{"id":37751,"date":"2023-08-23T11:40:22","date_gmt":"2023-08-23T17:10:22","guid":{"rendered":"https:\/\/therightmentor.com\/?p=37751"},"modified":"2024-06-13T19:18:12","modified_gmt":"2024-06-13T13:48:12","slug":"statistics-study","status":"publish","type":"post","link":"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/statistics-study\/","title":{"rendered":"STATISTICS | Study"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_82_2 ez-toc-wrap-center counter-hierarchy ez-toc-counter ez-toc-light-blue ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title ez-toc-toggle\" style=\"cursor:pointer\">Click For Contents <\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"Toggle Table of Content\"><span class=\"ez-toc-js-icon-con\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/span><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 eztoc-toggle-hide-by-default' ><ul class='ez-toc-list-level-2' ><li class='ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/statistics-study\/#Pre-Requisires\" >Pre-Requisires<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/statistics-study\/#Speed_Notes\" >Speed Notes<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/statistics-study\/#Study_Tools\" >Study Tools<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/statistics-study\/#Statistics\" >Statistics<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-1'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/statistics-study\/#Statistics_is_the_study_of_collection_organization_analysis_and_interpretation_of_data\" >Statistics is the study of collection, organization, analysis and interpretation of data.<\/a><ul class='ez-toc-list-level-2' ><li class='ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/statistics-study\/#Data\" >Data<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-1'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/statistics-study\/#Data_is_a_distinct_piece_of_information_in_the_form_of_fact_or_figures_collected_or_represented_for_any_specific_purpose_The_word_data_is_derived_from_the_Latin_word_Datum\" >Data is a distinct piece of information in the form of fact or figures collected or represented for any specific purpose. The word data is derived from the Latin word Datum.<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/statistics-study\/#Collection_of_Data\" >Collection of Data<\/a><\/li><\/ul><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-1'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/statistics-study\/#In_general_data_is_of_two_types_They_are\" >In general, data is of two types. They are:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-1'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/statistics-study\/#Primary_Data\" >Primary Data<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-1'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/statistics-study\/#Primary_data_is_the_data_collected_from_any_firsthand_experience_for_an_explicit_use_or_purpose\" >Primary data is the data collected from any firsthand experience for an explicit use or purpose.<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-1'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/statistics-study\/#Secondary_data\" >Secondary data<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-1'><a class=\"ez-toc-link ez-toc-heading-13\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/statistics-study\/#Secondary_data_is_the_data_collected_by_any_third_party_for_a_different_purpose_other_than_the_user\" >Secondary data is the data collected by any third party for a different purpose other than the user.<\/a><ul class='ez-toc-list-level-2' ><li class='ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-14\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/statistics-study\/#Presentation_of_Data\" >Presentation of Data<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-1'><a class=\"ez-toc-link ez-toc-heading-15\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/statistics-study\/#After_collecting_data_it_is_important_to_present_it_meaningfully_There_are_many_ways_to_present_data\" >After collecting data it is important to present it meaningfully. There are many ways to present data.<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-16\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/statistics-study\/#1_Raw_Data_or_Ungrouped_Data\" >1. Raw Data or Ungrouped Data<\/a><\/li><\/ul><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-1'><a class=\"ez-toc-link ez-toc-heading-17\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/statistics-study\/#a_Raw_Data_or_Ungrouped_Data_is_the_collected_data_without_any_change_in_its_form\" >a. Raw Data or Ungrouped Data is the collected data without any change in its form.<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-1'><a class=\"ez-toc-link ez-toc-heading-18\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/statistics-study\/#Example\" >Example<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-1'><a class=\"ez-toc-link ez-toc-heading-19\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/statistics-study\/#The_marks_obtained_by_10_students_in_a_Mathematics_test_are\" >The marks obtained by 10 students in a Mathematics test are:&nbsp;<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-1'><a class=\"ez-toc-link ez-toc-heading-20\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/statistics-study\/#_55_36_95_73_60_42_25_78_75_62\" >&nbsp;55 36 95 73 60 42 25 78 75 62<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-1'><a class=\"ez-toc-link ez-toc-heading-21\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/statistics-study\/#Range\" >Range<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-1'><a class=\"ez-toc-link ez-toc-heading-22\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/statistics-study\/#Range_is_the_difference_between_the_highest_and_the_lowest_values_of_data\" >Range is the difference between the highest and the lowest values of data.<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-1'><a class=\"ez-toc-link ez-toc-heading-23\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/statistics-study\/#b_Frequency_Distribution_Table_%E2%80%93_Frequency_Distribution_Table_is_the_data_of_a_large_number_of_items_converted_into_tabular_form\" >b. Frequency Distribution Table &#8211; Frequency Distribution Table is the data of a large number of items converted into tabular form.<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-1'><a class=\"ez-toc-link ez-toc-heading-24\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/statistics-study\/#Frequency_is_the_number_of_times_the_item_comes_to_the_table\" >Frequency is the number of times the item comes to the table.<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-25\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/statistics-study\/#2_Grouped_Data\" >2. Grouped Data<\/a><\/li><\/ul><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-1'><a class=\"ez-toc-link ez-toc-heading-26\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/statistics-study\/#To_present_the_very_large_number_of_items_in_the_data_we_use_a_grouped_distribution_table\" >To present the very large number of items in the data we use a grouped distribution table.<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-1'><a class=\"ez-toc-link ez-toc-heading-27\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/statistics-study\/#Grouped_Distribution_Table\" >Grouped Distribution Table<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-1'><a class=\"ez-toc-link ez-toc-heading-28\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/statistics-study\/#a_Class_Interval_%E2%80%93_The_group_used_to_classify_the_data_is_called_the_class_interval_ie_20_%E2%80%93_30_30_%E2%80%93_40\" >a. Class Interval \u2013 The group used to classify the data is called the class interval i.e. 20 \u2013 30, 30 \u2013 40.<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-1'><a class=\"ez-toc-link ez-toc-heading-29\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/statistics-study\/#b_Upper_Limit_%E2%80%93_In_each_class_interval_the_greatest_number_is_the_upper-class_limit\" >b. Upper Limit &#8211; In each class interval, the greatest number is the upper-class limit.<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-1'><a class=\"ez-toc-link ez-toc-heading-30\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/statistics-study\/#c_Lower_Limit_%E2%80%93_In_each_class_interval_the_smallest_number_is_the_lower_class_limit\" >c. Lower Limit \u2013 In each class interval, the smallest number is the lower class limit.<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-1'><a class=\"ez-toc-link ez-toc-heading-31\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/statistics-study\/#d_Class_Size_%E2%80%93_It_is_the_difference_between_the_upper_limit_and_the_lower_limit_ie_10\" >d. Class Size &#8211; It is the difference between the upper limit and the lower limit i.e. 10.<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-1'><a class=\"ez-toc-link ez-toc-heading-32\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/statistics-study\/#Class_Size_Upper_Limit_%E2%80%93_Lower_Limit\" >Class Size = Upper Limit &#8211; Lower Limit<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-1'><a class=\"ez-toc-link ez-toc-heading-33\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/statistics-study\/#e_Class_Mark_%E2%80%93_The_midpoint_of_each_class_interval_is_the_class_mark\" >e. Class Mark &nbsp;\u2013 The midpoint of each class interval is the class mark.<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-1'><a class=\"ez-toc-link ez-toc-heading-34\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/statistics-study\/#Grouped_data_could_be_of_two_types_as_below\" >Grouped data could be of two types as below:-<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-1'><a class=\"ez-toc-link ez-toc-heading-35\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/statistics-study\/#Inclusive_or_discontinuous_Frequency_Distribution_%E2%80%93_If_the_upper_limit_of_a_class_is_different_from_the_lower_limit_of_its_next_class_then_it_is_said_to_be_an_Inclusive_or_discontinuous_Frequency_Distribution\" >Inclusive or discontinuous Frequency Distribution \u2013 If the upper limit of a class is different from the lower limit of its next class then it is said to be an Inclusive or discontinuous Frequency Distribution.<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-36\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/statistics-study\/#Example-2\" >Example<\/a><\/li><\/ul><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-1'><a class=\"ez-toc-link ez-toc-heading-37\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/statistics-study\/#Draw_the_histogram_of_the_following_frequency_distribution\" >Draw the histogram of the following frequency distribution.<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-1'><a class=\"ez-toc-link ez-toc-heading-38\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/statistics-study\/#Exclusive_or_continuous_Frequency_Distribution_%E2%80%93_If_the_upper_limit_of_a_class_is_the_same_as_the_lower_limit_of_its_next_class_then_it_is_said_to_be_exclusive_or_continuous_Frequency_Distribution\" >Exclusive or continuous Frequency Distribution \u2013 If the upper limit of a class is the same as the lower limit of its next class then it is said to be exclusive or continuous Frequency Distribution<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-39\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/statistics-study\/#Example-3\" >Example<\/a><\/li><\/ul><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-1'><a class=\"ez-toc-link ez-toc-heading-40\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/statistics-study\/#Draw_the_histogram_of_the_following_frequency_distribution-2\" >Draw the histogram of the following frequency distribution.<\/a><ul class='ez-toc-list-level-2' ><li class='ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-41\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/statistics-study\/#Graphical_Representation_of_Data\" >Graphical Representation of Data<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-1'><a class=\"ez-toc-link ez-toc-heading-42\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/statistics-study\/#Since_a_picture_represents_better_than_a_thousand_words_The_data_is_presented_graphically_Some_of_the_methods_of_representing_the_data_graphically_are\" >Since a picture represents better than a thousand words, The data is presented graphically. Some of the methods of representing the data graphically are:<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-43\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/statistics-study\/#1_Bar_Graph\" >1. Bar Graph<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-44\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/statistics-study\/#2_Histogram\" >2. Histogram<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-45\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/statistics-study\/#3_Frequency_Polygon\" >3. Frequency Polygon<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-46\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/statistics-study\/#1_Bar_Graph-2\" >1. Bar Graph<\/a><\/li><\/ul><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-1'><a class=\"ez-toc-link ez-toc-heading-47\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/statistics-study\/#It_is_the_easiest_way_to_represent_the_data_in_the_form_of_rectangular_bars_so_it_is_called_Bar_graph\" >It is the easiest way to represent the data in the form of rectangular bars so it is called Bar graph.<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-48\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/statistics-study\/#Example-4\" >Example<\/a><\/li><\/ul><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-1'><a class=\"ez-toc-link ez-toc-heading-49\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/statistics-study\/#Represent_the_average_monthly_rainfall_of_Nepal_for_the_first_six_months_in_the_year_2014\" >Represent the average monthly rainfall of Nepal for the first six months in the year 2014.<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-50\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/statistics-study\/#Solution\" >Solution<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-51\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/statistics-study\/#2_Histogram-2\" >2. Histogram<\/a><\/li><\/ul><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-1'><a class=\"ez-toc-link ez-toc-heading-52\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/statistics-study\/#It_is_similar_to_Bar_graph_but_it_is_used_in_case_of_a_continuous_class_interval\" >It is similar to Bar graph, but it is used in case of a continuous class interval.<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-53\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/statistics-study\/#Example-5\" >Example<\/a><\/li><\/ul><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-1'><a class=\"ez-toc-link ez-toc-heading-54\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/statistics-study\/#Draw_the_histogram_of_the_following_frequency_distribution-3\" >Draw the histogram of the following frequency distribution.<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-55\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/statistics-study\/#Solution-2\" >Solution:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-56\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/statistics-study\/#3_Frequency_Polygon-2\" >3. Frequency Polygon<\/a><\/li><\/ul><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-1'><a class=\"ez-toc-link ez-toc-heading-57\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/statistics-study\/#Procedure_to_draw_the_frequency_polygon\" >Procedure to draw the frequency polygon<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-1'><a class=\"ez-toc-link ez-toc-heading-58\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/statistics-study\/#If_we_need_to_draw_the_frequency_polygon_without_drawing_the_histogram_then_first_we_need_to_calculate_the_class_mark_of_each_interval_and_these_points_will_make_the_frequency_polygon\" >If we need to draw the frequency polygon without drawing the histogram then first we need to calculate the class mark of each interval and these points will make the frequency polygon.<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-59\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/statistics-study\/#Example-6\" >Example<\/a><\/li><\/ul><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-1'><a class=\"ez-toc-link ez-toc-heading-60\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/statistics-study\/#Draw_the_frequency_polygon_of_a_city_in_which_the_following_weekly_observations_were_made_in_a_study_on_the_cost_of_living_index_without_histogram\" >Draw the frequency polygon of a city in which the following weekly observations were made in a study on the cost of living index without histogram.<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-1'><a class=\"ez-toc-link ez-toc-heading-61\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/statistics-study\/#Step_1_First_of_all_we_need_to_calculate_the_class_mark_of_each_class_interval\" >Step 1: First of all we need to calculate the class mark of each class interval.<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-1'><a class=\"ez-toc-link ez-toc-heading-62\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/statistics-study\/#Step_2_Take_the_suitable_scale_and_represent_the_class_marks_on_the_x-axis\" >Step 2: Take the suitable scale and represent the class marks on the x-axis.<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-1'><a class=\"ez-toc-link ez-toc-heading-63\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/statistics-study\/#Step_3_Take_the_suitable_scale_and_represent_the_frequency_distribution_on_the_y-axis\" >Step 3: Take the suitable scale and represent the frequency distribution on the y-axis.<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-1'><a class=\"ez-toc-link ez-toc-heading-64\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/statistics-study\/#Step_4_To_complete_the_frequency_polygon_we_will_join_it_with_the_x-axis_before_the_first_class_and_after_the_last_interval\" >Step 4: To complete the frequency polygon we will join it with the x-axis before the first class and after the last interval.<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-1'><a class=\"ez-toc-link ez-toc-heading-65\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/statistics-study\/#Step_5_Now_plot_the_respective_points_and_join_to_make_the_frequency_polygon\" >Step 5: Now plot the respective points and join to make the frequency polygon.<\/a><ul class='ez-toc-list-level-2' ><li class='ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-66\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/statistics-study\/#Measures_of_Central_Tendency\" >Measures of Central Tendency<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-1'><a class=\"ez-toc-link ez-toc-heading-67\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/statistics-study\/#To_make_all_the_study_of_data_useful_we_need_to_use_measures_of_central_tendencies_Some_of_the_tendencies_are\" >To make all the study of data useful, we need to use measures of central tendencies. Some of the tendencies are<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-68\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/statistics-study\/#1_Mean\" >1. Mean<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-69\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/statistics-study\/#2_Median\" >2. Median<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-70\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/statistics-study\/#3_Mode\" >3. Mode<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-71\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/statistics-study\/#1_Mean_Average\" >1. Mean (Average)<\/a><\/li><\/ul><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-1'><a class=\"ez-toc-link ez-toc-heading-72\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/statistics-study\/#The_mean_is_the_average_of_the_number_of_observations_It_is_calculated_by_dividing_the_sum_of_the_values_of_the_observations_by_the_total_number_of_observations\" >The mean is the average of the number of observations. It is calculated by dividing the sum of the values of the observations by the total number of observations.<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-1'><a class=\"ez-toc-link ez-toc-heading-73\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/statistics-study\/#It_is_represented_by_x_bar_or\" >It is represented by x bar or.<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-1'><a class=\"ez-toc-link ez-toc-heading-74\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/statistics-study\/#The_meanof_n_values_x1_x2_x3_%E2%80%A6%E2%80%A6_xn_is_given_by\" >The meanof n values x1, x2, x3, &#8230;&#8230; xn is given by<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-75\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/statistics-study\/#Mean_of_Grouped_Data_Without_Class_Interval\" >Mean of Grouped Data (Without Class Interval)<\/a><\/li><\/ul><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-1'><a class=\"ez-toc-link ez-toc-heading-76\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/statistics-study\/#If_the_data_is_organized_in_such_a_way_that_the_frequency_is_given_but_there_is_no_class_interval_then_we_can_calculate_the_mean_by\" >If the data is organized in such a way that the frequency is given but there is no class interval then we can calculate the mean by<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-1'><a class=\"ez-toc-link ez-toc-heading-77\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/statistics-study\/#where_x1_x2_x3%E2%80%A6%E2%80%A6_xn_are_the_observations\" >where, x1, x2, x3,&#8230;&#8230; xn are the observations<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-1'><a class=\"ez-toc-link ez-toc-heading-78\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/statistics-study\/#f1_f2_f3_%E2%80%A6%E2%80%A6_fn_are_the_respective_frequencies_of_the_given_observations\" >f1, f2, f3, &#8230;&#8230; fn are the respective frequencies of the given observations.<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-79\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/statistics-study\/#Example-7\" >Example<\/a><\/li><\/ul><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-1'><a class=\"ez-toc-link ez-toc-heading-80\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/statistics-study\/#Here_x1_x2_x3_x4_and_x5_are_20_40_60_80100_respectively\" >Here, x1, x2, x3, x4, and x5 are 20, 40, 60, 80,100 respectively.<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-1'><a class=\"ez-toc-link ez-toc-heading-81\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/statistics-study\/#and_f1_f2_f3_f4_f5_are_40_60_30_50_20_respectively\" >and f1 , f2 , f3 , f4, f5 are 40, 60, 30, 50, 20 respectively.<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-82\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/statistics-study\/#2_Median-2\" >2. Median<\/a><\/li><\/ul><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-1'><a class=\"ez-toc-link ez-toc-heading-83\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/statistics-study\/#The_median_is_the_middle_value_of_the_given_number_of_the_observation_which_divides_into_exactly_two_parts\" >The median is the middle value of the given number of the observation which divides into exactly two parts.<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-1'><a class=\"ez-toc-link ez-toc-heading-84\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/statistics-study\/#For_median_of_ungrouped_data_we_arrange_it_in_ascending_order_and_then_calculated_as_follows\" >For median of ungrouped data, we arrange it in ascending order and then calculated as follows<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-1'><a class=\"ez-toc-link ez-toc-heading-85\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/statistics-study\/#_4th_term\" >= 4th term.<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-1'><a class=\"ez-toc-link ez-toc-heading-86\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/statistics-study\/#The_fourth_term_is_44\" >The fourth term is 44.<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-87\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/statistics-study\/#Example-8\" >Example<\/a><\/li><\/ul><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-1'><a class=\"ez-toc-link ez-toc-heading-88\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/statistics-study\/#Find_the_median_of_the_following_data\" >Find the median of the following data.<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-1'><a class=\"ez-toc-link ez-toc-heading-89\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/statistics-study\/#1_First_we_need_to_arrange_it_in_ascending_order\" >1. First, we need to arrange it in ascending order.<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-1'><a class=\"ez-toc-link ez-toc-heading-90\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/statistics-study\/#4_6_7810121213\" >4, 6, 7,8,10,12,12,13<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-1'><a class=\"ez-toc-link ez-toc-heading-91\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/statistics-study\/#2_The_no_of_observation_is_8_As_the_no_of_observation_is_even_the_median_is_the_average_of_n2_and_n21\" >2. The no. of observation is 8. As the no. of observation is even the median is the average of n\/2 and (n\/2)+1.<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-1'><a class=\"ez-toc-link ez-toc-heading-92\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/statistics-study\/#3\" >3.<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-1'><a class=\"ez-toc-link ez-toc-heading-93\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/statistics-study\/#4_4th_term_is_8_and_the_5th_term_is_10\" >4.&nbsp; 4th term is 8 and the 5th term is 10.<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-1'><a class=\"ez-toc-link ez-toc-heading-94\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/statistics-study\/#5_So_the_median\" >5. So the median<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-95\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/statistics-study\/#3_Mode-2\" >3. Mode<\/a><\/li><\/ul><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-1'><a class=\"ez-toc-link ez-toc-heading-96\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/statistics-study\/#The_mode_is_the_value_of_the_observation_which_shows_the_number_that_occurs_frequently_in_data_ie_the_number_of_observations_which_has_the_maximum_frequency_is_known_as_the_Mode\" >The mode is the value of the observation which shows the number that occurs frequently in data i.e. the number of observations which has the maximum frequency is known as the Mode.<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-97\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/statistics-study\/#Example-9\" >Example<\/a><\/li><\/ul><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-1'><a class=\"ez-toc-link ez-toc-heading-98\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/statistics-study\/#Find_the_Mode_of_the_following_data\" >Find the Mode of the following data:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-1'><a class=\"ez-toc-link ez-toc-heading-99\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/statistics-study\/#15_20_22_25_30_2015_2012_20\" >15, 20, 22, 25, 30, 20,15, 20,12, 20<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-100\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/statistics-study\/#Solution-3\" >Solution<\/a><\/li><\/ul><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-1'><a class=\"ez-toc-link ez-toc-heading-101\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/statistics-study\/#Here_the_number_20_appears_the_maximum_number_of_times_so\" >Here the number 20 appears the maximum number of times so<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-1'><a class=\"ez-toc-link ez-toc-heading-102\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/statistics-study\/#Mode_20\" >Mode = 20.<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-1'><a class=\"ez-toc-link ez-toc-heading-103\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/statistics-study\/#Remark_The_empirical_relation_between_the_three_measures_of_central_tendency_is_3_Median_Mode_2_Mean\" >Remark: The empirical relation between the three measures of central tendency is: 3 Median = Mode + 2 Mean<\/a><ul class='ez-toc-list-level-2' ><li class='ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-104\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/statistics-study\/#Dig_Deep\" >Dig Deep<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-105\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/statistics-study\/#Sub_%E2%80%93_Topics\" >Sub &#8211; Topics<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-106\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/statistics-study\/#Chapters_Index\" >Chapters Index<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-107\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/statistics-study\/#Assessments\" >Assessments<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n\n<hr class=\"wp-block-separator alignfull has-text-color has-vivid-cyan-blue-color has-alpha-channel-opacity has-vivid-cyan-blue-background-color has-background is-style-wide is-style-wide--1\"\/>\n\n\n\n<div class=\"wp-block-group alignfull has-global-padding is-layout-constrained wp-block-group-is-layout-constrained\">\n<div class=\"wp-block-group alignfull has-tertiary-background-color has-background has-global-padding is-layout-constrained wp-container-core-group-is-layout-19c400f2 wp-block-group-is-layout-constrained\" style=\"margin-top:0;margin-bottom:0\">\n<div class=\"wp-block-buttons alignfull is-content-justification-left is-layout-flex wp-container-core-buttons-is-layout-6e9f73ed wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link has-base-color has-vivid-red-background-color has-text-color has-background wp-element-button\" href=\"https:\/\/therightmentor.com\/number-systems-assessments\/\">Assess<\/a><\/div>\n\n\n\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link has-vivid-cyan-blue-background-color has-background wp-element-button\" style=\"border-width:2px\">Interact<\/a><\/div>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-group alignfull has-global-padding is-layout-constrained wp-block-group-is-layout-constrained\">\n<div class=\"wp-block-columns alignfull is-layout-flex wp-container-core-columns-is-layout-28f84493 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column has-tertiary-background-color has-background is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:33.33%\">\n<h2 class=\"wp-block-heading has-large-font-size\"><span class=\"ez-toc-section\" id=\"Pre-Requisires\"><\/span>Pre-Requisires<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p class=\"has-small-font-size\">Test &amp; Enrich<\/p>\n\n\n\n<div class=\"wp-block-buttons is-layout-flex wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button has-custom-width wp-block-button__width-100 has-custom-font-size is-style-outline has-small-font-size is-style-outline--2\"><a class=\"wp-block-button__link has-text-align-left wp-element-button\">Pre &#8211; Requisite<\/a><\/div>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:66.66%\">\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-28f84493 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-4-3 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<iframe title=\"Statistics\" width=\"500\" height=\"375\" src=\"https:\/\/www.youtube.com\/embed\/mk-eXg6InC4?list=PLEuUy4TjqFeAOkz9COEMEDiOCqPLFgr-9\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe>\n<\/div><figcaption class=\"wp-element-caption\">English Version<\/figcaption><\/figure>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-columns alignfull is-layout-flex wp-container-core-columns-is-layout-28f84493 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column has-base-background-color has-text-color has-background has-link-color wp-elements-c228dd42c7ee228eaad8643bf09b5df8 is-layout-flow wp-block-column-is-layout-flow\" style=\"color:#000000;padding-top:2em;padding-right:2em;padding-bottom:2em;padding-left:2em\">\n<h2 class=\"wp-block-heading\" id=\"single\" style=\"font-size:clamp(24.034px, 1.502rem + ((1vw - 3.2px) * 1.565), 40px);\"><span class=\"ez-toc-section\" id=\"Speed_Notes\"><\/span><strong>Speed Notes<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p class=\"has-luminous-vivid-orange-color has-text-color has-normal-font-size\" style=\"line-height:1.5\"><strong><strong>Notes For Quick Recap<\/strong><\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-text-color has-css-opacity has-background is-style-wide is-style-wide--3\" style=\"background-color:#000000;color:#000000\"\/>\n\n\n\n<p><\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"single\" style=\"font-size:clamp(24.034px, 1.502rem + ((1vw - 3.2px) * 1.565), 40px);\"><span class=\"ez-toc-section\" id=\"Study_Tools\"><\/span><strong>Study Tools<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p class=\"has-luminous-vivid-orange-color has-text-color has-normal-font-size\" style=\"line-height:1.5\"><strong>Audio, Visual &amp; Digital Content<\/strong><\/p>\n\n\n                <div class=\"igd igd-shortcode-wrap igd-shortcode-slider\"\n                     data-shortcode-data=\"{"id":226,"status":"on","title":"STATISTICS | Study","type":"slider","allFolders":false,"folders":[{"id":"1hUDm7owKHOlxqm9BwevqXeniK5Ri4Le_","name":"Statistics.pdf","type":"application\/pdf","size":"358807","iconLink":"https:\/\/drive-thirdparty.googleusercontent.com\/16\/type\/application\/pdf","thumbnailLink":"https:\/\/lh3.googleusercontent.com\/hc0cAnO16mPHyfTypRpDN18mY2G3OHzvRkFAsQXv941Tr5qvJNPleEfWXRWb0r7avlaU5y_54rkV5uM=s220","webViewLink":"https:\/\/drive.google.com\/file\/d\/1hUDm7owKHOlxqm9BwevqXeniK5Ri4Le_\/view?usp=drivesdk","webContentLink":"https:\/\/drive.google.com\/uc?id=1hUDm7owKHOlxqm9BwevqXeniK5Ri4Le_&export=download","created":"2023-08-29T03:42:52.744Z","updated":"2023-03-17T15:39:10.000Z","description":null,"parents":["1a2TZyy8wtOAcqKe34QNL6kK-st5ahl5i"],"shared":true,"sharedWithMeTime":null,"extension":"pdf","resourceKey":null,"copyRequiresWriterPermission":false,"starred":null,"exportLinks":null,"accountId":"13745142253359366437","permissions":{"canPreview":true,"canDownload":true,"canEdit":false,"canDelete":true,"canTrash":true,"canMove":true,"canRename":true,"canShare":true,"copyRequiresWriterPermission":false,"canChangeCopyRequiresWriterPermission":null,"users":{"14839868887310067358":{"type":"user","role":"writer","domain":null},"12393008518953754506":{"type":"user","role":"writer","domain":null},"10368846457677789243":{"type":"user","role":"writer","domain":null},"13745142253359366437":{"type":"user","role":"owner","domain":null}}},"exportAs":[],"isFolder":false},{"id":"1MoUH_2dtyHXLbqex4OY5_5OT2xEmTJOW","name":"STATISTICS","type":"application\/pdf","size":"415493","iconLink":"https:\/\/drive-thirdparty.googleusercontent.com\/16\/type\/application\/pdf","thumbnailLink":"https:\/\/lh3.googleusercontent.com\/64D7j44qZMJKeJU44TJT0uslyqLzjHoKevSAQYdkAlVj_S4823c20SMdsSCd3RA2bEHPkZLeDK7jI-M=s220","webViewLink":"https:\/\/drive.google.com\/file\/d\/1MoUH_2dtyHXLbqex4OY5_5OT2xEmTJOW\/view?usp=drivesdk","webContentLink":"https:\/\/drive.google.com\/uc?id=1MoUH_2dtyHXLbqex4OY5_5OT2xEmTJOW&export=download","created":"2021-06-22T07:47:13.358Z","updated":"2023-01-27T18:36:45.694Z","description":null,"parents":["1keqpYxCAlePmtCa_ixMfkmxsAN9X9WsX"],"shared":true,"sharedWithMeTime":null,"extension":"pdf","resourceKey":null,"copyRequiresWriterPermission":false,"starred":null,"exportLinks":null,"accountId":"13745142253359366437","permissions":{"canPreview":true,"canDownload":true,"canEdit":false,"canDelete":true,"canTrash":true,"canMove":true,"canRename":true,"canShare":true,"copyRequiresWriterPermission":false,"canChangeCopyRequiresWriterPermission":null,"users":{"14839868887310067358":{"type":"user","role":"writer","domain":null},"12393008518953754506":{"type":"user","role":"writer","domain":null},"10368846457677789243":{"type":"user","role":"writer","domain":null},"16235743372950782834":{"type":"group","role":"writer","domain":null},"16265465276400750306":{"type":"group","role":"reader","domain":null},"13745142253359366437":{"type":"user","role":"owner","domain":null}}},"exportAs":[],"isFolder":false},{"id":"1B8jvaZWSFeQwPGbchTj8eI6WFTRVOPyf","name":"STATISTICS | NCERT Solutions","type":"application\/pdf","size":"580504","iconLink":"https:\/\/drive-thirdparty.googleusercontent.com\/16\/type\/application\/pdf","thumbnailLink":"https:\/\/lh3.googleusercontent.com\/zhqyTKNetnmgy6tb74b_fdTxHLRxa220ooljc5KxPeaBqJLHQtqdJoTctzxNiLI_EbMnkvea_4oJhxY=s220","webViewLink":"https:\/\/drive.google.com\/file\/d\/1B8jvaZWSFeQwPGbchTj8eI6WFTRVOPyf\/view?usp=drivesdk","webContentLink":"https:\/\/drive.google.com\/uc?id=1B8jvaZWSFeQwPGbchTj8eI6WFTRVOPyf&export=download","created":"2022-07-01T09:46:33.983Z","updated":"2023-09-02T15:22:52.551Z","description":null,"parents":["1VtJ0N1zpF-4oqGqivqJ7qOHsIyaMck2G"],"shared":true,"sharedWithMeTime":null,"extension":"pdf","resourceKey":null,"copyRequiresWriterPermission":true,"starred":null,"exportLinks":null,"accountId":"13745142253359366437","permissions":{"canPreview":true,"canDownload":true,"canEdit":false,"canDelete":true,"canTrash":true,"canMove":true,"canRename":true,"canShare":true,"copyRequiresWriterPermission":true,"canChangeCopyRequiresWriterPermission":null,"users":{"14839868887310067358":{"type":"user","role":"writer","domain":null},"12393008518953754506":{"type":"user","role":"writer","domain":null},"10368846457677789243":{"type":"user","role":"writer","domain":null},"anyoneWithLink":{"type":"anyone","role":"reader","domain":null},"13745142253359366437":{"type":"user","role":"owner","domain":null}}},"exportAs":[],"isFolder":false}],"privateFolders":false,"allowExtensions":null,"allowAllExtensions":false,"allowExceptExtensions":null,"allowNames":null,"allowAllNames":false,"allowExceptNames":null,"nameFilterOptions":["files"],"showFiles":true,"showFolders":true,"fileNumbers":"","embedWidth":"100%","embedHeight":"480px","sort":{"sortBy":"name","sortDirection":"asc"},"view":"list","lazyLoad":true,"lazyLoadNumber":100,"maxFileSize":"","minFileSize":"","enableFolderUpload":false,"openNewTab":true,"showUploadLabel":true,"uploadLabelText":"Upload Files","allowEmbedPopout":true,"thumbnailCaption":true,"preview":true,"download":false,"displayFor":"everyone","displayUsers":["everyone"],"displayEveryone":false,"displayExcept":[],"showAccessDeniedMessage":true,"nonce":"5cf0977428","canDelete":false,"rename":false,"upload":false,"newFolder":false,"moveCopy":false,"allowShare":false,"allowSearch":false,"createDoc":false,"edit":false,"copyLink":false,"details":false,"comment":false,"photoProof":false,"filters":{"fileNumbers":"","allowExtensions":"","allowAllExtensions":false,"allowExceptExtensions":"","allowNames":"","allowAllNames":false,"allowExceptNames":"","nameFilterOptions":["files"],"showFiles":true,"showFolders":true},"accounts":{"12393008518953754506":{"id":"12393008518953754506","name":"","email":"","photo":"https:\/\/lh3.googleusercontent.com\/a\/ACg8ocK8uWQ6TsBbJmvsK1f4el0KEIxCOG7GUoKMYWpm0lu4F0oYhbI=s64","storage":{"usage":"16110460874","limit":"16106127360"},"lost":false,"root_id":"0ALJOj97JDAWZUk9PVA","user_id":["admin"],"is_specific_folders":true},"13745142253359366437":{"id":"13745142253359366437","name":"","email":"","photo":"https:\/\/lh3.googleusercontent.com\/a\/ACg8ocJFDO1PJ52Pt6nlASXDZ7GcBNKJFGdzYwS-P8oybSgFRgl95g=s64","storage":{"usage":"5289238677","limit":"32212254720"},"lost":false,"root_id":"0AB4OhBWnqYIuUk9PVA","user_id":["admin"],"is_specific_folders":true,"specific_folders":[{"id":"1kLT5QgtzlZTB4khehCrbNGxuudfRGyzi","accountId":"13745142253359366437","name":"My Folder","iconLink":"https:\/\/drive-thirdparty.googleusercontent.com\/16\/type\/application\/vnd.google-apps.folder","description":"","type":"application\/vnd.google-apps.folder","parents":["root"]},{"id":"1CayX4rIYQHa3s5MhnnBafPGGl72fEwpE","accountId":"13745142253359366437","name":"TRM Quizzer","iconLink":"https:\/\/drive-thirdparty.googleusercontent.com\/16\/type\/application\/vnd.google-apps.folder+43+shared","description":"","type":"application\/vnd.google-apps.folder","parents":["1Y6mpNio7gUm2mtZwxVVLBVA4KDSu-ct5"]},{"id":"1JZC1av4JbIaPGqA5dZ8UZw0xHAGWL58K","accountId":"13745142253359366437","name":"CBSE6 Math","iconLink":"https:\/\/drive-thirdparty.googleusercontent.com\/16\/type\/application\/vnd.google-apps.folder+shared","description":"","type":"application\/vnd.google-apps.folder","parents":["1Y6mpNio7gUm2mtZwxVVLBVA4KDSu-ct5"]},{"id":"1fcefZOxAkDy_sixjQZuC3S1L1vF61_pM","accountId":"13745142253359366437","name":"EXEMPLAR Solutions","iconLink":"https:\/\/drive-thirdparty.googleusercontent.com\/16\/type\/application\/vnd.google-apps.folder+shared","description":"","type":"application\/vnd.google-apps.folder","parents":["1Y6mpNio7gUm2mtZwxVVLBVA4KDSu-ct5"]},{"id":"1CVKR_-Kzp_ek7_mtVkjFWiodMRfyR8oK","accountId":"13745142253359366437","name":"CBSE6 Science","iconLink":"https:\/\/drive-thirdparty.googleusercontent.com\/16\/type\/application\/vnd.google-apps.folder+shared","description":"","type":"application\/vnd.google-apps.folder","parents":["1Y6mpNio7gUm2mtZwxVVLBVA4KDSu-ct5"]},{"id":"1qcc336zuNnooTxxkws2pgEBA0pnpTibx","accountId":"13745142253359366437","name":"CBSE7 Math","iconLink":"https:\/\/drive-thirdparty.googleusercontent.com\/16\/type\/application\/vnd.google-apps.folder+shared","description":"","type":"application\/vnd.google-apps.folder","parents":["1Y6mpNio7gUm2mtZwxVVLBVA4KDSu-ct5"]},{"id":"15op-cldu17M4Gg8mPY8UikCbrBvkS8jR","accountId":"13745142253359366437","name":"CBSE7 Science","iconLink":"https:\/\/drive-thirdparty.googleusercontent.com\/16\/type\/application\/vnd.google-apps.folder+shared","description":"","type":"application\/vnd.google-apps.folder","parents":["1Y6mpNio7gUm2mtZwxVVLBVA4KDSu-ct5"]},{"id":"1P7OaA_9rN1fU-7sL8mfuGsK_vcfSGCT-","accountId":"13745142253359366437","name":"CBSE8 Math","iconLink":"https:\/\/drive-thirdparty.googleusercontent.com\/16\/type\/application\/vnd.google-apps.folder+shared","description":"","type":"application\/vnd.google-apps.folder","parents":["1Y6mpNio7gUm2mtZwxVVLBVA4KDSu-ct5"]},{"id":"1gV2vYSCjSpJs9i9Wpd_mDlJOJbGJq-Rp","accountId":"13745142253359366437","name":"CBSE8 Science","iconLink":"https:\/\/drive-thirdparty.googleusercontent.com\/16\/type\/application\/vnd.google-apps.folder+shared","description":"","type":"application\/vnd.google-apps.folder","parents":["1Y6mpNio7gUm2mtZwxVVLBVA4KDSu-ct5"]},{"id":"13vbs_GJwBN-rI00YbO0ig6y49kShR7Kb","accountId":"13745142253359366437","name":"CBSE9 Math","iconLink":"https:\/\/drive-thirdparty.googleusercontent.com\/16\/type\/application\/vnd.google-apps.folder+shared","description":"","type":"application\/vnd.google-apps.folder","parents":["1Y6mpNio7gUm2mtZwxVVLBVA4KDSu-ct5"]},{"id":"1U8MPm42rcZ7-_2Al7tC4wizgazbs28Mu","accountId":"13745142253359366437","name":"CBSE9 Science","iconLink":"https:\/\/drive-thirdparty.googleusercontent.com\/16\/type\/application\/vnd.google-apps.folder+shared","description":"","type":"application\/vnd.google-apps.folder","parents":["1Y6mpNio7gUm2mtZwxVVLBVA4KDSu-ct5"]},{"id":"1g7ltmcRLdt61huLeos_s6XZauUPqWQfG","accountId":"13745142253359366437","name":"CBSE10 Math","iconLink":"https:\/\/drive-thirdparty.googleusercontent.com\/16\/type\/application\/vnd.google-apps.folder+shared","description":"","type":"application\/vnd.google-apps.folder","parents":["1Y6mpNio7gUm2mtZwxVVLBVA4KDSu-ct5"]},{"id":"1TB0YUU1_tAjWEjVXEUiqvarJfyXmuxEW","accountId":"13745142253359366437","name":"CBSE10 Science","iconLink":"https:\/\/drive-thirdparty.googleusercontent.com\/16\/type\/application\/vnd.google-apps.folder+shared","description":"","type":"application\/vnd.google-apps.folder","parents":["1Y6mpNio7gUm2mtZwxVVLBVA4KDSu-ct5"]},{"id":"1n8ctzYDQZozZLRQ10O8t56FUnTzag5sr","accountId":"13745142253359366437","name":"TGT","iconLink":"https:\/\/drive-thirdparty.googleusercontent.com\/16\/type\/application\/vnd.google-apps.folder+shared","description":"","type":"application\/vnd.google-apps.folder","parents":["1Y6mpNio7gUm2mtZwxVVLBVA4KDSu-ct5"]},{"id":"1wDBJRJuQLEuWNlbAUuRySK9gyzyL9Iwl","accountId":"13745142253359366437","name":"Speed Notes","iconLink":"https:\/\/drive-thirdparty.googleusercontent.com\/16\/type\/application\/vnd.google-apps.folder+shared","description":"","type":"application\/vnd.google-apps.folder","parents":["1Y6mpNio7gUm2mtZwxVVLBVA4KDSu-ct5"]},{"id":"1jsNBaQob68FzrD-FwH4S6G0Ln5jnKLyc","accountId":"13745142253359366437","name":"MATHEMATICS","iconLink":"https:\/\/drive-thirdparty.googleusercontent.com\/16\/type\/application\/vnd.google-apps.folder+shared","description":"","type":"application\/vnd.google-apps.folder","parents":["1Y6mpNio7gUm2mtZwxVVLBVA4KDSu-ct5"]},{"id":"1XdwXrcFVhvzQd8T1eV_hQ3MA2_6D7Wmh","accountId":"13745142253359366437","name":"Full Notes","iconLink":"https:\/\/drive-thirdparty.googleusercontent.com\/16\/type\/application\/vnd.google-apps.folder+shared","description":"","type":"application\/vnd.google-apps.folder","parents":["1Y6mpNio7gUm2mtZwxVVLBVA4KDSu-ct5"]},{"id":"1Q3E5opGCGFxuZt4SG8u-mku0d2czA8FH","accountId":"13745142253359366437","name":"6,7,8 Summary PPT ","iconLink":"https:\/\/drive-thirdparty.googleusercontent.com\/16\/type\/application\/vnd.google-apps.folder+shared","description":"","type":"application\/vnd.google-apps.folder","parents":["1Y6mpNio7gUm2mtZwxVVLBVA4KDSu-ct5"]},{"id":"1YJhlseRfK5Gc_7jMG_-287SJndnMQB-3","accountId":"13745142253359366437","name":"E-Books","iconLink":"https:\/\/drive-thirdparty.googleusercontent.com\/16\/type\/application\/vnd.google-apps.folder+shared","description":"","type":"application\/vnd.google-apps.folder","parents":["1Y6mpNio7gUm2mtZwxVVLBVA4KDSu-ct5"]},{"id":"1SMY0yMeh5n_wXkk6OHjIkc4MweyZDKbm","accountId":"13745142253359366437","name":"CBSE Content Videos Purchased Content","iconLink":"https:\/\/drive-thirdparty.googleusercontent.com\/16\/type\/application\/vnd.google-apps.folder+shared","description":"","type":"application\/vnd.google-apps.folder","parents":["1Y6mpNio7gUm2mtZwxVVLBVA4KDSu-ct5"]},{"id":"1FJbmcb8ajxKVntaFGtyUZPRlIRvwvBKU","accountId":"13745142253359366437","name":"Chapter Maps","iconLink":"https:\/\/drive-thirdparty.googleusercontent.com\/16\/type\/application\/vnd.google-apps.folder+shared","description":"","type":"application\/vnd.google-apps.folder","parents":["1Y6mpNio7gUm2mtZwxVVLBVA4KDSu-ct5"]},{"id":"1smvx1y0YwTFRWPmNW5M0pgm3iSDXFmxo","accountId":"13745142253359366437","name":"Presentations","iconLink":"https:\/\/drive-thirdparty.googleusercontent.com\/16\/type\/application\/vnd.google-apps.folder+45+shared","description":"","type":"application\/vnd.google-apps.folder","parents":["1Y6mpNio7gUm2mtZwxVVLBVA4KDSu-ct5"]},{"id":"1i1VGOHFHXfUD3PCj09mVIIXsFPMczYdD","accountId":"13745142253359366437","name":"CBSE 10 SAMPLE PAPERS","iconLink":"https:\/\/drive-thirdparty.googleusercontent.com\/16\/type\/application\/vnd.google-apps.folder+shared","description":"","type":"application\/vnd.google-apps.folder","parents":["1Y6mpNio7gUm2mtZwxVVLBVA4KDSu-ct5"]},{"id":"1V_7HPklR8NkGdNNT6Xxrbd25nPFBKKen","accountId":"13745142253359366437","name":"CBSE Chapterwise ","iconLink":"https:\/\/drive-thirdparty.googleusercontent.com\/16\/type\/application\/vnd.google-apps.folder+shared","description":"","type":"application\/vnd.google-apps.folder","parents":["1Y6mpNio7gUm2mtZwxVVLBVA4KDSu-ct5"]},{"id":"1VJCho8qaVtwdhZNS_yWUGUXhMMFmTL8o","accountId":"13745142253359366437","name":"CBSE 9 Math Notes","iconLink":"https:\/\/drive-thirdparty.googleusercontent.com\/16\/type\/application\/vnd.google-apps.folder+shared","description":"","type":"application\/vnd.google-apps.folder","parents":["1Y6mpNio7gUm2mtZwxVVLBVA4KDSu-ct5"]},{"id":"14wFJFy8u5IvM1nSOWZuvALXp4jLMqYTU","accountId":"13745142253359366437","name":"TextBook Solutions","iconLink":"https:\/\/drive-thirdparty.googleusercontent.com\/16\/type\/application\/vnd.google-apps.folder+shared","description":"","type":"application\/vnd.google-apps.folder","parents":["1Y6mpNio7gUm2mtZwxVVLBVA4KDSu-ct5"]},{"id":"1EWS47uRgucSgRlu3pnsLU2TzvDCCCeXi","accountId":"13745142253359366437","name":"Question Bank","iconLink":"https:\/\/drive-thirdparty.googleusercontent.com\/16\/type\/application\/vnd.google-apps.folder+shared","description":"","type":"application\/vnd.google-apps.folder","parents":["1Y6mpNio7gUm2mtZwxVVLBVA4KDSu-ct5"]},{"id":"12h6wARC9zvf8yQlHaYa5WOFFy2xZjoVx","accountId":"13745142253359366437","name":"Lesson Plan","iconLink":"https:\/\/drive-thirdparty.googleusercontent.com\/16\/type\/application\/vnd.google-apps.folder+shared","description":"","type":"application\/vnd.google-apps.folder","parents":["1Y6mpNio7gUm2mtZwxVVLBVA4KDSu-ct5"]},{"id":"1bjUQ9xGoGDRTlp0XU2RvHA_HNKTxVl7z","accountId":"13745142253359366437","name":"CBSE Study Material","iconLink":"https:\/\/drive-thirdparty.googleusercontent.com\/16\/type\/application\/vnd.google-apps.folder+shared","description":"","type":"application\/vnd.google-apps.folder","parents":["1Y6mpNio7gUm2mtZwxVVLBVA4KDSu-ct5"]},{"id":"1L83k4A8p4uxijZ-A2Ukk0xo6C_TmVYI-","accountId":"13745142253359366437","name":"CBSE 10 Math Chatperwise Exam Question","iconLink":"https:\/\/drive-thirdparty.googleusercontent.com\/16\/type\/application\/vnd.google-apps.folder+shared","description":"","type":"application\/vnd.google-apps.folder","parents":["1Y6mpNio7gUm2mtZwxVVLBVA4KDSu-ct5"]},{"id":"1S001dHYbwtaK5vTeol6UAeu8k_8NTI7u","accountId":"13745142253359366437","name":"Amazing Science","iconLink":"https:\/\/drive-thirdparty.googleusercontent.com\/16\/type\/application\/vnd.google-apps.folder+shared","description":"","type":"application\/vnd.google-apps.folder","parents":["1Y6mpNio7gUm2mtZwxVVLBVA4KDSu-ct5"]},{"id":"1ibZAV06_psVDrXyAOFZoucHXTQGyfMME","accountId":"13745142253359366437","name":"Concept Maps","iconLink":"https:\/\/drive-thirdparty.googleusercontent.com\/16\/type\/application\/vnd.google-apps.folder+shared","description":"","type":"application\/vnd.google-apps.folder","parents":["1Y6mpNio7gUm2mtZwxVVLBVA4KDSu-ct5"]},{"id":"1I_J8iclBdhB3_vDZcGZWYPst7Gz6y1Vw","accountId":"13745142253359366437","name":"Learning Objectives","iconLink":"https:\/\/drive-thirdparty.googleusercontent.com\/16\/type\/application\/vnd.google-apps.folder+shared","description":"","type":"application\/vnd.google-apps.folder","parents":["1Y6mpNio7gUm2mtZwxVVLBVA4KDSu-ct5"]},{"id":"1Q5ZT14xs3oCV1ZxwGcud-Jc88SBZ78b5","accountId":"13745142253359366437","name":"Pre-requisies","iconLink":"https:\/\/drive-thirdparty.googleusercontent.com\/16\/type\/application\/vnd.google-apps.folder+shared","description":"","type":"application\/vnd.google-apps.folder","parents":["1Y6mpNio7gUm2mtZwxVVLBVA4KDSu-ct5"]}],"is_lost":false},"10368846457677789243":{"id":"10368846457677789243","name":"","email":"","photo":"https:\/\/lh3.googleusercontent.com\/a\/ACg8ocKTpx93BAMS8KY-uaYZgz1gysP5ncUf8tHgtrzFFLlfKMsWomdM=s64","storage":{"usage":"15957944391","limit":"16106127360"},"lost":false,"root_id":"0AFtQsgurbu6UUk9PVA","user_id":["admin"],"is_specific_folders":true}},"account":{"id":"13745142253359366437","name":"AMARNATHREDDY .M","email":"info@therightmentor.com","photo":"https:\/\/lh3.googleusercontent.com\/a\/ACg8ocJFDO1PJ52Pt6nlASXDZ7GcBNKJFGdzYwS-P8oybSgFRgl95g=s64","storage":{"usage":"5289238677","limit":"32212254720"},"lost":false,"root_id":"0AB4OhBWnqYIuUk9PVA","user_id":["admin"],"is_specific_folders":true,"specific_folders":[{"id":"1kLT5QgtzlZTB4khehCrbNGxuudfRGyzi","accountId":"13745142253359366437","name":"My Folder","iconLink":"https:\/\/drive-thirdparty.googleusercontent.com\/16\/type\/application\/vnd.google-apps.folder","description":"","type":"application\/vnd.google-apps.folder","parents":["root"]},{"id":"1CayX4rIYQHa3s5MhnnBafPGGl72fEwpE","accountId":"13745142253359366437","name":"TRM Quizzer","iconLink":"https:\/\/drive-thirdparty.googleusercontent.com\/16\/type\/application\/vnd.google-apps.folder+43+shared","description":"","type":"application\/vnd.google-apps.folder","parents":["1Y6mpNio7gUm2mtZwxVVLBVA4KDSu-ct5"]},{"id":"1JZC1av4JbIaPGqA5dZ8UZw0xHAGWL58K","accountId":"13745142253359366437","name":"CBSE6 Math","iconLink":"https:\/\/drive-thirdparty.googleusercontent.com\/16\/type\/application\/vnd.google-apps.folder+shared","description":"","type":"application\/vnd.google-apps.folder","parents":["1Y6mpNio7gUm2mtZwxVVLBVA4KDSu-ct5"]},{"id":"1fcefZOxAkDy_sixjQZuC3S1L1vF61_pM","accountId":"13745142253359366437","name":"EXEMPLAR Solutions","iconLink":"https:\/\/drive-thirdparty.googleusercontent.com\/16\/type\/application\/vnd.google-apps.folder+shared","description":"","type":"application\/vnd.google-apps.folder","parents":["1Y6mpNio7gUm2mtZwxVVLBVA4KDSu-ct5"]},{"id":"1CVKR_-Kzp_ek7_mtVkjFWiodMRfyR8oK","accountId":"13745142253359366437","name":"CBSE6 Science","iconLink":"https:\/\/drive-thirdparty.googleusercontent.com\/16\/type\/application\/vnd.google-apps.folder+shared","description":"","type":"application\/vnd.google-apps.folder","parents":["1Y6mpNio7gUm2mtZwxVVLBVA4KDSu-ct5"]},{"id":"1qcc336zuNnooTxxkws2pgEBA0pnpTibx","accountId":"13745142253359366437","name":"CBSE7 Math","iconLink":"https:\/\/drive-thirdparty.googleusercontent.com\/16\/type\/application\/vnd.google-apps.folder+shared","description":"","type":"application\/vnd.google-apps.folder","parents":["1Y6mpNio7gUm2mtZwxVVLBVA4KDSu-ct5"]},{"id":"15op-cldu17M4Gg8mPY8UikCbrBvkS8jR","accountId":"13745142253359366437","name":"CBSE7 Science","iconLink":"https:\/\/drive-thirdparty.googleusercontent.com\/16\/type\/application\/vnd.google-apps.folder+shared","description":"","type":"application\/vnd.google-apps.folder","parents":["1Y6mpNio7gUm2mtZwxVVLBVA4KDSu-ct5"]},{"id":"1P7OaA_9rN1fU-7sL8mfuGsK_vcfSGCT-","accountId":"13745142253359366437","name":"CBSE8 Math","iconLink":"https:\/\/drive-thirdparty.googleusercontent.com\/16\/type\/application\/vnd.google-apps.folder+shared","description":"","type":"application\/vnd.google-apps.folder","parents":["1Y6mpNio7gUm2mtZwxVVLBVA4KDSu-ct5"]},{"id":"1gV2vYSCjSpJs9i9Wpd_mDlJOJbGJq-Rp","accountId":"13745142253359366437","name":"CBSE8 Science","iconLink":"https:\/\/drive-thirdparty.googleusercontent.com\/16\/type\/application\/vnd.google-apps.folder+shared","description":"","type":"application\/vnd.google-apps.folder","parents":["1Y6mpNio7gUm2mtZwxVVLBVA4KDSu-ct5"]},{"id":"13vbs_GJwBN-rI00YbO0ig6y49kShR7Kb","accountId":"13745142253359366437","name":"CBSE9 Math","iconLink":"https:\/\/drive-thirdparty.googleusercontent.com\/16\/type\/application\/vnd.google-apps.folder+shared","description":"","type":"application\/vnd.google-apps.folder","parents":["1Y6mpNio7gUm2mtZwxVVLBVA4KDSu-ct5"]},{"id":"1U8MPm42rcZ7-_2Al7tC4wizgazbs28Mu","accountId":"13745142253359366437","name":"CBSE9 Science","iconLink":"https:\/\/drive-thirdparty.googleusercontent.com\/16\/type\/application\/vnd.google-apps.folder+shared","description":"","type":"application\/vnd.google-apps.folder","parents":["1Y6mpNio7gUm2mtZwxVVLBVA4KDSu-ct5"]},{"id":"1g7ltmcRLdt61huLeos_s6XZauUPqWQfG","accountId":"13745142253359366437","name":"CBSE10 Math","iconLink":"https:\/\/drive-thirdparty.googleusercontent.com\/16\/type\/application\/vnd.google-apps.folder+shared","description":"","type":"application\/vnd.google-apps.folder","parents":["1Y6mpNio7gUm2mtZwxVVLBVA4KDSu-ct5"]},{"id":"1TB0YUU1_tAjWEjVXEUiqvarJfyXmuxEW","accountId":"13745142253359366437","name":"CBSE10 Science","iconLink":"https:\/\/drive-thirdparty.googleusercontent.com\/16\/type\/application\/vnd.google-apps.folder+shared","description":"","type":"application\/vnd.google-apps.folder","parents":["1Y6mpNio7gUm2mtZwxVVLBVA4KDSu-ct5"]},{"id":"1n8ctzYDQZozZLRQ10O8t56FUnTzag5sr","accountId":"13745142253359366437","name":"TGT","iconLink":"https:\/\/drive-thirdparty.googleusercontent.com\/16\/type\/application\/vnd.google-apps.folder+shared","description":"","type":"application\/vnd.google-apps.folder","parents":["1Y6mpNio7gUm2mtZwxVVLBVA4KDSu-ct5"]},{"id":"1wDBJRJuQLEuWNlbAUuRySK9gyzyL9Iwl","accountId":"13745142253359366437","name":"Speed Notes","iconLink":"https:\/\/drive-thirdparty.googleusercontent.com\/16\/type\/application\/vnd.google-apps.folder+shared","description":"","type":"application\/vnd.google-apps.folder","parents":["1Y6mpNio7gUm2mtZwxVVLBVA4KDSu-ct5"]},{"id":"1jsNBaQob68FzrD-FwH4S6G0Ln5jnKLyc","accountId":"13745142253359366437","name":"MATHEMATICS","iconLink":"https:\/\/drive-thirdparty.googleusercontent.com\/16\/type\/application\/vnd.google-apps.folder+shared","description":"","type":"application\/vnd.google-apps.folder","parents":["1Y6mpNio7gUm2mtZwxVVLBVA4KDSu-ct5"]},{"id":"1XdwXrcFVhvzQd8T1eV_hQ3MA2_6D7Wmh","accountId":"13745142253359366437","name":"Full Notes","iconLink":"https:\/\/drive-thirdparty.googleusercontent.com\/16\/type\/application\/vnd.google-apps.folder+shared","description":"","type":"application\/vnd.google-apps.folder","parents":["1Y6mpNio7gUm2mtZwxVVLBVA4KDSu-ct5"]},{"id":"1Q3E5opGCGFxuZt4SG8u-mku0d2czA8FH","accountId":"13745142253359366437","name":"6,7,8 Summary PPT ","iconLink":"https:\/\/drive-thirdparty.googleusercontent.com\/16\/type\/application\/vnd.google-apps.folder+shared","description":"","type":"application\/vnd.google-apps.folder","parents":["1Y6mpNio7gUm2mtZwxVVLBVA4KDSu-ct5"]},{"id":"1YJhlseRfK5Gc_7jMG_-287SJndnMQB-3","accountId":"13745142253359366437","name":"E-Books","iconLink":"https:\/\/drive-thirdparty.googleusercontent.com\/16\/type\/application\/vnd.google-apps.folder+shared","description":"","type":"application\/vnd.google-apps.folder","parents":["1Y6mpNio7gUm2mtZwxVVLBVA4KDSu-ct5"]},{"id":"1SMY0yMeh5n_wXkk6OHjIkc4MweyZDKbm","accountId":"13745142253359366437","name":"CBSE Content Videos Purchased Content","iconLink":"https:\/\/drive-thirdparty.googleusercontent.com\/16\/type\/application\/vnd.google-apps.folder+shared","description":"","type":"application\/vnd.google-apps.folder","parents":["1Y6mpNio7gUm2mtZwxVVLBVA4KDSu-ct5"]},{"id":"1FJbmcb8ajxKVntaFGtyUZPRlIRvwvBKU","accountId":"13745142253359366437","name":"Chapter Maps","iconLink":"https:\/\/drive-thirdparty.googleusercontent.com\/16\/type\/application\/vnd.google-apps.folder+shared","description":"","type":"application\/vnd.google-apps.folder","parents":["1Y6mpNio7gUm2mtZwxVVLBVA4KDSu-ct5"]},{"id":"1smvx1y0YwTFRWPmNW5M0pgm3iSDXFmxo","accountId":"13745142253359366437","name":"Presentations","iconLink":"https:\/\/drive-thirdparty.googleusercontent.com\/16\/type\/application\/vnd.google-apps.folder+45+shared","description":"","type":"application\/vnd.google-apps.folder","parents":["1Y6mpNio7gUm2mtZwxVVLBVA4KDSu-ct5"]},{"id":"1i1VGOHFHXfUD3PCj09mVIIXsFPMczYdD","accountId":"13745142253359366437","name":"CBSE 10 SAMPLE PAPERS","iconLink":"https:\/\/drive-thirdparty.googleusercontent.com\/16\/type\/application\/vnd.google-apps.folder+shared","description":"","type":"application\/vnd.google-apps.folder","parents":["1Y6mpNio7gUm2mtZwxVVLBVA4KDSu-ct5"]},{"id":"1V_7HPklR8NkGdNNT6Xxrbd25nPFBKKen","accountId":"13745142253359366437","name":"CBSE Chapterwise ","iconLink":"https:\/\/drive-thirdparty.googleusercontent.com\/16\/type\/application\/vnd.google-apps.folder+shared","description":"","type":"application\/vnd.google-apps.folder","parents":["1Y6mpNio7gUm2mtZwxVVLBVA4KDSu-ct5"]},{"id":"1VJCho8qaVtwdhZNS_yWUGUXhMMFmTL8o","accountId":"13745142253359366437","name":"CBSE 9 Math Notes","iconLink":"https:\/\/drive-thirdparty.googleusercontent.com\/16\/type\/application\/vnd.google-apps.folder+shared","description":"","type":"application\/vnd.google-apps.folder","parents":["1Y6mpNio7gUm2mtZwxVVLBVA4KDSu-ct5"]},{"id":"14wFJFy8u5IvM1nSOWZuvALXp4jLMqYTU","accountId":"13745142253359366437","name":"TextBook Solutions","iconLink":"https:\/\/drive-thirdparty.googleusercontent.com\/16\/type\/application\/vnd.google-apps.folder+shared","description":"","type":"application\/vnd.google-apps.folder","parents":["1Y6mpNio7gUm2mtZwxVVLBVA4KDSu-ct5"]},{"id":"1EWS47uRgucSgRlu3pnsLU2TzvDCCCeXi","accountId":"13745142253359366437","name":"Question Bank","iconLink":"https:\/\/drive-thirdparty.googleusercontent.com\/16\/type\/application\/vnd.google-apps.folder+shared","description":"","type":"application\/vnd.google-apps.folder","parents":["1Y6mpNio7gUm2mtZwxVVLBVA4KDSu-ct5"]},{"id":"12h6wARC9zvf8yQlHaYa5WOFFy2xZjoVx","accountId":"13745142253359366437","name":"Lesson Plan","iconLink":"https:\/\/drive-thirdparty.googleusercontent.com\/16\/type\/application\/vnd.google-apps.folder+shared","description":"","type":"application\/vnd.google-apps.folder","parents":["1Y6mpNio7gUm2mtZwxVVLBVA4KDSu-ct5"]},{"id":"1bjUQ9xGoGDRTlp0XU2RvHA_HNKTxVl7z","accountId":"13745142253359366437","name":"CBSE Study Material","iconLink":"https:\/\/drive-thirdparty.googleusercontent.com\/16\/type\/application\/vnd.google-apps.folder+shared","description":"","type":"application\/vnd.google-apps.folder","parents":["1Y6mpNio7gUm2mtZwxVVLBVA4KDSu-ct5"]},{"id":"1L83k4A8p4uxijZ-A2Ukk0xo6C_TmVYI-","accountId":"13745142253359366437","name":"CBSE 10 Math Chatperwise Exam Question","iconLink":"https:\/\/drive-thirdparty.googleusercontent.com\/16\/type\/application\/vnd.google-apps.folder+shared","description":"","type":"application\/vnd.google-apps.folder","parents":["1Y6mpNio7gUm2mtZwxVVLBVA4KDSu-ct5"]},{"id":"1S001dHYbwtaK5vTeol6UAeu8k_8NTI7u","accountId":"13745142253359366437","name":"Amazing Science","iconLink":"https:\/\/drive-thirdparty.googleusercontent.com\/16\/type\/application\/vnd.google-apps.folder+shared","description":"","type":"application\/vnd.google-apps.folder","parents":["1Y6mpNio7gUm2mtZwxVVLBVA4KDSu-ct5"]},{"id":"1ibZAV06_psVDrXyAOFZoucHXTQGyfMME","accountId":"13745142253359366437","name":"Concept Maps","iconLink":"https:\/\/drive-thirdparty.googleusercontent.com\/16\/type\/application\/vnd.google-apps.folder+shared","description":"","type":"application\/vnd.google-apps.folder","parents":["1Y6mpNio7gUm2mtZwxVVLBVA4KDSu-ct5"]},{"id":"1I_J8iclBdhB3_vDZcGZWYPst7Gz6y1Vw","accountId":"13745142253359366437","name":"Learning Objectives","iconLink":"https:\/\/drive-thirdparty.googleusercontent.com\/16\/type\/application\/vnd.google-apps.folder+shared","description":"","type":"application\/vnd.google-apps.folder","parents":["1Y6mpNio7gUm2mtZwxVVLBVA4KDSu-ct5"]},{"id":"1Q5ZT14xs3oCV1ZxwGcud-Jc88SBZ78b5","accountId":"13745142253359366437","name":"Pre-requisies","iconLink":"https:\/\/drive-thirdparty.googleusercontent.com\/16\/type\/application\/vnd.google-apps.folder+shared","description":"","type":"application\/vnd.google-apps.folder","parents":["1Y6mpNio7gUm2mtZwxVVLBVA4KDSu-ct5"]}],"is_lost":false}}\"\n                     style=\"--module-width: 100%; --module-height: ;\"\n                ><\/div>\n                \n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Statistics\"><\/span><strong>Statistics<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<div class=\"wp-block-group has-medium-font-size is-layout-flow wp-block-group-is-layout-flow\">\n<h1 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Statistics_is_the_study_of_collection_organization_analysis_and_interpretation_of_data\"><\/span>Statistics is the study of collection, organization, analysis and interpretation of data.<span class=\"ez-toc-section-end\"><\/span><\/h1>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Data\"><\/span><strong>Data<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<h1 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Data_is_a_distinct_piece_of_information_in_the_form_of_fact_or_figures_collected_or_represented_for_any_specific_purpose_The_word_data_is_derived_from_the_Latin_word_Datum\"><\/span>Data is a distinct piece of information in the form of fact or figures collected or represented for any specific purpose. The word data is derived from the Latin word <strong>Datum<\/strong>.<span class=\"ez-toc-section-end\"><\/span><\/h1>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Collection_of_Data\"><\/span><strong>Collection of Data<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<h1 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"In_general_data_is_of_two_types_They_are\"><\/span>In general, data is of two types. They are:<span class=\"ez-toc-section-end\"><\/span><\/h1>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Primary Data<\/li>\n\n\n\n<li>Secondary Data<\/li>\n<\/ul>\n\n\n\n<h1 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Primary_Data\"><\/span><strong>Primary Data<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h1>\n\n\n\n<h1 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Primary_data_is_the_data_collected_from_any_firsthand_experience_for_an_explicit_use_or_purpose\"><\/span>Primary data is the data collected from any firsthand experience for an explicit use or purpose.<span class=\"ez-toc-section-end\"><\/span><\/h1>\n\n\n\n<h1 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Secondary_data\"><\/span><strong>Secondary data<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h1>\n\n\n\n<h1 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Secondary_data_is_the_data_collected_by_any_third_party_for_a_different_purpose_other_than_the_user\"><\/span>Secondary data is the data collected by any third party for a different purpose other than the user.<span class=\"ez-toc-section-end\"><\/span><\/h1>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Presentation_of_Data\"><\/span><strong>Presentation of Data<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<h1 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"After_collecting_data_it_is_important_to_present_it_meaningfully_There_are_many_ways_to_present_data\"><\/span>After collecting data it is important to present it meaningfully. There are many ways to present data.<span class=\"ez-toc-section-end\"><\/span><\/h1>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"1_Raw_Data_or_Ungrouped_Data\"><\/span><strong>1. Raw Data or Ungrouped Data<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<h1 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"a_Raw_Data_or_Ungrouped_Data_is_the_collected_data_without_any_change_in_its_form\"><\/span>a. Raw Data or Ungrouped Data is the collected data without any change in its form.<span class=\"ez-toc-section-end\"><\/span><\/h1>\n\n\n\n<h1 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Example\"><\/span><strong>Example<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h1>\n\n\n\n<h1 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"The_marks_obtained_by_10_students_in_a_Mathematics_test_are\"><\/span>The marks obtained by 10 students in a Mathematics test are:&nbsp;<span class=\"ez-toc-section-end\"><\/span><\/h1>\n\n\n\n<h1 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"_55_36_95_73_60_42_25_78_75_62\"><\/span>&nbsp;55 <strong>36 95<\/strong> 73 60 42 25 78 75 62<span class=\"ez-toc-section-end\"><\/span><\/h1>\n\n\n\n<h1 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Range\"><\/span><strong>Range<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h1>\n\n\n\n<h1 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Range_is_the_difference_between_the_highest_and_the_lowest_values_of_data\"><\/span>Range is the difference between the highest and the lowest values of data.<span class=\"ez-toc-section-end\"><\/span><\/h1>\n\n\n\n<p>For Above data: <strong>Range = 95 &#8211; 36 = 59<\/strong><\/p>\n\n\n\n<h1 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"b_Frequency_Distribution_Table_%E2%80%93_Frequency_Distribution_Table_is_the_data_of_a_large_number_of_items_converted_into_tabular_form\"><\/span>b. <strong>Frequency Distribution Table <\/strong>&#8211; Frequency Distribution Table is the data of a large number of items converted into tabular form.<span class=\"ez-toc-section-end\"><\/span><\/h1>\n\n\n\n<h1 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Frequency_is_the_number_of_times_the_item_comes_to_the_table\"><\/span><strong>Frequency is the number of times the item comes to the table.<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h1>\n\n\n\n<h3 class=\"wp-block-heading\"><\/h3>\n\n\n\n<h3 class=\"wp-block-heading\"><\/h3>\n\n\n\n<h3 class=\"wp-block-heading\"><\/h3>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"2_Grouped_Data\"><\/span><strong>2. Grouped Data<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<h1 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"To_present_the_very_large_number_of_items_in_the_data_we_use_a_grouped_distribution_table\"><\/span>To present the very large number of items in the data we use a grouped distribution table.<span class=\"ez-toc-section-end\"><\/span><\/h1>\n\n\n\n<h1 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Grouped_Distribution_Table\"><\/span><strong>Grouped Distribution Table<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h1>\n\n\n\n<h1 class=\"wp-block-heading\"><img decoding=\"async\" alt=\"Grouped distribution table\" src=\"https:\/\/lh6.googleusercontent.com\/PzdHDclmZkL110xLgSEmBkz9Q4uqpLsca9YG96BTafevUhck4Gy9Hj4c73MyGd-vuib4rbSa2HmGqlaiWUpKnaN51UAagVmIwwZtypAQ_o55j1201HXLbf9v2ZTJSVzsmDzDwULsuRQoBa97CyAAWg\" width=\"292\" height=\"239\"><\/h1>\n\n\n\n<h1 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"a_Class_Interval_%E2%80%93_The_group_used_to_classify_the_data_is_called_the_class_interval_ie_20_%E2%80%93_30_30_%E2%80%93_40\"><\/span>a. <strong>Class Interval<\/strong> \u2013 The group used to classify the data is called the <strong>class interval<\/strong> i.e. 20 \u2013 30, 30 \u2013 40.<span class=\"ez-toc-section-end\"><\/span><\/h1>\n\n\n\n<h1 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"b_Upper_Limit_%E2%80%93_In_each_class_interval_the_greatest_number_is_the_upper-class_limit\"><\/span>b. <strong>Upper Limit<\/strong> &#8211; In each class interval, the greatest number is the <strong>upper-class limit<\/strong>.<span class=\"ez-toc-section-end\"><\/span><\/h1>\n\n\n\n<h1 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"c_Lower_Limit_%E2%80%93_In_each_class_interval_the_smallest_number_is_the_lower_class_limit\"><\/span>c. <strong>Lower Limit<\/strong> \u2013 In each class interval, the smallest number is the lower class limit.<span class=\"ez-toc-section-end\"><\/span><\/h1>\n\n\n\n<h1 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"d_Class_Size_%E2%80%93_It_is_the_difference_between_the_upper_limit_and_the_lower_limit_ie_10\"><\/span>d. <strong>Class Size<\/strong> &#8211; It is the difference between the upper limit and the lower limit i.e. 10.<span class=\"ez-toc-section-end\"><\/span><\/h1>\n\n\n\n<h1 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Class_Size_Upper_Limit_%E2%80%93_Lower_Limit\"><\/span><strong>Class Size = <\/strong>Upper Limit &#8211; Lower Limit<span class=\"ez-toc-section-end\"><\/span><\/h1>\n\n\n\n<h1 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"e_Class_Mark_%E2%80%93_The_midpoint_of_each_class_interval_is_the_class_mark\"><\/span>e. <strong>Class Mark <\/strong>&nbsp;\u2013 The midpoint of each class interval is the class mark.<span class=\"ez-toc-section-end\"><\/span><\/h1>\n\n\n\n<h1 class=\"wp-block-heading\"><img decoding=\"async\" alt=\"Class Mark\" src=\"https:\/\/lh5.googleusercontent.com\/aW94cNLSDmjYvPB30irqtO7uVPOvXim9Ht5Xi8fziH12WAsID6xUObfTSg66syQrCk8F9rICC6dAIGHzc6OMFMrpmNuD1y3HPT4N8Lu1dN6PMPNEz6jMmX2se6wwiePhyWiDMBrkq5C9RP65QAiCRw\" width=\"220\" height=\"39\"><\/h1>\n\n\n\n<h1 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Grouped_data_could_be_of_two_types_as_below\"><\/span><strong>Grouped data could be of two types as below:-<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h1>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Inclusive or discontinuous Frequency Distribution.<\/li>\n\n\n\n<li>Exclusive or continuous Frequency Distribution<\/li>\n<\/ul>\n\n\n\n<h1 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Inclusive_or_discontinuous_Frequency_Distribution_%E2%80%93_If_the_upper_limit_of_a_class_is_different_from_the_lower_limit_of_its_next_class_then_it_is_said_to_be_an_Inclusive_or_discontinuous_Frequency_Distribution\"><\/span><strong>Inclusive or discontinuous Frequency Distribution<\/strong> \u2013 If the upper limit of a class is different from the lower limit of its next class then it is said to be an Inclusive or discontinuous Frequency Distribution.<span class=\"ez-toc-section-end\"><\/span><\/h1>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Example-2\"><\/span><strong>Example<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<h1 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Draw_the_histogram_of_the_following_frequency_distribution\"><\/span>Draw the histogram of the following frequency distribution.<span class=\"ez-toc-section-end\"><\/span><\/h1>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td><strong>Daily earnings (in Rs)<\/strong><\/td><td><strong>700 \u2013 749<\/strong><\/td><td><strong>750 \u2013 799<\/strong><\/td><td><strong>800 \u2013 849<\/strong><\/td><td><strong>850 \u2013 899<\/strong><\/td><td><strong>900 \u2013 949<\/strong><\/td><td><strong>950 \u2013 999<\/strong><\/td><\/tr><tr><td><strong>No. of stores<\/strong><\/td><td>6<\/td><td>9<\/td><td>2<\/td><td>7<\/td><td>11<\/td><td>5<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\"><\/h3>\n\n\n\n<h1 class=\"wp-block-heading\"><\/h1>\n\n\n\n<h1 class=\"wp-block-heading\"><\/h1>\n\n\n\n<h1 class=\"wp-block-heading\"><\/h1>\n\n\n\n<h1 class=\"wp-block-heading\"><\/h1>\n\n\n\n<h1 class=\"wp-block-heading\"><\/h1>\n\n\n\n<h1 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Exclusive_or_continuous_Frequency_Distribution_%E2%80%93_If_the_upper_limit_of_a_class_is_the_same_as_the_lower_limit_of_its_next_class_then_it_is_said_to_be_exclusive_or_continuous_Frequency_Distribution\"><\/span><strong>Exclusive or continuous Frequency Distribution<\/strong> \u2013 If the upper limit of a class is the same as the lower limit of its next class then it is said to be exclusive or continuous Frequency Distribution<span class=\"ez-toc-section-end\"><\/span><\/h1>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Example-3\"><\/span><strong>Example<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<h1 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Draw_the_histogram_of_the_following_frequency_distribution-2\"><\/span>Draw the histogram of the following frequency distribution.<span class=\"ez-toc-section-end\"><\/span><\/h1>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td><strong>Daily earnings (in Rs)<\/strong><\/td><td><strong>700 \u2013 750<\/strong><\/td><td><strong>750 \u2013 800<\/strong><\/td><td><strong>800 \u2013 850<\/strong><\/td><td><strong>850 \u2013 900<\/strong><\/td><td><strong>900 \u2013 950<\/strong><\/td><td><strong>950 \u2013 1000<\/strong><\/td><\/tr><tr><td><strong>No. of stores<\/strong><\/td><td>6<\/td><td>9<\/td><td>2<\/td><td>7<\/td><td>11<\/td><td>5<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\"><\/h3>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Graphical_Representation_of_Data\"><\/span><strong>Graphical Representation of Data<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<h1 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Since_a_picture_represents_better_than_a_thousand_words_The_data_is_presented_graphically_Some_of_the_methods_of_representing_the_data_graphically_are\"><\/span>Since a picture represents better than a thousand words, The data is presented graphically. Some of the methods of representing the data graphically are:<span class=\"ez-toc-section-end\"><\/span><\/h1>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"1_Bar_Graph\"><\/span><strong>1. Bar Graph<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"2_Histogram\"><\/span><strong>2. Histogram<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"3_Frequency_Polygon\"><\/span><strong>3. Frequency Polygon<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<h3 class=\"wp-block-heading\"><\/h3>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"1_Bar_Graph-2\"><\/span><strong>1. Bar Graph<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<h1 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"It_is_the_easiest_way_to_represent_the_data_in_the_form_of_rectangular_bars_so_it_is_called_Bar_graph\"><\/span>It is the easiest way to represent the data in the form of rectangular bars so it is called <strong>Bar graph<\/strong>.<span class=\"ez-toc-section-end\"><\/span><\/h1>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The thickness of each bar should be the same.<\/li>\n\n\n\n<li>The space between the bars should also be the same.<\/li>\n\n\n\n<li>The height of the bar should be according to the numerical data to be represented.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Example-4\"><\/span><strong>Example<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<h1 class=\"wp-block-heading\"><img decoding=\"async\" alt=\"Bar Graph\" src=\"https:\/\/lh6.googleusercontent.com\/UbHy5BeDxhhvY7ZVQh78BUWCD9sqeH32mUCS3B_WbwTTlOOanchEz172EgbO8a6jP-8Wu1DgNgKyziZMTHpBHPKT4AOFENi57PKF71XgtpmYAJNZn3sg-bnq9bOkVFG_r00SXXCvjEYx-qUCq0M-vA\" width=\"576\" height=\"337\"><\/h1>\n\n\n\n<h1 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Represent_the_average_monthly_rainfall_of_Nepal_for_the_first_six_months_in_the_year_2014\"><\/span>Represent the average monthly rainfall of Nepal for the first six months in the year 2014.<span class=\"ez-toc-section-end\"><\/span><\/h1>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td><strong>Month<\/strong><\/td><td><strong>Jan<\/strong><\/td><td><strong>Feb<\/strong><\/td><td><strong>Mar<\/strong><\/td><td><strong>Apr<\/strong><\/td><td><strong>May<\/strong><\/td><td><strong>Jun<\/strong><\/td><\/tr><tr><td><strong>Average rainfall<\/strong><\/td><td>45<\/td><td>65<\/td><td>40<\/td><td>60<\/td><td>75<\/td><td>30<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Solution\"><\/span><strong>Solution<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>On the x-axis mark the name of the months.<\/li>\n\n\n\n<li>On the y-axis mark the class interval which we have chosen.<\/li>\n\n\n\n<li>Then mark the average rainfall respective to the name of the month by the vertical bars.<\/li>\n\n\n\n<li>The bars could be of any width but should be the same.<\/li>\n\n\n\n<li>This is the required bar graph.<\/li>\n<\/ul>\n\n\n\n<h1 class=\"wp-block-heading\"><img decoding=\"async\" alt=\"Bar Graph\" src=\"https:\/\/lh6.googleusercontent.com\/UbHy5BeDxhhvY7ZVQh78BUWCD9sqeH32mUCS3B_WbwTTlOOanchEz172EgbO8a6jP-8Wu1DgNgKyziZMTHpBHPKT4AOFENi57PKF71XgtpmYAJNZn3sg-bnq9bOkVFG_r00SXXCvjEYx-qUCq0M-vA\" width=\"594\" height=\"347\"><\/h1>\n\n\n\n<h3 class=\"wp-block-heading\"><\/h3>\n\n\n\n<h3 class=\"wp-block-heading\"><\/h3>\n\n\n\n<h3 class=\"wp-block-heading\"><\/h3>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"2_Histogram-2\"><\/span><strong>2. Histogram<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<h1 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"It_is_similar_to_Bar_graph_but_it_is_used_in_case_of_a_continuous_class_interval\"><\/span>It is similar to Bar graph, but it is used in case of a continuous class interval.<span class=\"ez-toc-section-end\"><\/span><\/h1>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The class intervals are to be taken along an x-axis.<\/li>\n\n\n\n<li>The height represents the frequencies of the respective class intervals.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Example-5\"><\/span><strong>Example<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<h1 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Draw_the_histogram_of_the_following_frequency_distribution-3\"><\/span>Draw the histogram of the following frequency distribution.<span class=\"ez-toc-section-end\"><\/span><\/h1>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td><strong>Daily earnings (in Rs)<\/strong><\/td><td><strong>700 \u2013 750<\/strong><\/td><td><strong>750 \u2013 800<\/strong><\/td><td><strong>800 \u2013 850<\/strong><\/td><td><strong>850 \u2013 900<\/strong><\/td><td><strong>900 \u2013 950<\/strong><\/td><td><strong>950 \u2013 1000<\/strong><\/td><\/tr><tr><td><strong>No. of stores<\/strong><\/td><td>6<\/td><td>9<\/td><td>2<\/td><td>7<\/td><td>11<\/td><td>5<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Solution-2\"><\/span><strong>Solution:<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Mark the daily earnings on the x-axis.<\/li>\n\n\n\n<li>Mark the no. of stores on the y-axis.<\/li>\n\n\n\n<li>As the scale is starting from 700 so we will mark the zigzag to show the break.<\/li>\n\n\n\n<li>Mark the daily earnings through the vertical bars.<\/li>\n<\/ul>\n\n\n\n<h1 class=\"wp-block-heading\"><img decoding=\"async\" alt=\"Histogram\" src=\"https:\/\/lh5.googleusercontent.com\/swuHBc7VoUH22FClnuvC14CgJFNbitoPGCm6JJgIZNHLFRX8__SNVVRvIkhuiE2ZVkxGyyLwhZ7PaaOYWbUpvNGC_yiL9v10axE0WpMvWPHZJa9SEPDnbvXcKM2vlhHtQxMK3FGODcEhhJMt0lteSg\" width=\"504\" height=\"318\"><\/h1>\n\n\n\n<h3 class=\"wp-block-heading\"><\/h3>\n\n\n\n<h3 class=\"wp-block-heading\"><\/h3>\n\n\n\n<h3 class=\"wp-block-heading\"><\/h3>\n\n\n\n<h3 class=\"wp-block-heading\"><\/h3>\n\n\n\n<h3 class=\"wp-block-heading\"><\/h3>\n\n\n\n<h3 class=\"wp-block-heading\"><\/h3>\n\n\n\n<h3 class=\"wp-block-heading\"><\/h3>\n\n\n\n<h3 class=\"wp-block-heading\"><\/h3>\n\n\n\n<h3 class=\"wp-block-heading\"><\/h3>\n\n\n\n<h3 class=\"wp-block-heading\"><\/h3>\n\n\n\n<h3 class=\"wp-block-heading\"><\/h3>\n\n\n\n<h3 class=\"wp-block-heading\"><\/h3>\n\n\n\n<h3 class=\"wp-block-heading\"><\/h3>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"3_Frequency_Polygon-2\"><\/span><strong>3. Frequency Polygon<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<h1 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Procedure_to_draw_the_frequency_polygon\"><\/span><strong>Procedure to draw the frequency polygon<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h1>\n\n\n\n<ul class=\"wp-block-list\">\n<li>First, we need to draw a histogram.<\/li>\n\n\n\n<li>Then join the midpoint of the top of the bars to a line segment and the figure so obtained is the required frequency polygon.<\/li>\n\n\n\n<li>The midpoint of the first bar is to be joined with the midpoint of the imaginary interval of the x-axis<\/li>\n\n\n\n<li>The midpoint of the last bar is to be joined with the midpoint of the next interval of the x-axis.&nbsp;<\/li>\n<\/ul>\n\n\n\n<h1 class=\"wp-block-heading\"><img decoding=\"async\" alt=\"Polygon\" src=\"https:\/\/lh5.googleusercontent.com\/97L9igMqk1d0rPPhZJ_cGa6tjWjkkxmCI6DXc-09A8QKAljPhelv16Vmco63Xn5ImG9I56W2BOQEbUmfVy2y3pdY-seNuoidRvRril9xcueoJ4ELerdpBwk9KV4FFubeaBSRjsHaOyB0r2VjFldJaQ\" width=\"463\" height=\"287\"><\/h1>\n\n\n\n<h1 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"If_we_need_to_draw_the_frequency_polygon_without_drawing_the_histogram_then_first_we_need_to_calculate_the_class_mark_of_each_interval_and_these_points_will_make_the_frequency_polygon\"><\/span>If we need to draw the frequency polygon without drawing the histogram then first we need to calculate the class mark of each interval and these points will make the frequency polygon.<strong><\/strong><span class=\"ez-toc-section-end\"><\/span><\/h1>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Example-6\"><\/span><strong>Example<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<h1 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Draw_the_frequency_polygon_of_a_city_in_which_the_following_weekly_observations_were_made_in_a_study_on_the_cost_of_living_index_without_histogram\"><\/span>Draw the frequency polygon of a city in which the following weekly observations were made in a study on the cost of living index without histogram.<span class=\"ez-toc-section-end\"><\/span><\/h1>\n\n\n\n<h1 class=\"wp-block-heading\"><img decoding=\"async\" alt=\"weekly observations\" src=\"https:\/\/lh3.googleusercontent.com\/ozIg_v9I0PtCZYb_CmkybZGzKfR8BpFd7VVHe764i6Zi5wBLItCtiuyiBwLjhK1GNrbAw2J0qSMsv9KT5hXg9dPwnMd-BMSaXWUXZcYUHI3RVA14e0RS1MZKaIMKX1mwjDkpCH_1b0ET6FvgiBdd7Q\" width=\"306\" height=\"157\"><\/h1>\n\n\n\n<h1 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Step_1_First_of_all_we_need_to_calculate_the_class_mark_of_each_class_interval\"><\/span><strong>Step 1:<\/strong> First of all we need to calculate the class mark of each class interval.<span class=\"ez-toc-section-end\"><\/span><\/h1>\n\n\n\n<h1 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Step_2_Take_the_suitable_scale_and_represent_the_class_marks_on_the_x-axis\"><\/span><strong>Step 2:<\/strong> Take the suitable scale and represent the class marks on the x-axis.<span class=\"ez-toc-section-end\"><\/span><\/h1>\n\n\n\n<h1 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Step_3_Take_the_suitable_scale_and_represent_the_frequency_distribution_on_the_y-axis\"><\/span><strong>Step 3:<\/strong> Take the suitable scale and represent the frequency distribution on the y-axis.<span class=\"ez-toc-section-end\"><\/span><\/h1>\n\n\n\n<h1 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Step_4_To_complete_the_frequency_polygon_we_will_join_it_with_the_x-axis_before_the_first_class_and_after_the_last_interval\"><\/span><strong>Step 4:<\/strong> To complete the frequency polygon we will join it with the x-axis before the first class and after the last interval.<span class=\"ez-toc-section-end\"><\/span><\/h1>\n\n\n\n<h1 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Step_5_Now_plot_the_respective_points_and_join_to_make_the_frequency_polygon\"><\/span><strong>Step 5:<\/strong> Now plot the respective points and join to make the frequency polygon.<span class=\"ez-toc-section-end\"><\/span><\/h1>\n\n\n\n<h1 class=\"wp-block-heading\"><img decoding=\"async\" alt=\"Polygon\" src=\"https:\/\/lh6.googleusercontent.com\/RCoG3LUurq6Au6mtmTIGkavzZuuk_Rp2oBwy6-i1ILkO4BCdHtWCciTrodx5MCtJE8Gj_4DRagXJSaNyQQ0yDGb4cfo9MNjTXi_yfdE7bTsGE6sjICD0rZzLgq1KQw9FWY1CHfDsysfM8KF6kzHIUg\" width=\"206\" height=\"161\"><\/h1>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Measures_of_Central_Tendency\"><\/span><strong>Measures of Central Tendency<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<h1 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"To_make_all_the_study_of_data_useful_we_need_to_use_measures_of_central_tendencies_Some_of_the_tendencies_are\"><\/span>To make all the study of data useful, we need to use measures of central tendencies. Some of the tendencies are<span class=\"ez-toc-section-end\"><\/span><\/h1>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"1_Mean\"><\/span>1. Mean<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"2_Median\"><\/span>2. Median<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"3_Mode\"><\/span>3. Mode<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"1_Mean_Average\"><\/span><strong>1. Mean (Average)<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<h1 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"The_mean_is_the_average_of_the_number_of_observations_It_is_calculated_by_dividing_the_sum_of_the_values_of_the_observations_by_the_total_number_of_observations\"><\/span>The mean is the average of the number of observations. It is calculated by dividing the sum of the values of the observations by the total number of observations.<span class=\"ez-toc-section-end\"><\/span><\/h1>\n\n\n\n<h1 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"It_is_represented_by_x_bar_or\"><\/span>It is represented by x bar or<img decoding=\"async\" src=\"https:\/\/lh4.googleusercontent.com\/GTo6CuBE0OtX3_qsf9L_an5VOI8ecqgyrScFwiNNEc1-48hnyAQQ67-vvtSYlOMLLIU_wEOJZ5yfUZdwCAERUwFwqrSC62CMo6rKV8CzrmVyvIKMf2LuMD9m9qXsOkzU8BVTrRsCY3N4vSeOHL6gYw\" width=\"18\" height=\"24\">.<span class=\"ez-toc-section-end\"><\/span><\/h1>\n\n\n\n<h1 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"The_meanof_n_values_x1_x2_x3_%E2%80%A6%E2%80%A6_xn_is_given_by\"><\/span>The mean<img decoding=\"async\" src=\"https:\/\/lh6.googleusercontent.com\/taAb8Ino58muJYbHf55sWNMCqsqreNmeDAZvQbsQOr8Y37bheRz_RrO-C7_L8m6QdRnmFmGUNXCv2kgb0Wn_zaNzAkRwlqIMSPfi1gYOTfkBn_f71P5DaLaSHkkrkWNusTxj4hXb8fDdK3TAA5wk5A\" width=\"18\" height=\"24\">of n values x1, x2, x3, &#8230;&#8230; xn is given by<span class=\"ez-toc-section-end\"><\/span><\/h1>\n\n\n\n<h1 class=\"wp-block-heading\"><img decoding=\"async\" alt=\"Mean\" src=\"https:\/\/lh5.googleusercontent.com\/iOGAuZ0q8In4CAlpTblrrcEwCw9lqA0bKgVAVEqud8QQmnVt2FmvGwvskhk8jVGTj6fvgnJvIWmeRiwq-OrdmjIhWLbfZ7XBDegOB8pqSPL9Np1t2SLC3cz4Q-4Nu1H904ZqjcmHE_CbaPRqC1jDsA\" width=\"157\" height=\"54\"><\/h1>\n\n\n\n<h3 class=\"wp-block-heading\"><\/h3>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Mean_of_Grouped_Data_Without_Class_Interval\"><\/span><strong>Mean of Grouped Data (Without Class Interval)<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<h1 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"If_the_data_is_organized_in_such_a_way_that_the_frequency_is_given_but_there_is_no_class_interval_then_we_can_calculate_the_mean_by\"><\/span>If the data is organized in such a way that the frequency is given but there is no class interval then we can calculate the mean by<img decoding=\"async\" alt=\"Mean of Grouped Data\" src=\"https:\/\/lh5.googleusercontent.com\/jn8ipqjXVcCvIcdZWWMzdbSwAwCKQ_QLInimE4gT-CesKYkHp3k3pzRdk-bQXur67Ltvq00j9XFQGZ5saHAP5rI0DON9wtgZfBy-0pTT9WYVyqqBMLJ-iNN6J_snfzZFaQ1bPExNyiWkWqfhCK2YEg\" width=\"223\" height=\"61\"><span class=\"ez-toc-section-end\"><\/span><\/h1>\n\n\n\n<h1 class=\"wp-block-heading\"><img decoding=\"async\" src=\"https:\/\/lh4.googleusercontent.com\/E2U0GXvtO8PIcRixa6omnGdP1zTknbm3hVxccjErESdMIej5_kqNkXPvBdlyw3ua5xSGScFalIeZ08FufYbyRREmJtl95QAiV727nfa0IUgxJmKBaTW6hQUdCFOb3Kho1NLUClV5_MhfDJiuW9dZKA\" width=\"94\" height=\"140\"><\/h1>\n\n\n\n<h1 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"where_x1_x2_x3%E2%80%A6%E2%80%A6_xn_are_the_observations\"><\/span>where, x1, x2, x3,&#8230;&#8230; xn are the <strong>observations<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h1>\n\n\n\n<h1 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"f1_f2_f3_%E2%80%A6%E2%80%A6_fn_are_the_respective_frequencies_of_the_given_observations\"><\/span>f1, f2, f3, &#8230;&#8230; fn are the respective <strong>frequencies<\/strong> of the given observations.<span class=\"ez-toc-section-end\"><\/span><\/h1>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Example-7\"><\/span><strong>Example<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<h1 class=\"wp-block-heading\"><img decoding=\"async\" alt=\"Grouped population mean\" src=\"https:\/\/lh5.googleusercontent.com\/GglMdS8oY-DnTUO7T8K1JNkhxfy1J8c63XAwOOktL0jnyIEJQ9ECEtxUHYbLD4oBVBS-6hLYYKUoCyDUll00kOori4VoBCRR4DL8hQQXdWziAkN4iXBY8uhNMxDv6Jn7hfFgevDBVXg9t7jWBWPT0Q\" width=\"400\" height=\"285\"><\/h1>\n\n\n\n<h1 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Here_x1_x2_x3_x4_and_x5_are_20_40_60_80100_respectively\"><\/span>Here, x1, x2, x3, x4, and x5 are 20, 40, 60, 80,100 respectively.<span class=\"ez-toc-section-end\"><\/span><\/h1>\n\n\n\n<h1 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"and_f1_f2_f3_f4_f5_are_40_60_30_50_20_respectively\"><\/span>and f1 , f2 , f3 , f4, f5 are 40, 60, 30, 50, 20 respectively.<span class=\"ez-toc-section-end\"><\/span><\/h1>\n\n\n\n<h1 class=\"wp-block-heading\"><img decoding=\"async\" alt=\"means\" src=\"https:\/\/lh5.googleusercontent.com\/OLSx443Ob9EewR_5rzLoch14XoRZXBLsp2W3KU5dH3EIU4JxB75Gix8Xu0m8260NsgtWri47Ke-ohzom3hK_627c4QTawIJPhgKxuUGYdZd1uMI14BMTyheDGKzj1gnemZ_muWw886s7b0CyFbUfmw\" width=\"220\" height=\"120\"><\/h1>\n\n\n\n<h3 class=\"wp-block-heading\"><\/h3>\n\n\n\n<h3 class=\"wp-block-heading\"><\/h3>\n\n\n\n<h3 class=\"wp-block-heading\"><\/h3>\n\n\n\n<h3 class=\"wp-block-heading\"><\/h3>\n\n\n\n<h3 class=\"wp-block-heading\"><\/h3>\n\n\n\n<h3 class=\"wp-block-heading\"><\/h3>\n\n\n\n<h3 class=\"wp-block-heading\"><\/h3>\n\n\n\n<h3 class=\"wp-block-heading\"><\/h3>\n\n\n\n<h3 class=\"wp-block-heading\"><\/h3>\n\n\n\n<h3 class=\"wp-block-heading\"><\/h3>\n\n\n\n<h3 class=\"wp-block-heading\"><\/h3>\n\n\n\n<h3 class=\"wp-block-heading\"><\/h3>\n\n\n\n<h3 class=\"wp-block-heading\"><\/h3>\n\n\n\n<h3 class=\"wp-block-heading\"><\/h3>\n\n\n\n<h3 class=\"wp-block-heading\"><\/h3>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"2_Median-2\"><\/span><strong>2. Median<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<h1 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"The_median_is_the_middle_value_of_the_given_number_of_the_observation_which_divides_into_exactly_two_parts\"><\/span>The median is the middle value of the given number of the observation which divides into exactly two parts.<span class=\"ez-toc-section-end\"><\/span><\/h1>\n\n\n\n<h1 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"For_median_of_ungrouped_data_we_arrange_it_in_ascending_order_and_then_calculated_as_follows\"><\/span>For median of ungrouped data, we arrange it in ascending order and then calculated as follows<span class=\"ez-toc-section-end\"><\/span><\/h1>\n\n\n\n<h1 class=\"wp-block-heading\"><img decoding=\"async\" alt=\"Median\" src=\"https:\/\/lh5.googleusercontent.com\/CrdThcSweRvA9eSmyYXcNr09j5HhHNXkDkRXHADAjxQpZtTxA_vBYnu-BoxDTnIW3rChATb29-KZpYCMQDzJOxBOrrv2JWlPbEo3zx5-QNL2nuW4Qw-_NrMmhHKeJoOuMKr7EHgrd4R0b9qA3uLQFg\" width=\"456\" height=\"348\"><\/h1>\n\n\n\n<ul class=\"wp-block-list\">\n<li>If the number of the observations is odd then the median will be<img decoding=\"async\" src=\"https:\/\/lh3.googleusercontent.com\/LvDfOZjWLKtozpEyOB0DvupFY73JWxwhxR7jxGFhHYoqShLHyEbT3Wf4_AvFUL7zcOgcm3Ll8TW-cbun0XMZnsoVoiAjwTSGJ_CK8tEqyZBa2BfYtKw-yTIplWtLT6FhtOl-ze1ftcble5cQKImZ5Q\" width=\"77\" height=\"59\"> Term<\/li>\n\n\n\n<li>As in the above figure the no. of observations is 7 i.e. odd, so the median will be<img decoding=\"async\" src=\"https:\/\/lh4.googleusercontent.com\/8rPSSYHLhGt1YXigGEFpSFXkFA1TR1TzDhwj2B_wgc1-8jIMT0QhVSkNdEHh-zLblpFH6bNfLgUpDOB59A43-21rlrFha4NU1fyfxMncZhMlpFmyl1rUP0jxw64lpTj7w9R96LbEA8vEArvfCp1ZHg\" width=\"77\" height=\"59\">term.<\/li>\n<\/ul>\n\n\n\n<h1 class=\"wp-block-heading\"><img decoding=\"async\" src=\"https:\/\/lh4.googleusercontent.com\/RJxHvEvBV8zxTDpmpxFFzvJncCiAv4sW4EMpft03DaKj8qz_3PR61Hcws18wF9aQy1KBkzeC5pwIVRNxpae6a0xDVLZdYSvTqVDXuxK_XzFQ1k4ls-M-HQi2DQkLW2DIrDW8uWW7FBcJqHMlN0snTQ\" width=\"83\" height=\"47\"><\/h1>\n\n\n\n<h1 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"_4th_term\"><\/span>= 4<sup>th<\/sup> term.<span class=\"ez-toc-section-end\"><\/span><\/h1>\n\n\n\n<h1 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"The_fourth_term_is_44\"><\/span>The fourth term is 44.<span class=\"ez-toc-section-end\"><\/span><\/h1>\n\n\n\n<ul class=\"wp-block-list\">\n<li>If the number of observations is even then the median is the average of n\/2 and (n\/2) +1 term.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Example-8\"><\/span><strong>Example<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<h1 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Find_the_median_of_the_following_data\"><\/span>Find the median of the following data.<span class=\"ez-toc-section-end\"><\/span><\/h1>\n\n\n\n<p><strong>6, 7, 10, 12, 13, 4, 8,&nbsp; 12<\/strong><\/p>\n\n\n\n<h1 class=\"wp-block-heading\"><\/h1>\n\n\n\n<h1 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"1_First_we_need_to_arrange_it_in_ascending_order\"><\/span>1. First, we need to arrange it in ascending order.<span class=\"ez-toc-section-end\"><\/span><\/h1>\n\n\n\n<h1 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"4_6_7810121213\"><\/span><strong>4, 6, 7,8,10,12,12,13<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h1>\n\n\n\n<h1 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"2_The_no_of_observation_is_8_As_the_no_of_observation_is_even_the_median_is_the_average_of_n2_and_n21\"><\/span>2. The no. of observation is 8. As the no. of observation is even the median is the average of n\/2 and (n\/2)+1.<span class=\"ez-toc-section-end\"><\/span><\/h1>\n\n\n\n<h1 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"3\"><\/span>3.<img decoding=\"async\" src=\"https:\/\/lh6.googleusercontent.com\/TNZ7tjGxiOcnIPF692wasGTHscMWkIl2Os1mT46_laI-uRvFPCx1PwWE94P-I-yBpjrh1l0yHg9wAjhDNSibr9hfGHDDvjFDZh8DxasH8mJihGURxaW_QQ-cu5aMPjtfUzzIrVIhO28rG9tSVR9MeA\" width=\"339\" height=\"47\"><span class=\"ez-toc-section-end\"><\/span><\/h1>\n\n\n\n<h1 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"4_4th_term_is_8_and_the_5th_term_is_10\"><\/span>4.&nbsp; 4<sup>th<\/sup> term is 8 and the 5<sup>th<\/sup> term is 10.<span class=\"ez-toc-section-end\"><\/span><\/h1>\n\n\n\n<h1 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"5_So_the_median\"><\/span>5. So the median<img decoding=\"async\" src=\"https:\/\/lh4.googleusercontent.com\/eRBXnNPAQVHONxAYl5ht2QCus0BDH2uJNHPVHnIBXNdtSYS3oMdJ6uKSK0wFGHHQQtiemOjWxB3fDwQ-jjXsFrdGzIATssC167hc3u6dHNmApfRLtUINoy1XxHVNCXn96B1hAo1D8BEPXnEWxcC7Lg\" width=\"136\" height=\"47\"><span class=\"ez-toc-section-end\"><\/span><\/h1>\n\n\n\n<h3 class=\"wp-block-heading\"><\/h3>\n\n\n\n<h3 class=\"wp-block-heading\"><\/h3>\n\n\n\n<h3 class=\"wp-block-heading\"><\/h3>\n\n\n\n<h3 class=\"wp-block-heading\"><\/h3>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"3_Mode-2\"><\/span>3. <strong>Mode<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<h1 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"The_mode_is_the_value_of_the_observation_which_shows_the_number_that_occurs_frequently_in_data_ie_the_number_of_observations_which_has_the_maximum_frequency_is_known_as_the_Mode\"><\/span>The mode is the value of the observation which shows the number that occurs frequently in data i.e. the number of observations which has the maximum frequency is known as the Mode.<span class=\"ez-toc-section-end\"><\/span><\/h1>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Example-9\"><\/span><strong>Example<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<h1 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Find_the_Mode_of_the_following_data\"><\/span>Find the Mode of the following data:<span class=\"ez-toc-section-end\"><\/span><\/h1>\n\n\n\n<h1 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"15_20_22_25_30_2015_2012_20\"><\/span>15, 20, 22, 25, 30, 20,15, 20,12, 20<span class=\"ez-toc-section-end\"><\/span><\/h1>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Solution-3\"><\/span><strong>Solution<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<h1 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Here_the_number_20_appears_the_maximum_number_of_times_so\"><\/span>Here the number 20 appears the maximum number of times so<span class=\"ez-toc-section-end\"><\/span><\/h1>\n\n\n\n<h1 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Mode_20\"><\/span>Mode = 20.<span class=\"ez-toc-section-end\"><\/span><\/h1>\n\n\n\n<h1 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Remark_The_empirical_relation_between_the_three_measures_of_central_tendency_is_3_Median_Mode_2_Mean\"><\/span>Remark: The empirical relation between the three measures of central tendency is: <strong>3 Median = Mode + 2 Mean<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h1>\n<\/div>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-uagb-container uagb-block-fe53acc0 alignfull uagb-is-root-container\"><div class=\"uagb-container-inner-blocks-wrap\">\n<div class=\"wp-block-uagb-container uagb-block-f7936561\">\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-4-3 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<iframe title=\"Volume\" width=\"500\" height=\"375\" src=\"https:\/\/www.youtube.com\/embed\/dy2ZsRQqK0M?list=PLEuUy4TjqFeAOkz9COEMEDiOCqPLFgr-9\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe>\n<\/div><figcaption class=\"wp-element-caption\">Hindi Version<\/figcaption><\/figure>\n<\/div>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-columns alignfull is-layout-flex wp-container-core-columns-is-layout-d2da2050 wp-block-columns-is-layout-flex\" style=\"margin-bottom:0\">\n<div class=\"wp-block-column has-tertiary-background-color has-text-color has-background has-link-color wp-elements-b65024ecaa132696fb9f56bc9825655f is-layout-flow wp-block-column-is-layout-flow\" style=\"color:#000000;padding-top:2em;padding-right:2em;padding-bottom:2em;padding-left:2em\">\n<h2 class=\"wp-block-heading\" id=\"family\" style=\"font-size:clamp(24.034px, 1.502rem + ((1vw - 3.2px) * 1.565), 40px);\"><span class=\"ez-toc-section\" id=\"Dig_Deep\"><\/span><strong>Dig Deep<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p class=\"has-luminous-vivid-orange-color has-text-color has-normal-font-size\" style=\"line-height:1.5\"><strong>Topic Level Resources<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-css-opacity is-style-wide is-style-wide--4\"\/>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-28f84493 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<div class=\"wp-block-columns alignwide is-layout-flex wp-container-core-columns-is-layout-d2da2050 wp-block-columns-is-layout-flex\" style=\"margin-bottom:0\">\n<div class=\"wp-block-column has-text-color has-background has-link-color wp-elements-e6eaa140dba6463a8f938f22ec2b7cdb is-layout-flow wp-block-column-is-layout-flow\" style=\"color:#000000;background-color:#c0ebf1;padding-top:2em;padding-right:2em;padding-bottom:2em;padding-left:2em\">\n<h2 class=\"wp-block-heading\" id=\"patron\" style=\"font-size:clamp(24.034px, 1.502rem + ((1vw - 3.2px) * 1.565), 40px);\"><span class=\"ez-toc-section\" id=\"Sub_%E2%80%93_Topics\"><\/span><strong>Sub &#8211; Topics<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p class=\"has-normal-font-size\"><strong>Select A Topic<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-css-opacity is-style-wide is-style-wide--5\"\/>\n\n\n\n<p class=\"has-medium-font-size\">Topic:<\/p>\n<\/div>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<div class=\"wp-block-columns alignwide is-layout-flex wp-container-core-columns-is-layout-d2da2050 wp-block-columns-is-layout-flex\" style=\"margin-bottom:0\">\n<div class=\"wp-block-column has-text-color has-background has-link-color has-medium-font-size wp-elements-cbc7d8945c2bc94b3a25d36303f59d82 is-layout-flow wp-block-column-is-layout-flow\" style=\"color:#000000;background-color:#d1d1e1;padding-top:2em;padding-right:2em;padding-bottom:2em;padding-left:2em\">\n<h2 class=\"wp-block-heading\" id=\"family\" style=\"font-size:clamp(24.034px, 1.502rem + ((1vw - 3.2px) * 1.565), 40px);\"><span class=\"ez-toc-section\" id=\"Chapters_Index\"><\/span><strong>Chapters Index<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p class=\"has-normal-font-size\" style=\"line-height:1.5\"><strong>Select Another Chapter<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-css-opacity is-style-wide is-style-wide--6\"\/>\n\n\n[display-posts category=&#8221;CBSE 9 &#8211; Mathematics &#8211; Study &#8211; Premium&#8221; order=&#8221;ASC&#8221; posts_per_page=&#8221;25&#8243;]\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-group alignfull has-text-color has-background is-layout-flow wp-block-group-is-layout-flow\" style=\"color:#000000;background-color:#ffffff\">\n<h2 class=\"wp-block-heading has-text-align-center\" id=\"schedule-a-visit\" style=\"font-size:clamp(32.969px, 2.061rem + ((1vw - 3.2px) * 2.552), 59px);px;line-height:1.15\"><span class=\"ez-toc-section\" id=\"Assessments\"><\/span><strong>Assessments<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p class=\"has-text-align-center has-vivid-red-color has-text-color has-small-font-size\" style=\"line-height:.9\"><strong><strong>Personalised Assessments<\/strong><\/strong><\/p>\n\n\n\n<div class=\"wp-block-buttons is-horizontal is-content-justification-center is-layout-flex wp-container-core-buttons-is-layout-03627597 wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button has-custom-width wp-block-button__width-25 has-custom-font-size has-medium-font-size\"><a class=\"wp-block-button__link has-text-color has-background wp-element-button\" style=\"border-radius:50px;color:#ffffff;background-color:#000000\">Assess<\/a><\/div>\n<\/div>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-query alignfull is-layout-flow wp-block-query-is-layout-flow\">\n<div class=\"wp-block-group has-tertiary-background-color has-background has-link-color wp-elements-378df19c0618440cd1651f8e329ee47e is-layout-flow wp-block-group-is-layout-flow\"><\/div>\n<\/div>\n\n    <div class=\"xs_social_share_widget xs_share_url after_content \t\tmain_content  wslu-style-1 wslu-share-box-shaped wslu-fill-colored wslu-none wslu-share-horizontal wslu-theme-font-no wslu-main_content\">\n\n\t\t\n        <ul>\n\t\t\t        <\/ul>\n    <\/div> \n","protected":false},"excerpt":{"rendered":"<div class='heateorSssClear'><\/div><div  class='heateor_sss_sharing_container heateor_sss_horizontal_sharing' data-heateor-sss-href='https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/statistics-study\/'><div class='heateor_sss_sharing_title' style=\"font-weight:bold\" >Share\/Assign<\/div><div class=\"heateor_sss_sharing_ul\"><a aria-label=\"Facebook\" class=\"heateor_sss_facebook\" href=\"https:\/\/www.facebook.com\/sharer\/sharer.php?u=https%3A%2F%2Ftherightmentor.com%2Ftrm-course%2Fhome%2Fcourses%2Fcbse-9-mathematics-study-premium%2Fstatistics-study%2F\" title=\"Facebook\" rel=\"nofollow noopener\" target=\"_blank\" style=\"font-size:32px!important;box-shadow:none;display:inline-block;vertical-align:middle\"><span class=\"heateor_sss_svg\" style=\"background-color:#0765FE;width:35px;height:35px;border-radius:999px;display:inline-block;opacity:1;float:left;font-size:32px;box-shadow:none;display:inline-block;font-size:16px;padding:0 4px;vertical-align:middle;background-repeat:repeat;overflow:hidden;padding:0;cursor:pointer;box-sizing:content-box\"><svg style=\"display:block;border-radius:999px;\" focusable=\"false\" aria-hidden=\"true\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"100%\" height=\"100%\" viewBox=\"0 0 32 32\"><path fill=\"#fff\" d=\"M28 16c0-6.627-5.373-12-12-12S4 9.373 4 16c0 5.628 3.875 10.35 9.101 11.647v-7.98h-2.474V16H13.1v-1.58c0-4.085 1.849-5.978 5.859-5.978.76 0 2.072.15 2.608.298v3.325c-.283-.03-.775-.045-1.386-.045-1.967 0-2.728.745-2.728 2.683V16h3.92l-.673 3.667h-3.247v8.245C23.395 27.195 28 22.135 28 16Z\"><\/path><\/svg><\/span><\/a><a aria-label=\"Google Classroom\" class=\"heateor_sss_button_google_classroom\" href=\"https:\/\/classroom.google.com\/u\/0\/share?url=https%3A%2F%2Ftherightmentor.com%2Ftrm-course%2Fhome%2Fcourses%2Fcbse-9-mathematics-study-premium%2Fstatistics-study%2F\" title=\"Google Classroom\" rel=\"nofollow noopener\" target=\"_blank\" style=\"font-size:32px!important;box-shadow:none;display:inline-block;vertical-align:middle\"><span class=\"heateor_sss_svg heateor_sss_s__default heateor_sss_s_Google_Classroom\" style=\"background-color:#ffc112;width:35px;height:35px;border-radius:999px;display:inline-block;opacity:1;float:left;font-size:32px;box-shadow:none;display:inline-block;font-size:16px;padding:0 4px;vertical-align:middle;background-repeat:repeat;overflow:hidden;padding:0;cursor:pointer;box-sizing:content-box\"><svg style=\"display:block;border-radius:999px;\" focusable=\"false\" aria-hidden=\"true\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"100%\" height=\"100%\" viewBox=\"-2 2 36 36\"><g fill=\"#fff\"><path d=\"M22.667 16.667a1.667 1.667 0 1 0 0-3.334 1.667 1.667 0 0 0 0 3.334zM22.333 18c-1.928 0-4 .946-4 2.117v1.217h8v-1.217c0-1.17-2.072-2.117-4-2.117zm-13-1.333a1.668 1.668 0 1 0-.002-3.336 1.668 1.668 0 0 0 .002 3.336zM9.667 18c-1.928 0-4 .946-4 2.117v1.217h8v-1.217c0-1.17-2.072-2.117-4-2.117z\"\/><path d=\"M15.335 15.333A2.332 2.332 0 1 0 13 13a2.333 2.333 0 0 0 2.335 2.333zm.332 1.334c-2.572 0-5.333 1.392-5.333 3.11v1.557H21v-1.556c0-1.72-2.762-3.11-5.333-3.11zm3 10.666h8v2h-8v-2z\"\/><\/g><\/svg><\/span><\/a><a aria-label=\"Whatsapp\" class=\"heateor_sss_whatsapp\" href=\"https:\/\/api.whatsapp.com\/send?text=STATISTICS%20%7C%20Study%20https%3A%2F%2Ftherightmentor.com%2Ftrm-course%2Fhome%2Fcourses%2Fcbse-9-mathematics-study-premium%2Fstatistics-study%2F\" title=\"Whatsapp\" rel=\"nofollow noopener\" target=\"_blank\" style=\"font-size:32px!important;box-shadow:none;display:inline-block;vertical-align:middle\"><span class=\"heateor_sss_svg\" style=\"background-color:#55eb4c;width:35px;height:35px;border-radius:999px;display:inline-block;opacity:1;float:left;font-size:32px;box-shadow:none;display:inline-block;font-size:16px;padding:0 4px;vertical-align:middle;background-repeat:repeat;overflow:hidden;padding:0;cursor:pointer;box-sizing:content-box\"><svg style=\"display:block;border-radius:999px;\" focusable=\"false\" aria-hidden=\"true\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"100%\" height=\"100%\" viewBox=\"-6 -5 40 40\"><path class=\"heateor_sss_svg_stroke heateor_sss_no_fill\" stroke=\"#fff\" stroke-width=\"2\" fill=\"none\" d=\"M 11.579798566743314 24.396926207859085 A 10 10 0 1 0 6.808479557110079 20.73576436351046\"><\/path><path d=\"M 7 19 l -1 6 l 6 -1\" class=\"heateor_sss_no_fill heateor_sss_svg_stroke\" stroke=\"#fff\" stroke-width=\"2\" fill=\"none\"><\/path><path d=\"M 10 10 q -1 8 8 11 c 5 -1 0 -6 -1 -3 q -4 -3 -5 -5 c 4 -2 -1 -5 -1 -4\" fill=\"#fff\"><\/path><\/svg><\/span><\/a><a aria-label=\"Telegram\" class=\"heateor_sss_button_telegram\" href=\"https:\/\/telegram.me\/share\/url?url=https%3A%2F%2Ftherightmentor.com%2Ftrm-course%2Fhome%2Fcourses%2Fcbse-9-mathematics-study-premium%2Fstatistics-study%2F&text=STATISTICS%20%7C%20Study\" title=\"Telegram\" rel=\"nofollow noopener\" target=\"_blank\" style=\"font-size:32px!important;box-shadow:none;display:inline-block;vertical-align:middle\"><span class=\"heateor_sss_svg heateor_sss_s__default heateor_sss_s_telegram\" style=\"background-color:#3da5f1;width:35px;height:35px;border-radius:999px;display:inline-block;opacity:1;float:left;font-size:32px;box-shadow:none;display:inline-block;font-size:16px;padding:0 4px;vertical-align:middle;background-repeat:repeat;overflow:hidden;padding:0;cursor:pointer;box-sizing:content-box\"><svg style=\"display:block;border-radius:999px;\" focusable=\"false\" aria-hidden=\"true\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"100%\" height=\"100%\" viewBox=\"0 0 32 32\"><path fill=\"#fff\" d=\"M25.515 6.896L6.027 14.41c-1.33.534-1.322 1.276-.243 1.606l5 1.56 1.72 5.66c.226.625.115.873.77.873.506 0 .73-.235 1.012-.51l2.43-2.363 5.056 3.734c.93.514 1.602.25 1.834-.863l3.32-15.638c.338-1.363-.52-1.98-1.41-1.577z\"><\/path><\/svg><\/span><\/a><a aria-label=\"Teams\" class=\"heateor_sss_button_teams\" href=\"https:\/\/teams.microsoft.com\/share?href=https%3A%2F%2Ftherightmentor.com%2Ftrm-course%2Fhome%2Fcourses%2Fcbse-9-mathematics-study-premium%2Fstatistics-study%2F&msgText=STATISTICS%20%7C%20Study\" title=\"Teams\" rel=\"nofollow noopener\" target=\"_blank\" style=\"font-size:32px!important;box-shadow:none;display:inline-block;vertical-align:middle\"><span class=\"heateor_sss_svg heateor_sss_s__default heateor_sss_s_teams\" style=\"background-color:#5059c9;width:35px;height:35px;border-radius:999px;display:inline-block;opacity:1;float:left;font-size:32px;box-shadow:none;display:inline-block;font-size:16px;padding:0 4px;vertical-align:middle;background-repeat:repeat;overflow:hidden;padding:0;cursor:pointer;box-sizing:content-box\"><svg width=\"100%\" height=\"100%\" style=\"display:block;border-radius:999px;\" focusable=\"false\" aria-hidden=\"true\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewBox=\"0 0 32 32\"><path fill=\"#fff\" d=\"M24.63 12.14a2.63 2.63 0 1 0 0-5.26 2.63 2.63 0 0 0 0 5.26Zm2.25.74h-3.29c.18.34.32.72.32 1.12v7.13c0 .74-.11 1.47-.34 2.14 2.01.36 3.94-.93 4.34-2.93.04-.25.09-.52.09-.76V14c0-.63-.52-1.12-1.12-1.12ZM16.75 4.87a3.515 3.515 0 0 0-3.49 3.87h1.73c1.19 0 2.14.97 2.14 2.14v.97c1.75-.2 3.1-1.69 3.1-3.49a3.48 3.48 0 0 0-3.49-3.49h.01Zm4.86 8.01h-4.48v8.01c0 1.19-.97 2.14-2.14 2.14h-3.94c.04.11.07.25.11.36.11.26.22.52.38.74a6.004 6.004 0 0 0 5.2 2.99c3.31 0 5.98-2.68 5.98-6.01v-7.14c0-.61-.49-1.09-1.12-1.09h.01Z\"><\/path><path fill=\"#fff\" d=\"M15 9.86H4.99c-.56 0-.99.45-.99.99v10.02c0 .56.45.99.99.99h10.02c.56 0 .99-.45.99-.99v-9.99c-.01-.56-.44-1.02-1-1.02Zm-2.02 3.74h-2.23v6.01H9.28V13.6H7.03v-1.49h5.96v1.49h-.02.01Z\"><\/path><\/svg><\/span><\/a><a class=\"heateor_sss_more\" aria-label=\"More\" title=\"More\" rel=\"nofollow noopener\" style=\"font-size: 32px!important;border:0;box-shadow:none;display:inline-block!important;font-size:16px;padding:0 4px;vertical-align: middle;display:inline;\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/statistics-study\/\" onclick=\"event.preventDefault()\"><span class=\"heateor_sss_svg\" style=\"background-color:#ee8e2d;width:35px;height:35px;border-radius:999px;display:inline-block!important;opacity:1;float:left;font-size:32px!important;box-shadow:none;display:inline-block;font-size:16px;padding:0 4px;vertical-align:middle;display:inline;background-repeat:repeat;overflow:hidden;padding:0;cursor:pointer;box-sizing:content-box;\" onclick=\"heateorSssMoreSharingPopup(this, 'https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/statistics-study\/', 'STATISTICS%20%7C%20Study', '' )\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" viewBox=\"-.3 0 32 32\" version=\"1.1\" width=\"100%\" height=\"100%\" style=\"display:block;border-radius:999px;\" xml:space=\"preserve\"><g><path fill=\"#fff\" d=\"M18 14V8h-4v6H8v4h6v6h4v-6h6v-4h-6z\" fill-rule=\"evenodd\"><\/path><\/g><\/svg><\/span><\/a><\/div><div class=\"heateorSssClear\"><\/div><\/div><div class='heateorSssClear'><\/div><br\/><p>Pre-Requisires Test &amp; Enrich Speed Notes Notes For Quick Recap Study Tools Audio, Visual &amp; Digital Content Statistics Statistics is the study of collection, organization, analysis and interpretation of data. Data Data is a distinct piece of information in the form of fact or figures collected or represented for any specific purpose. The word data [&hellip;]<\/p>\n<br\/><div class='heateorSssClear'><\/div><div  class='heateor_sss_sharing_container heateor_sss_horizontal_sharing' data-heateor-sss-href='https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/statistics-study\/'><div class='heateor_sss_sharing_title' style=\"font-weight:bold\" >Share\/Assign<\/div><div class=\"heateor_sss_sharing_ul\"><a aria-label=\"Facebook\" class=\"heateor_sss_facebook\" href=\"https:\/\/www.facebook.com\/sharer\/sharer.php?u=https%3A%2F%2Ftherightmentor.com%2Ftrm-course%2Fhome%2Fcourses%2Fcbse-9-mathematics-study-premium%2Fstatistics-study%2F\" title=\"Facebook\" rel=\"nofollow noopener\" target=\"_blank\" style=\"font-size:32px!important;box-shadow:none;display:inline-block;vertical-align:middle\"><span class=\"heateor_sss_svg\" style=\"background-color:#0765FE;width:35px;height:35px;border-radius:999px;display:inline-block;opacity:1;float:left;font-size:32px;box-shadow:none;display:inline-block;font-size:16px;padding:0 4px;vertical-align:middle;background-repeat:repeat;overflow:hidden;padding:0;cursor:pointer;box-sizing:content-box\"><svg style=\"display:block;border-radius:999px;\" focusable=\"false\" aria-hidden=\"true\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"100%\" height=\"100%\" viewBox=\"0 0 32 32\"><path fill=\"#fff\" d=\"M28 16c0-6.627-5.373-12-12-12S4 9.373 4 16c0 5.628 3.875 10.35 9.101 11.647v-7.98h-2.474V16H13.1v-1.58c0-4.085 1.849-5.978 5.859-5.978.76 0 2.072.15 2.608.298v3.325c-.283-.03-.775-.045-1.386-.045-1.967 0-2.728.745-2.728 2.683V16h3.92l-.673 3.667h-3.247v8.245C23.395 27.195 28 22.135 28 16Z\"><\/path><\/svg><\/span><\/a><a aria-label=\"Google Classroom\" class=\"heateor_sss_button_google_classroom\" href=\"https:\/\/classroom.google.com\/u\/0\/share?url=https%3A%2F%2Ftherightmentor.com%2Ftrm-course%2Fhome%2Fcourses%2Fcbse-9-mathematics-study-premium%2Fstatistics-study%2F\" title=\"Google Classroom\" rel=\"nofollow noopener\" target=\"_blank\" style=\"font-size:32px!important;box-shadow:none;display:inline-block;vertical-align:middle\"><span class=\"heateor_sss_svg heateor_sss_s__default heateor_sss_s_Google_Classroom\" style=\"background-color:#ffc112;width:35px;height:35px;border-radius:999px;display:inline-block;opacity:1;float:left;font-size:32px;box-shadow:none;display:inline-block;font-size:16px;padding:0 4px;vertical-align:middle;background-repeat:repeat;overflow:hidden;padding:0;cursor:pointer;box-sizing:content-box\"><svg style=\"display:block;border-radius:999px;\" focusable=\"false\" aria-hidden=\"true\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"100%\" height=\"100%\" viewBox=\"-2 2 36 36\"><g fill=\"#fff\"><path d=\"M22.667 16.667a1.667 1.667 0 1 0 0-3.334 1.667 1.667 0 0 0 0 3.334zM22.333 18c-1.928 0-4 .946-4 2.117v1.217h8v-1.217c0-1.17-2.072-2.117-4-2.117zm-13-1.333a1.668 1.668 0 1 0-.002-3.336 1.668 1.668 0 0 0 .002 3.336zM9.667 18c-1.928 0-4 .946-4 2.117v1.217h8v-1.217c0-1.17-2.072-2.117-4-2.117z\"\/><path d=\"M15.335 15.333A2.332 2.332 0 1 0 13 13a2.333 2.333 0 0 0 2.335 2.333zm.332 1.334c-2.572 0-5.333 1.392-5.333 3.11v1.557H21v-1.556c0-1.72-2.762-3.11-5.333-3.11zm3 10.666h8v2h-8v-2z\"\/><\/g><\/svg><\/span><\/a><a aria-label=\"Whatsapp\" class=\"heateor_sss_whatsapp\" href=\"https:\/\/api.whatsapp.com\/send?text=STATISTICS%20%7C%20Study%20https%3A%2F%2Ftherightmentor.com%2Ftrm-course%2Fhome%2Fcourses%2Fcbse-9-mathematics-study-premium%2Fstatistics-study%2F\" title=\"Whatsapp\" rel=\"nofollow noopener\" target=\"_blank\" style=\"font-size:32px!important;box-shadow:none;display:inline-block;vertical-align:middle\"><span class=\"heateor_sss_svg\" style=\"background-color:#55eb4c;width:35px;height:35px;border-radius:999px;display:inline-block;opacity:1;float:left;font-size:32px;box-shadow:none;display:inline-block;font-size:16px;padding:0 4px;vertical-align:middle;background-repeat:repeat;overflow:hidden;padding:0;cursor:pointer;box-sizing:content-box\"><svg style=\"display:block;border-radius:999px;\" focusable=\"false\" aria-hidden=\"true\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"100%\" height=\"100%\" viewBox=\"-6 -5 40 40\"><path class=\"heateor_sss_svg_stroke heateor_sss_no_fill\" stroke=\"#fff\" stroke-width=\"2\" fill=\"none\" d=\"M 11.579798566743314 24.396926207859085 A 10 10 0 1 0 6.808479557110079 20.73576436351046\"><\/path><path d=\"M 7 19 l -1 6 l 6 -1\" class=\"heateor_sss_no_fill heateor_sss_svg_stroke\" stroke=\"#fff\" stroke-width=\"2\" fill=\"none\"><\/path><path d=\"M 10 10 q -1 8 8 11 c 5 -1 0 -6 -1 -3 q -4 -3 -5 -5 c 4 -2 -1 -5 -1 -4\" fill=\"#fff\"><\/path><\/svg><\/span><\/a><a aria-label=\"Telegram\" class=\"heateor_sss_button_telegram\" href=\"https:\/\/telegram.me\/share\/url?url=https%3A%2F%2Ftherightmentor.com%2Ftrm-course%2Fhome%2Fcourses%2Fcbse-9-mathematics-study-premium%2Fstatistics-study%2F&text=STATISTICS%20%7C%20Study\" title=\"Telegram\" rel=\"nofollow noopener\" target=\"_blank\" style=\"font-size:32px!important;box-shadow:none;display:inline-block;vertical-align:middle\"><span class=\"heateor_sss_svg heateor_sss_s__default heateor_sss_s_telegram\" style=\"background-color:#3da5f1;width:35px;height:35px;border-radius:999px;display:inline-block;opacity:1;float:left;font-size:32px;box-shadow:none;display:inline-block;font-size:16px;padding:0 4px;vertical-align:middle;background-repeat:repeat;overflow:hidden;padding:0;cursor:pointer;box-sizing:content-box\"><svg style=\"display:block;border-radius:999px;\" focusable=\"false\" aria-hidden=\"true\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"100%\" height=\"100%\" viewBox=\"0 0 32 32\"><path fill=\"#fff\" d=\"M25.515 6.896L6.027 14.41c-1.33.534-1.322 1.276-.243 1.606l5 1.56 1.72 5.66c.226.625.115.873.77.873.506 0 .73-.235 1.012-.51l2.43-2.363 5.056 3.734c.93.514 1.602.25 1.834-.863l3.32-15.638c.338-1.363-.52-1.98-1.41-1.577z\"><\/path><\/svg><\/span><\/a><a aria-label=\"Teams\" class=\"heateor_sss_button_teams\" href=\"https:\/\/teams.microsoft.com\/share?href=https%3A%2F%2Ftherightmentor.com%2Ftrm-course%2Fhome%2Fcourses%2Fcbse-9-mathematics-study-premium%2Fstatistics-study%2F&msgText=STATISTICS%20%7C%20Study\" title=\"Teams\" rel=\"nofollow noopener\" target=\"_blank\" style=\"font-size:32px!important;box-shadow:none;display:inline-block;vertical-align:middle\"><span class=\"heateor_sss_svg heateor_sss_s__default heateor_sss_s_teams\" style=\"background-color:#5059c9;width:35px;height:35px;border-radius:999px;display:inline-block;opacity:1;float:left;font-size:32px;box-shadow:none;display:inline-block;font-size:16px;padding:0 4px;vertical-align:middle;background-repeat:repeat;overflow:hidden;padding:0;cursor:pointer;box-sizing:content-box\"><svg width=\"100%\" height=\"100%\" style=\"display:block;border-radius:999px;\" focusable=\"false\" aria-hidden=\"true\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewBox=\"0 0 32 32\"><path fill=\"#fff\" d=\"M24.63 12.14a2.63 2.63 0 1 0 0-5.26 2.63 2.63 0 0 0 0 5.26Zm2.25.74h-3.29c.18.34.32.72.32 1.12v7.13c0 .74-.11 1.47-.34 2.14 2.01.36 3.94-.93 4.34-2.93.04-.25.09-.52.09-.76V14c0-.63-.52-1.12-1.12-1.12ZM16.75 4.87a3.515 3.515 0 0 0-3.49 3.87h1.73c1.19 0 2.14.97 2.14 2.14v.97c1.75-.2 3.1-1.69 3.1-3.49a3.48 3.48 0 0 0-3.49-3.49h.01Zm4.86 8.01h-4.48v8.01c0 1.19-.97 2.14-2.14 2.14h-3.94c.04.11.07.25.11.36.11.26.22.52.38.74a6.004 6.004 0 0 0 5.2 2.99c3.31 0 5.98-2.68 5.98-6.01v-7.14c0-.61-.49-1.09-1.12-1.09h.01Z\"><\/path><path fill=\"#fff\" d=\"M15 9.86H4.99c-.56 0-.99.45-.99.99v10.02c0 .56.45.99.99.99h10.02c.56 0 .99-.45.99-.99v-9.99c-.01-.56-.44-1.02-1-1.02Zm-2.02 3.74h-2.23v6.01H9.28V13.6H7.03v-1.49h5.96v1.49h-.02.01Z\"><\/path><\/svg><\/span><\/a><a class=\"heateor_sss_more\" aria-label=\"More\" title=\"More\" rel=\"nofollow noopener\" style=\"font-size: 32px!important;border:0;box-shadow:none;display:inline-block!important;font-size:16px;padding:0 4px;vertical-align: middle;display:inline;\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/statistics-study\/\" onclick=\"event.preventDefault()\"><span class=\"heateor_sss_svg\" style=\"background-color:#ee8e2d;width:35px;height:35px;border-radius:999px;display:inline-block!important;opacity:1;float:left;font-size:32px!important;box-shadow:none;display:inline-block;font-size:16px;padding:0 4px;vertical-align:middle;display:inline;background-repeat:repeat;overflow:hidden;padding:0;cursor:pointer;box-sizing:content-box;\" onclick=\"heateorSssMoreSharingPopup(this, 'https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/statistics-study\/', 'STATISTICS%20%7C%20Study', '' )\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" viewBox=\"-.3 0 32 32\" version=\"1.1\" width=\"100%\" height=\"100%\" style=\"display:block;border-radius:999px;\" xml:space=\"preserve\"><g><path fill=\"#fff\" d=\"M18 14V8h-4v6H8v4h6v6h4v-6h6v-4h-6z\" fill-rule=\"evenodd\"><\/path><\/g><\/svg><\/span><\/a><\/div><div class=\"heateorSssClear\"><\/div><\/div><div class='heateorSssClear'><\/div>","protected":false},"author":1,"featured_media":25365,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"om_disable_all_campaigns":false,"_uag_custom_page_level_css":"","_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"_jetpack_memberships_contains_paid_content":false,"_joinchat":[],"footnotes":""},"categories":[364],"tags":[107,121,114,109,370,371,110],"level":[],"tool":[],"class_list":["post-37751","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-cbse-9-mathematics-study-premium","tag-cbse","tag-class-9","tag-material","tag-mathathematics","tag-premium","tag-statistics","tag-study"],"acf":[],"jetpack_featured_media_url":"https:\/\/therightmentor.com\/wp-content\/uploads\/2022\/12\/Teacher-And-Student-scaled-e1703049941268.jpg","uagb_featured_image_src":{"full":["https:\/\/therightmentor.com\/wp-content\/uploads\/2022\/12\/Teacher-And-Student-scaled-e1703049941268.jpg",1898,1450,false],"thumbnail":["https:\/\/therightmentor.com\/wp-content\/uploads\/2022\/12\/Teacher-And-Student-scaled-e1703049941268-150x150.jpg",150,150,true],"medium":["https:\/\/therightmentor.com\/wp-content\/uploads\/2022\/12\/Teacher-And-Student-scaled-e1703049941268-300x229.jpg",300,229,true],"medium_large":["https:\/\/therightmentor.com\/wp-content\/uploads\/2022\/12\/Teacher-And-Student-scaled-e1703049941268-768x587.jpg",768,587,true],"large":["https:\/\/therightmentor.com\/wp-content\/uploads\/2022\/12\/Teacher-And-Student-scaled-e1703049941268-1024x782.jpg",1024,782,true],"1536x1536":["https:\/\/therightmentor.com\/wp-content\/uploads\/2022\/12\/Teacher-And-Student-scaled-e1703049941268-1536x1173.jpg",1536,1173,true],"2048x2048":["https:\/\/therightmentor.com\/wp-content\/uploads\/2022\/12\/Teacher-And-Student-scaled-2048x1379.jpg",2048,1379,true],"woocommerce_thumbnail":["https:\/\/therightmentor.com\/wp-content\/uploads\/2022\/12\/Teacher-And-Student-scaled-e1703049941268-300x300.jpg",300,300,true],"woocommerce_single":["https:\/\/therightmentor.com\/wp-content\/uploads\/2022\/12\/Teacher-And-Student-scaled-e1703049941268-600x458.jpg",600,458,true],"woocommerce_gallery_thumbnail":["https:\/\/therightmentor.com\/wp-content\/uploads\/2022\/12\/Teacher-And-Student-scaled-e1703049941268-100x100.jpg",100,100,true]},"uagb_author_info":{"display_name":"AMARNATHREDDY M","author_link":"https:\/\/therightmentor.com\/trm-course\/home\/courses\/author\/amar2330gmail-com\/"},"uagb_comment_info":0,"uagb_excerpt":"Pre-Requisires Test &amp; Enrich Speed Notes Notes For Quick Recap Study Tools Audio, Visual &amp; Digital Content Statistics Statistics is the study of collection, organization, analysis and interpretation of data. Data Data is a distinct piece of information in the form of fact or figures collected or represented for any specific purpose. The word data&hellip;","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/therightmentor.com\/trm-course\/home\/courses\/wp-json\/wp\/v2\/posts\/37751","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/therightmentor.com\/trm-course\/home\/courses\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/therightmentor.com\/trm-course\/home\/courses\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/therightmentor.com\/trm-course\/home\/courses\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/therightmentor.com\/trm-course\/home\/courses\/wp-json\/wp\/v2\/comments?post=37751"}],"version-history":[{"count":1,"href":"https:\/\/therightmentor.com\/trm-course\/home\/courses\/wp-json\/wp\/v2\/posts\/37751\/revisions"}],"predecessor-version":[{"id":49445,"href":"https:\/\/therightmentor.com\/trm-course\/home\/courses\/wp-json\/wp\/v2\/posts\/37751\/revisions\/49445"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/therightmentor.com\/trm-course\/home\/courses\/wp-json\/wp\/v2\/media\/25365"}],"wp:attachment":[{"href":"https:\/\/therightmentor.com\/trm-course\/home\/courses\/wp-json\/wp\/v2\/media?parent=37751"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/therightmentor.com\/trm-course\/home\/courses\/wp-json\/wp\/v2\/categories?post=37751"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/therightmentor.com\/trm-course\/home\/courses\/wp-json\/wp\/v2\/tags?post=37751"},{"taxonomy":"level","embeddable":true,"href":"https:\/\/therightmentor.com\/trm-course\/home\/courses\/wp-json\/wp\/v2\/level?post=37751"},{"taxonomy":"tool","embeddable":true,"href":"https:\/\/therightmentor.com\/trm-course\/home\/courses\/wp-json\/wp\/v2\/tool?post=37751"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}