{"id":4979,"date":"2016-05-19T11:49:00","date_gmt":"2016-05-19T06:19:00","guid":{"rendered":"http:\/\/mycbseguide.com\/blog\/ncert-solutions-4\/"},"modified":"2018-06-19T12:17:34","modified_gmt":"2018-06-19T06:47:34","slug":"ncert-solutions-for-class-9-maths-exercise-14-4","status":"publish","type":"post","link":"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-9-maths-exercise-14-4\/","title":{"rendered":"NCERT Solutions for Class 9 Maths Exercise 14.4"},"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-9-maths-exercise-14-4\/#NCERT_Solutions_for_Class_9_Mathematics_Statistics\" >NCERT Solutions for Class 9 Mathematics Statistics<\/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-9-maths-exercise-14-4\/#1_The_following_number_of_goals_were_scored_by_a_team_in_a_series_of_10_matches\" >1. The following number of goals were scored by a team in a series of 10 matches:<\/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-9-maths-exercise-14-4\/#2_In_a_mathematics_test_given_to_15_students_the_following_marks_out_of_100_are_recorded\" >2. In a mathematics test given to 15 students, the following marks (out of 100) are recorded:<\/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-9-maths-exercise-14-4\/#3_The_following_observations_have_been_arranged_in_the_ascending_order_If_the_median_of_the_data_is_63_find_the_value_of\" >3. The following observations have been arranged in the ascending order. If the median of the data is 63, find the value of<\/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-9-maths-exercise-14-4\/#4_Find_the_mode_of_the_following_data_in_each_case\" >4. Find the mode of the following data in each case:<\/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-9-maths-exercise-14-4\/#5_Find_the_mean_salary_of_60_workers_of_a_factory_from_the_following_table\" >5. Find the mean salary of 60 workers of a factory from the following table:<\/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-9-maths-exercise-14-4\/#6_Give_an_example_of_a_situation_in_which\" >6. Give an example of a situation in which:<\/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-9-maths-exercise-14-4\/#From_above_example_we_conclude_that_mean_is_rigidly_defined_and_the_marks_1867_represent_the_performance_of_9_students_but_median_and_mode_are_not_so_rigidly_defined\" >From above example we conclude that mean is rigidly defined and the marks 18.67 represent the performance of 9 students, but median and mode are not so rigidly defined.<\/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-9-maths-exercise-14-4\/#NCERT_Solutions_for_Class_9_Maths_Exercise_144\" >NCERT Solutions for Class 9 Maths Exercise 14.4<\/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-9-maths-exercise-14-4\/#CBSE_app_for_Class_9\" >CBSE app for Class 9<\/a><\/li><\/ul><\/nav><\/div>\n<p>NCERT Solutions for Class 9 Maths Exercise 14.4 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 9 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 Class 9 Maths\u00a0<\/strong><strong>Statistics\u00a0<\/strong><strong><a class=\"button\" href=\"https:\/\/mycbseguide.com\/downloads\/cbse-class-09-mathematics-statistics\/1248\/ncert-solutions\/5\/\">Download as PDF<\/a><\/strong><\/p>\n<h2><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter\" src=\"https:\/\/media-mycbseguide.s3.ap-south-1.amazonaws.com\/images\/blog\/09_Class_Maths_Book.jpg\" alt=\"NCERT Solutions for Class 9 Maths Exercise 14.4\" width=\"165\" height=\"213\" \/><\/h2>\n<h2><span class=\"ez-toc-section\" id=\"NCERT_Solutions_for_Class_9_Mathematics_Statistics\"><\/span>NCERT Solutions for Class 9 Mathematics Statistics<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h6 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"1_The_following_number_of_goals_were_scored_by_a_team_in_a_series_of_10_matches\"><\/span><strong>1. The following number of goals were scored by a team in a series of 10 matches:<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p style=\"text-align: justify;\"><strong>2, 3, 4, 5, 0, 1, 3, 3, 4, 3<\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>Find the mean, median and mode of these scores.<\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>Ans. <\/strong>We know that, Mean = <img decoding=\"async\" style=\"height: 45px; width: 63px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch14\/Ex14.4\/image001.png\" \/><\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch14\/Ex14.4\/image002.png\" \/> <img decoding=\"async\" style=\"height: 41px; width: 232px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch14\/Ex14.4\/image003.png\" \/> = <img decoding=\"async\" style=\"height: 41px; width: 23px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch14\/Ex14.4\/image004.png\" \/> = 2.8<\/p>\n<p style=\"text-align: justify;\"><strong>For median<\/strong>,<\/p>\n<p style=\"text-align: justify;\">Arrange the given data in the ascending order, we get<\/p>\n<p style=\"text-align: justify;\">0, 1, 2, 3, 3, 3, 3, 4, 4, 5<\/p>\n<p style=\"text-align: justify;\">Here <img decoding=\"async\" style=\"height: 19px; width: 44px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch14\/Ex14.4\/image005.png\" \/> which is even in number.<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 13px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch14\/Ex14.4\/image006.png\" \/> Median = <img decoding=\"async\" style=\"height: 51px; width: 220px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch14\/Ex14.4\/image007.png\" \/><\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch14\/Ex14.4\/image002.png\" \/> Median = <img decoding=\"async\" style=\"height: 41px; width: 63px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch14\/Ex14.4\/image008.png\" \/> = 3<\/p>\n<p style=\"text-align: justify;\"><strong>For mode<\/strong><\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" id=\"Picture 1\" style=\"height: 51px; width: 452px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch14\/Ex14.4\/image009.png\" \/><\/p>\n<p style=\"text-align: justify;\">Here, Goal \u2013 3 has the maximum frequency is 4. Therefore, mode = 3<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 9 Maths Exercise 14.4<\/p>\n<h6 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"2_In_a_mathematics_test_given_to_15_students_the_following_marks_out_of_100_are_recorded\"><\/span><strong>2. In a mathematics test given to 15 students, the following marks (out of 100) are recorded:<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p style=\"text-align: justify;\"><strong>41, 39, 48, 52, 46, 62, 54, 40, 96, 52, 98, 40, 42, 52, 60<\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>Find the mean, median and mode of this data.<\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>Ans. <\/strong>We know that, Mean = <img decoding=\"async\" style=\"height: 45px; width: 63px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch14\/Ex14.4\/image001.png\" \/><\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch14\/Ex14.4\/image002.png\" \/> <img decoding=\"async\" style=\"height: 41px; width: 465px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch14\/Ex14.4\/image010.png\" \/><\/p>\n<p style=\"text-align: justify;\">= <img decoding=\"async\" style=\"height: 41px; width: 31px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch14\/Ex14.4\/image011.png\" \/> = 54.8<\/p>\n<p style=\"text-align: justify;\"><strong>For median<\/strong>,<\/p>\n<p style=\"text-align: justify;\">Arrange the given data in the ascending order, we get<\/p>\n<p style=\"text-align: justify;\">39, 40, 40, 41, 42, 46, 48, 52, 52, 52, 54, 60, 62, 96, 98<\/p>\n<p style=\"text-align: justify;\">Here <img decoding=\"async\" style=\"height: 19px; width: 43px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch14\/Ex14.4\/image012.png\" \/> which is odd in number.<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 13px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch14\/Ex14.4\/image006.png\" \/> Median = <img decoding=\"async\" style=\"height: 41px; width: 49px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch14\/Ex14.4\/image013.png\" \/> term = <img decoding=\"async\" style=\"height: 41px; width: 55px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch14\/Ex14.4\/image014.png\" \/> term = 8<sup>th<\/sup> observation<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch14\/Ex14.4\/image002.png\" \/> Median = 52<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch14\/Ex14.4\/image002.png\" \/> Median = <img decoding=\"async\" style=\"height: 41px; width: 63px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch14\/Ex14.4\/image008.png\" \/> = 3<\/p>\n<p style=\"text-align: justify;\"><strong>For mode<\/strong><\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" id=\"Picture 2\" style=\"height: 51px; width: 496px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch14\/Ex14.4\/image015.png\" \/><\/p>\n<p style=\"text-align: justify;\">Here, Marks \u2013 52 has the maximum frequency is 3. Therefore, mode = 52<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 9 Maths Exercise 14.4<\/p>\n<h6 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"3_The_following_observations_have_been_arranged_in_the_ascending_order_If_the_median_of_the_data_is_63_find_the_value_of\"><\/span><strong>3. The following observations have been arranged in the ascending order. If the median of the data is 63, find the value of <\/strong><img decoding=\"async\" style=\"height: 15px; width: 19px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch14\/Ex14.4\/image016.png\" \/><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p style=\"text-align: justify;\"><strong>29, 32, 48, 52, <img decoding=\"async\" style=\"height: 17px; width: 17px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch14\/Ex14.4\/image017.png\" \/> <img decoding=\"async\" style=\"height: 21px; width: 39px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch14\/Ex14.4\/image018.png\" \/> 72, 78, 84, 95<\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>Ans. <\/strong>Here number of observations = 10, which is an even number<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 13px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch14\/Ex14.4\/image006.png\" \/> Median = <img decoding=\"async\" style=\"height: 51px; width: 220px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch14\/Ex14.4\/image007.png\" \/><\/p>\n<p style=\"text-align: justify;\">= <img decoding=\"async\" style=\"height: 41px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch14\/Ex14.4\/image019.png\" \/> (5<sup>th<\/sup> term + 6<sup>th<\/sup> term)<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch14\/Ex14.4\/image002.png\" \/> 63 = <img decoding=\"async\" style=\"height: 41px; width: 60px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch14\/Ex14.4\/image020.png\" \/><\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch14\/Ex14.4\/image002.png\" \/> 63 = <img decoding=\"async\" style=\"height: 41px; width: 47px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch14\/Ex14.4\/image021.png\" \/><\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch14\/Ex14.4\/image002.png\" \/> 63 = <img decoding=\"async\" style=\"height: 44px; width: 57px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch14\/Ex14.4\/image022.png\" \/><\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch14\/Ex14.4\/image002.png\" \/> <img decoding=\"async\" style=\"height: 19px; width: 64px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch14\/Ex14.4\/image023.png\" \/><\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch14\/Ex14.4\/image002.png\" \/> <img decoding=\"async\" style=\"height: 19px; width: 45px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch14\/Ex14.4\/image024.png\" \/><\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 9 Maths Exercise 14.4<\/p>\n<h6 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"4_Find_the_mode_of_the_following_data_in_each_case\"><\/span><strong>4. Find the mode of the following data in each case:<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p style=\"text-align: justify;\"><strong>(i) 14, 25, 14, 28, 18, 17, 18, 14, 23, 22, 14, 18<\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>(ii) 7, 9, 12, 13, 7, 12, 15, 7, 12, 7, 25, 18, 7<\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>Ans. (i)<\/strong> Making a frequency table, we have<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" id=\"Picture 5\" style=\"height: 58px; width: 468px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch14\/Ex14.4\/image025.png\" \/><\/p>\n<p style=\"text-align: justify;\">Here the observation 14 has the maximum frequency 4.<\/p>\n<p style=\"text-align: justify;\">Therefore, mode = 14<\/p>\n<p style=\"text-align: justify;\"><strong>(ii)<\/strong> Making a frequency table, we have<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" id=\"Picture 3\" style=\"height: 62px; width: 471px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch14\/Ex14.4\/image026.png\" \/><\/p>\n<p style=\"text-align: justify;\">Here the observation 7 has the maximum frequency 5.<\/p>\n<p style=\"text-align: justify;\">Therefore, mode = 7<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 9 Maths Exercise 14.4<\/p>\n<h6 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"5_Find_the_mean_salary_of_60_workers_of_a_factory_from_the_following_table\"><\/span><strong>5. Find the mean salary of 60 workers of a factory from the following table:<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p style=\"text-align: justify;\"><img decoding=\"async\" id=\"Picture 6\" style=\"height: 199px; width: 302px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch14\/Ex14.4\/image027.png\" \/><\/p>\n<p style=\"text-align: justify;\"><strong>Ans. <\/strong><\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" id=\"Picture 7\" style=\"height: 218px; width: 458px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch14\/Ex14.4\/image028.png\" \/><\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 13px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch14\/Ex14.4\/image006.png\" \/> Mean <img decoding=\"async\" style=\"height: 45px; width: 87px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch14\/Ex14.4\/image029.png\" \/> = <img decoding=\"async\" style=\"height: 41px; width: 55px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch14\/Ex14.4\/image030.png\" \/> = 5083.33<\/p>\n<p style=\"text-align: justify;\">Hence the mean of salary is Rs. 5083.33<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 9 Maths Exercise 14.4<\/p>\n<h6 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"6_Give_an_example_of_a_situation_in_which\"><\/span><strong>6. Give an example of a situation in which:<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p style=\"text-align: justify;\"><strong>(i) the mean is an appropriate measure of central tendency.<\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>(ii) the mean is not an appropriate measure of central tendency but the median is an appropriate measure of central tendency.<\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>Ans. (i)<\/strong> Mean is the suitable measure of central tendency because every term is taken in<\/p>\n<p style=\"text-align: justify;\">calculation, it is effected by every item. It can further be subjected to algebraic treatment unlike other measures i.e. median and mode. As mean is rigidly defined, it is mostly used for comparing the various issues.<\/p>\n<p style=\"text-align: justify;\">For example, the marks obtained by the seven students are 10, 15, 14, 18, 26, 24, 20, 14 and 27.<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 13px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch14\/Ex14.4\/image006.png\" \/> Mean = <img decoding=\"async\" style=\"height: 41px; width: 287px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch14\/Ex14.4\/image031.png\" \/><\/p>\n<p style=\"text-align: justify;\">= <img decoding=\"async\" style=\"height: 41px; width: 29px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch14\/Ex14.4\/image032.png\" \/> = 18.67<\/p>\n<p style=\"text-align: justify;\">But median of 10, 15, 14, 18, 26, 24, 20, 14 and 27 is 18 and mode is 14.<\/p>\n<h6 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"From_above_example_we_conclude_that_mean_is_rigidly_defined_and_the_marks_1867_represent_the_performance_of_9_students_but_median_and_mode_are_not_so_rigidly_defined\"><\/span>From above example we conclude that mean is rigidly defined and the marks 18.67 represent the performance of 9 students, but median and mode are not so rigidly defined.<span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p style=\"text-align: justify;\"><strong>(ii)<\/strong> (a) Mean is much affected by the extreme value but median is not much affected by these<\/p>\n<p style=\"text-align: justify;\">extremes.<\/p>\n<p style=\"text-align: justify;\">For example, if there are 5 terms: 4, 7, 12, 18, 19<\/p>\n<p style=\"text-align: justify;\">Mean <img decoding=\"async\" style=\"height: 32px; width: 25px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch14\/Ex14.4\/image033.png\" \/> is 12 in this case and median is 12.<\/p>\n<p style=\"text-align: justify;\">If we add two values 450 and 1000 the new mean = <img decoding=\"async\" style=\"height: 41px; width: 205px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch14\/Ex14.4\/image034.png\" \/><\/p>\n<p style=\"text-align: justify;\">= <img decoding=\"async\" style=\"height: 41px; width: 37px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch14\/Ex14.4\/image035.png\" \/> = 215.7<\/p>\n<p style=\"text-align: justify;\">This is a big change as compared to the size of first five terms\u2019 mean but new median of 4, 7, 12, 18, 19, 450, 1000 is 18 which is not so much changed as compared to the size of first five terms\u2019 median.<\/p>\n<p style=\"text-align: justify;\">So we conclude that the mean misrepresents the result if extreme values are present in the data.<\/p>\n<p style=\"text-align: justify;\">(b) Sometimes mean gives impossible conclusion e.g. if there are 60, 50 and 42 students in three classes then mean number of students is <img decoding=\"async\" style=\"height: 41px; width: 83px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch14\/Ex14.4\/image036.png\" \/> = 50.67, which is impossible as students cannot be in fractions. But median of 42, 50 and 60 is 50.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"NCERT_Solutions_for_Class_9_Maths_Exercise_144\"><\/span>NCERT Solutions for Class 9 Maths Exercise 14.4<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>NCERT Solutions for Class 9 Maths PDF (Download) Free from myCBSEguide app and myCBSEguide website. Ncert solution class 9 Maths includes text book solutions from Mathematics Book. NCERT Solutions for CBSE Class 9 Maths have total 15 chapters. 9 Maths NCERT Solutions in PDF for free Download on our website. Ncert Maths class 9 solutions PDF and Maths ncert class 9 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_9\"><\/span>CBSE app for Class 9<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>To download NCERT Solutions for Class 9 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<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\"><strong>the best app for CBSE students<\/strong><\/a>\u00a0and myCBSEguide website.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>NCERT Solutions for Class 9 Maths Exercise 14.4 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 9 Maths chapter &#8230; <a title=\"NCERT Solutions for Class 9 Maths Exercise 14.4\" class=\"read-more\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-9-maths-exercise-14-4\/\" aria-label=\"More on NCERT Solutions for Class 9 Maths Exercise 14.4\">Read more<\/a><\/p>\n","protected":false},"author":1,"featured_media":-1,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1376,281],"tags":[283,1344,321,1485,216],"class_list":["post-4979","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-mathematics-cbse-class-09","category-ncert-solutions","tag-cbse-study-material","tag-class-9","tag-mathematics","tag-maths","tag-ncert-solutions"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.0 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>NCERT Solutions for Class 9 Maths Exercise 14.4 | myCBSEguide<\/title>\n<meta name=\"description\" content=\"NCERT Solutions for Class 9 Maths Exercise 14.4 in PDF format for free download. 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