{"id":4944,"date":"2016-05-19T09:49:00","date_gmt":"2016-05-19T04:19:00","guid":{"rendered":"http:\/\/mycbseguide.com\/blog\/ncert-solutions-class-10-maths-exercise-14-2\/"},"modified":"2023-03-22T15:15:44","modified_gmt":"2023-03-22T09:45:44","slug":"ncert-solutions-for-class-10-maths-exercise-14-2","status":"publish","type":"post","link":"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-10-maths-exercise-14-2\/","title":{"rendered":"NCERT Solutions for Class 10 Maths Exercise 14.2"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_76 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\" style=\"cursor:inherit\">Table of 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' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-10-maths-exercise-14-2\/#NCERT_Solutions_for_Class_10_Maths_Statistics\" >NCERT Solutions for Class 10 Maths\u00a0Statistics<\/a><ul class='ez-toc-list-level-6' ><li class='ez-toc-heading-level-6'><ul class='ez-toc-list-level-6' ><li class='ez-toc-heading-level-6'><ul class='ez-toc-list-level-6' ><li class='ez-toc-heading-level-6'><ul class='ez-toc-list-level-6' ><li class='ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-10-maths-exercise-14-2\/#1_The_following_table_shows_the_ages_of_the_patients_admitted_in_a_hospital_during_a_year\" >1. The following table shows the ages of the patients admitted in a hospital during a year:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-10-maths-exercise-14-2\/#Find_the_mode_and_the_mean_of_the_data_given_above_Compare_and_interpret_the_two_measures_of_central_tendency\" >Find the mode and the mean of the data given above. Compare and interpret the two measures of central tendency.<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-10-maths-exercise-14-2\/#2_The_following_data_gives_the_information_on_the_observed_lifetimes_in_hours_of_225_electrical_components\" >2. The following data gives the information on the observed lifetimes (in hours) of 225 electrical components:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-10-maths-exercise-14-2\/#3_The_following_data_gives_the_distribution_of_total_monthly_household_expenditure_of_200_families_of_a_village_Find_the_modal_monthly_expenditure_of_the_families_Also_find_the_mean_monthly_expenditure\" >3. The following data gives the distribution of total monthly household expenditure of 200 families of a village. Find the modal monthly expenditure of the families. Also find the mean monthly expenditure:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-10-maths-exercise-14-2\/#4_The_following_distribution_gives_the_state-wise_teacher-student_ratio_in_higher_secondary_schools_of_India_Find_the_mode_and_mean_of_this_data_Interpret_the_two_measures\" >4. The following distribution gives the state-wise teacher-student ratio in higher secondary schools of India. Find the mode and mean of this data. Interpret the two measures.<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-10-maths-exercise-14-2\/#5_The_given_distribution_shows_the_number_of_runs_scored_by_some_top_batsmen_of_the_world_in_one-day_cricket_matches\" >5. The given distribution shows the number of runs scored by some top batsmen of the world in one-day cricket matches:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-10-maths-exercise-14-2\/#6_A_student_noted_the_number_of_cars_passing_through_a_spot_on_a_road_for_100_periods_each_of_3_minutes_and_summarized_it_in_the_table_given_below\" >6. A student noted the number of cars passing through a spot on a road for 100 periods each of 3 minutes and summarized it in the table given below:<\/a><\/li><\/ul><\/li><\/ul><\/li><\/ul><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-10-maths-exercise-14-2\/#NCERT_Solutions_for_Class_10_Maths_Exercise_142\" >NCERT Solutions for Class 10 Maths Exercise 14.2<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-10-maths-exercise-14-2\/#CBSE_app_for_Class_10\" >CBSE app for Class 10<\/a><\/li><\/ul><\/nav><\/div>\n<p>NCERT Solutions for Class 10 Maths Exercise 14.2 Class 10 Maths book solutions are available in PDF format for free download. These ncert book chapter wise questions and answers are very helpful for CBSE board exam. CBSE recommends NCERT books and most of the questions in CBSE exam are asked from NCERT text books. Class 10 Maths chapter wise NCERT solution for Maths Book for all the chapters can be downloaded from our website and myCBSEguide mobile app for free.<\/p>\n<p style=\"text-align: center;\"><strong>NCERT solutions for Maths\u00a0<\/strong><strong>Statistics\u00a0<\/strong><strong><a class=\"button\" href=\"https:\/\/mycbseguide.com\/downloads\/cbse-class-10-mathematics-statistics\/1214\/ncert-solutions\/5\/\">Download as PDF<\/a><\/strong><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter\" src=\"https:\/\/media-mycbseguide.s3.ap-south-1.amazonaws.com\/images\/blog\/10%20Maths%20Book.jpg\" alt=\"NCERT Solutions for Class 10 Maths Exercise 14.2\" width=\"175\" height=\"215\" \/><\/p>\n<h2><span class=\"ez-toc-section\" id=\"NCERT_Solutions_for_Class_10_Maths_Statistics\"><\/span>NCERT Solutions for Class 10 Maths\u00a0Statistics<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h6><span class=\"ez-toc-section\" id=\"1_The_following_table_shows_the_ages_of_the_patients_admitted_in_a_hospital_during_a_year\"><\/span><strong>1. The following table shows the ages of the patients admitted in a hospital during a year:<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p><strong><img decoding=\"async\" id=\"Picture 1\" style=\"height: 69px; width: 607px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.2\/image001.png\" \/><\/strong><\/p>\n<h6 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"Find_the_mode_and_the_mean_of_the_data_given_above_Compare_and_interpret_the_two_measures_of_central_tendency\"><\/span><strong>Find the mode and the mean of the data given above. Compare and interpret the two measures of central tendency.<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p style=\"text-align: justify;\"><strong>Ans. For Mode<\/strong>: In the given data, maximum frequency is 23 and it corresponds to the class interval 35 \u2013 45.<\/p>\n<p><img decoding=\"async\" style=\"height: 13px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.2\/image002.png\" \/> Modal class = 35 \u2013 45<\/p>\n<p>And <img decoding=\"async\" style=\"height: 24px; width: 193px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.2\/image003.png\" \/> and <img decoding=\"async\" style=\"height: 19px; width: 44px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.2\/image004.png\" \/><\/p>\n<p><img decoding=\"async\" style=\"height: 13px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.2\/image005.png\" \/> Mode = <img decoding=\"async\" style=\"height: 51px; width: 141px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.2\/image006.png\" \/><\/p>\n<p>= <img decoding=\"async\" style=\"height: 53px; width: 173px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.2\/image007.png\" \/><\/p>\n<p>= <img decoding=\"async\" style=\"height: 41px; width: 109px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.2\/image008.png\" \/><\/p>\n<p>= <img decoding=\"async\" style=\"height: 41px; width: 53px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.2\/image009.png\" \/><\/p>\n<p>= 35 + 1.8<\/p>\n<p>= 36.8<\/p>\n<p><strong>For Mean<\/strong>:<\/p>\n<p><img decoding=\"async\" id=\"Picture 8\" style=\"height: 201px; width: 542px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.2\/image010.png\" \/><\/p>\n<p>From given data, Assume mean <img decoding=\"async\" style=\"height: 27px; width: 25px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.2\/image011.png\" \/> = 30, Width of the class <img decoding=\"async\" style=\"height: 27px; width: 25px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.2\/image012.png\" \/> = 10<\/p>\n<p><img decoding=\"async\" style=\"height: 13px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.2\/image002.png\" \/> <img decoding=\"async\" style=\"height: 51px; width: 75px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.2\/image013.png\" \/> = <img decoding=\"async\" style=\"height: 41px; width: 83px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.2\/image014.png\" \/><\/p>\n<p>Using formula, Mean <img decoding=\"async\" style=\"height: 32px; width: 81px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.2\/image015.png\" \/> = 30 + 10 (0.5375) = 30 + 5.375 = 35.37<\/p>\n<p>Hence mode of given data is 36.8 years and mean of the given data is 35.37 years.<\/p>\n<p style=\"text-align: justify;\">Also, it is clear from above discussion that average age of a patient admitted in the hospital is 35.37 years and maximum number of patients admitted in the hospital are of age 36.8 years.<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 10 Maths Exercise 14.2<\/p>\n<h6 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"2_The_following_data_gives_the_information_on_the_observed_lifetimes_in_hours_of_225_electrical_components\"><\/span><strong>2. The following data gives the information on the observed lifetimes (in hours) of 225 electrical components:<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p style=\"text-align: justify;\"><strong><img decoding=\"async\" id=\"Picture 2\" style=\"height: 70px; width: 548px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.2\/image016.png\" \/><\/strong><\/p>\n<p><strong>Determine the modal lifetimes of the components.<\/strong><\/p>\n<p><strong>Ans. <\/strong>Given: Maximum frequency is 61 and it corresponds to the class interval 60 \u2013 80.<\/p>\n<p><img decoding=\"async\" style=\"height: 13px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.2\/image002.png\" \/> Modal class = 60 \u2013 80<\/p>\n<p>And <img decoding=\"async\" style=\"height: 24px; width: 195px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.2\/image017.png\" \/> and <img decoding=\"async\" style=\"height: 19px; width: 45px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.2\/image018.png\" \/><\/p>\n<p><img decoding=\"async\" style=\"height: 13px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.2\/image005.png\" \/> Mode = <img decoding=\"async\" style=\"height: 51px; width: 141px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.2\/image006.png\" \/><\/p>\n<p>= <img decoding=\"async\" style=\"height: 53px; width: 176px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.2\/image019.png\" \/><\/p>\n<p>= <img decoding=\"async\" style=\"height: 41px; width: 147px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.2\/image020.png\" \/><\/p>\n<p>= <img decoding=\"async\" style=\"height: 41px; width: 81px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.2\/image021.png\" \/><\/p>\n<p>= 60 + 5.625<\/p>\n<p>= 65.625<\/p>\n<p>Hence modal lifetimes of the components is 65.625 hours.<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 10 Maths Exercise 14.2<\/p>\n<h6 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"3_The_following_data_gives_the_distribution_of_total_monthly_household_expenditure_of_200_families_of_a_village_Find_the_modal_monthly_expenditure_of_the_families_Also_find_the_mean_monthly_expenditure\"><\/span><strong>3. The following data gives the distribution of total monthly household expenditure of 200 families of a village. Find the modal monthly expenditure of the families. Also find the mean monthly expenditure:<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p style=\"text-align: justify;\"><strong><img decoding=\"async\" id=\"Picture 3\" style=\"height: 180px; width: 337px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.2\/image022.png\" \/><\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>Ans. For Mode<\/strong>: Here, Maximum frequency is 40 and it corresponds to the class interval 1500 \u2013 2000.<\/p>\n<p><img decoding=\"async\" style=\"height: 13px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.2\/image002.png\" \/> Modal class = 1500 \u2013 2000<\/p>\n<p>And <img decoding=\"async\" style=\"height: 24px; width: 211px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.2\/image023.png\" \/> and <img decoding=\"async\" style=\"height: 19px; width: 53px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.2\/image024.png\" \/><\/p>\n<p><img decoding=\"async\" style=\"height: 13px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.2\/image005.png\" \/> Mode = <img decoding=\"async\" style=\"height: 51px; width: 141px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.2\/image006.png\" \/><\/p>\n<p>= <img decoding=\"async\" style=\"height: 53px; width: 200px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.2\/image025.png\" \/><\/p>\n<p>= <img decoding=\"async\" style=\"height: 41px; width: 163px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.2\/image026.png\" \/><\/p>\n<p>= <img decoding=\"async\" style=\"height: 41px; width: 82px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.2\/image027.png\" \/><\/p>\n<p>= 1500 + 347.83<\/p>\n<p>= 1847.83<\/p>\n<p style=\"text-align: justify;\"><strong>For Mean<\/strong>:<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" id=\"Picture 9\" style=\"height: 235px; width: 550px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.2\/image028.png\" \/><\/p>\n<p>From given data, Assume mean <img decoding=\"async\" style=\"height: 27px; width: 25px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.2\/image011.png\" \/> = 2750, Width of the class <img decoding=\"async\" style=\"height: 27px; width: 25px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.2\/image012.png\" \/> = 500<\/p>\n<p><img decoding=\"async\" style=\"height: 13px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.2\/image002.png\" \/> <img decoding=\"async\" style=\"height: 51px; width: 75px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.2\/image013.png\" \/> = <img decoding=\"async\" style=\"height: 41px; width: 92px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.2\/image029.png\" \/><\/p>\n<p>Using formula, Mean <img decoding=\"async\" style=\"height: 32px; width: 81px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.2\/image015.png\" \/> = 2750 + 500 (\u2013 0.175) = 2750 \u2013 87.50 = 2662.50<\/p>\n<p style=\"text-align: justify;\">Hence the modal monthly expenditure of family is Rs. 1847.83 and the mean monthly expenditure is Rs. 2662.50.<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 10 Maths Exercise 14.2<\/p>\n<h6 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"4_The_following_distribution_gives_the_state-wise_teacher-student_ratio_in_higher_secondary_schools_of_India_Find_the_mode_and_mean_of_this_data_Interpret_the_two_measures\"><\/span><strong>4. The following distribution gives the state-wise teacher-student ratio in higher secondary schools of India. Find the mode and mean of this data. Interpret the two measures.<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p style=\"text-align: justify;\"><strong><img decoding=\"async\" id=\"Picture 5\" style=\"height: 199px; width: 356px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.2\/image030.png\" \/><\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>Ans. For Mode<\/strong>: Here, Maximum frequency is 10 and it corresponds to the class interval 30 \u2013 35.<\/p>\n<p><img decoding=\"async\" style=\"height: 13px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.2\/image002.png\" \/> Modal class = 30 \u2013 35<\/p>\n<p>And <img decoding=\"async\" style=\"height: 24px; width: 178px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.2\/image031.png\" \/> and <img decoding=\"async\" style=\"height: 19px; width: 36px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.2\/image032.png\" \/><\/p>\n<p><img decoding=\"async\" style=\"height: 13px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.2\/image005.png\" \/> Mode = <img decoding=\"async\" style=\"height: 51px; width: 141px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.2\/image006.png\" \/> = <img decoding=\"async\" style=\"height: 53px; width: 151px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.2\/image033.png\" \/><\/p>\n<p>= <img decoding=\"async\" style=\"height: 41px; width: 102px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.2\/image034.png\" \/> = <img decoding=\"async\" style=\"height: 41px; width: 44px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.2\/image035.png\" \/> = 30 + 0.625 = 30.63 (approx.)<\/p>\n<p style=\"text-align: justify;\"><strong>For Mean<\/strong>:<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" id=\"Picture 10\" style=\"height: 237px; width: 557px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.2\/image036.png\" \/><\/p>\n<p>From given data, Assume mean <img decoding=\"async\" style=\"height: 27px; width: 25px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.2\/image011.png\" \/> = 32.5, Width of the class <img decoding=\"async\" style=\"height: 27px; width: 25px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.2\/image012.png\" \/> = 5<\/p>\n<p><img decoding=\"async\" style=\"height: 13px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.2\/image002.png\" \/> <img decoding=\"async\" style=\"height: 51px; width: 75px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.2\/image013.png\" \/> = <img decoding=\"async\" style=\"height: 41px; width: 84px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.2\/image037.png\" \/><\/p>\n<p>Using formula, Mean <img decoding=\"async\" style=\"height: 32px; width: 81px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.2\/image015.png\" \/> = 32.5 + 5 (\u2013 0.65) = 32.5 \u2013 3.25 = 29.25 (approx.)<\/p>\n<p style=\"text-align: justify;\">Hence mode and mean of given data is 30.63 and 29.25. Also from above discussion, it is clear that states\/U.T. have students per teacher is 30.63 and on average, this ratio is 29.25.<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 10 Maths Exercise 14.2<\/p>\n<h6 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"5_The_given_distribution_shows_the_number_of_runs_scored_by_some_top_batsmen_of_the_world_in_one-day_cricket_matches\"><\/span><strong>5. The given distribution shows the number of runs scored by some top batsmen of the world in one-day cricket matches:<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p style=\"text-align: justify;\"><strong><img decoding=\"async\" id=\"Picture 6\" style=\"height: 176px; width: 331px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.2\/image038.png\" \/><\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>Find mode of the data.<\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>Ans. <\/strong>In the given data, maximum frequency is 18 and it corresponds to the class interval 4000 \u2013 5000.<\/p>\n<p><img decoding=\"async\" style=\"height: 13px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.2\/image002.png\" \/> Modal class = 4000 \u2013 5000<\/p>\n<p>And <img decoding=\"async\" style=\"height: 24px; width: 195px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.2\/image039.png\" \/> and <img decoding=\"async\" style=\"height: 19px; width: 60px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.2\/image040.png\" \/><\/p>\n<p><img decoding=\"async\" style=\"height: 13px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.2\/image005.png\" \/> Mode = <img decoding=\"async\" style=\"height: 51px; width: 141px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.2\/image006.png\" \/><\/p>\n<p>= <img decoding=\"async\" style=\"height: 53px; width: 191px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.2\/image041.png\" \/><\/p>\n<p>= <img decoding=\"async\" style=\"height: 41px; width: 141px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.2\/image042.png\" \/><\/p>\n<p>= <img decoding=\"async\" style=\"height: 41px; width: 92px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.2\/image043.png\" \/><\/p>\n<p>= 4000 + 608.6956<\/p>\n<p>= 4608.7 (approx.)<\/p>\n<p style=\"text-align: justify;\">Hence, mode of the given data is 4608.7 runs.<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 10 Maths Exercise 14.2<\/p>\n<h6 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"6_A_student_noted_the_number_of_cars_passing_through_a_spot_on_a_road_for_100_periods_each_of_3_minutes_and_summarized_it_in_the_table_given_below\"><\/span><strong>6. A student noted the number of cars passing through a spot on a road for 100 periods each of 3 minutes and summarized it in the table given below:<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p style=\"text-align: justify;\"><strong><img decoding=\"async\" id=\"Picture 7\" style=\"height: 182px; width: 244px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.2\/image044.png\" \/><\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>Find the mode of the data.<\/strong><\/p>\n<p><strong>Ans. <\/strong>In the given data, maximum frequency is 20 and it corresponds to the class interval 40 \u2013 50.<\/p>\n<p><img decoding=\"async\" style=\"height: 13px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.2\/image002.png\" \/> Modal class = 40 \u2013 50<\/p>\n<p>And <img decoding=\"async\" style=\"height: 24px; width: 193px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.2\/image045.png\" \/> and <img decoding=\"async\" style=\"height: 19px; width: 44px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.2\/image004.png\" \/><\/p>\n<p><img decoding=\"async\" style=\"height: 13px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.2\/image005.png\" \/> Mode = <img decoding=\"async\" style=\"height: 51px; width: 141px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.2\/image006.png\" \/><\/p>\n<p>= <img decoding=\"async\" style=\"height: 53px; width: 172px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.2\/image046.png\" \/><\/p>\n<p>= <img decoding=\"async\" style=\"height: 41px; width: 110px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.2\/image047.png\" \/><\/p>\n<p>= <img decoding=\"async\" style=\"height: 41px; width: 53px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.2\/image048.png\" \/> = 40 + 4.70588 = 44.7 (approx.)<\/p>\n<p style=\"text-align: justify;\">Hence, mode of the given data is 44.7 cars.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"NCERT_Solutions_for_Class_10_Maths_Exercise_142\"><\/span>NCERT Solutions for Class 10 Maths Exercise 14.2<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>NCERT Solutions Class 10 Maths PDF (Download) Free from myCBSEguide app and myCBSEguide website. Ncert solution class 10 Maths includes text book solutions from Mathematics Book. NCERT Solutions for CBSE Class 10 Maths have total 15 chapters. 10 Maths NCERT Solutions in PDF for free Download on our website. Ncert Maths class 10 solutions PDF and Maths ncert class 10 PDF solutions with latest modifications and as per the latest CBSE syllabus are only available in myCBSEguide.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"CBSE_app_for_Class_10\"><\/span>CBSE app for Class 10<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>To download NCERT Solutions for Class 10 Maths, Computer Science, Home Science,Hindi ,English, Social Science do check myCBSEguide app or website. myCBSEguide provides sample papers with solution, test papers for chapter-wise practice, NCERT solutions, NCERT Exemplar solutions, quick revision notes for ready reference, CBSE guess papers and CBSE important question papers. Sample Paper all are made available through\u00a0<strong><a href=\"https:\/\/play.google.com\/store\/apps\/details?id=in.techchefs.MyCBSEGuide&amp;referrer=utm_source%3Dmycbse_bottom%26utm_medium%3Dtext%26utm_campaign%3Dmycbseads\">the best app for CBSE\u00a0<\/a><\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"<p>NCERT Solutions for Class 10 Maths Exercise 14.2 Class 10 Maths book solutions are available in PDF format for free download. These ncert book chapter wise questions and answers are very helpful for CBSE board exam. CBSE recommends NCERT books and most of the questions in CBSE exam are asked from NCERT text books. 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