{"id":4943,"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-14-1\/"},"modified":"2023-03-22T15:20:11","modified_gmt":"2023-03-22T09:50:11","slug":"ncert-solutions-for-class-10-maths-exercise-14-1","status":"publish","type":"post","link":"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-10-maths-exercise-14-1\/","title":{"rendered":"NCERT Solutions for Class 10 Maths Exercise 14.1"},"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-14-1\/#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-14-1\/#1_A_survey_was_conducted_by_a_group_of_students_as_a_part_of_their_environment_awareness_programme_in_which_they_collected_the_following_data_regarding_the_number_of_plants_in_20_houses_in_a_locality_Find_the_mean_number_of_plants_per_house\" >1. A survey was conducted by a group of students as a part of their environment awareness programme, in which they collected the following data regarding the number of plants in 20 houses in a locality. Find the mean number of plants per house.<\/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-14-1\/#2_Consider_the_following_distribution_of_daily_wages_of_50_workers_of_a_factory\" >2. Consider the following distribution of daily wages of 50 workers of a factory.<\/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-14-1\/#3_The_following_distribution_shows_the_daily_pocket_allowance_of_children_of_a_locality_The_mean_pocket_allowance_is_Rs18_Find_the_missing_frequency\" >3. The following distribution shows the daily pocket allowance of children of a locality. The mean pocket allowance is Rs.18. Find the missing frequency<\/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-14-1\/#4_Thirty_women_were_examined_in_a_hospital_by_a_doctor_and_the_number_of_heart_beats_per_minute_were_recorded_and_summarized_as_follows\" >4. Thirty women were examined in a hospital by a doctor and the number of heart beats per minute were recorded and summarized as follows:<\/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-14-1\/#5_In_a_retail_market_fruit_vendors_were_selling_mangoes_kept_in_packing_boxes_These_boxes_contained_varying_number_mangoes_The_following_was_the_distribution_of_mangoes_according_to_the_number_of_boxes\" >5. In a retail market, fruit vendors were selling mangoes kept in packing boxes. These boxes contained varying number mangoes. The following was the distribution of mangoes according to the number of boxes.<\/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-14-1\/#6_The_table_below_shows_the_daily_expenditure_on_food_of_25_households_in_a_locality\" >6. The table below shows the daily expenditure on food of 25 households in a locality:<\/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-14-1\/#7_To_find_out_the_concentration_of_SO2_in_the_air_in_parts_per_million_ie_ppm_the_data_was_collected_for_30_localities_in_a_certain_city_and_is_presented_below\" >7. To find out the concentration of SO2 in the air (in parts per million, i.e., ppm), the data was collected for 30 localities in a certain city and is presented below:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-10-maths-exercise-14-1\/#8_A_class_teacher_has_the_following_absentee_record_of_40_students_of_a_class_for_the_whole_term_Find_the_mean_number_of_days_a_student_was_absent\" >8. A class teacher has the following absentee record of 40 students of a class for the whole term. Find the mean number of days a student was absent.<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-10-maths-exercise-14-1\/#9_The_following_table_gives_the_literacy_rate_in_percentage_of_35_cities_Find_the_mean_literacy_rate\" >9. The following table gives the literacy rate (in percentage) of 35 cities. Find the mean literacy rate.<\/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-11\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-10-maths-exercise-14-1\/#NCERT_Solutions_for_Class_10_Maths_Exercise_141\" >NCERT Solutions for Class 10 Maths Exercise 14.1<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-10-maths-exercise-14-1\/#CBSE_app_for_Class_10\" >CBSE app for Class 10<\/a><\/li><\/ul><\/nav><\/div>\n<p>NCERT Solutions for Class 10 Maths Exercise 14.1 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 14.1\" width=\"175\" height=\"216\" \/><\/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 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"1_A_survey_was_conducted_by_a_group_of_students_as_a_part_of_their_environment_awareness_programme_in_which_they_collected_the_following_data_regarding_the_number_of_plants_in_20_houses_in_a_locality_Find_the_mean_number_of_plants_per_house\"><\/span><strong>1. A survey was conducted by a group of students as a part of their environment awareness programme, in which they collected the following data regarding the number of plants in 20 houses in a locality. Find the mean number of plants per house.<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p style=\"text-align: justify;\"><strong><img decoding=\"async\" id=\"Picture 1\" style=\"height: 50px; width: 656px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.1\/image001.png\" \/><\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>Which method did you use for finding the mean and why?<\/strong><\/p>\n<p><strong>Ans. <\/strong>Since, number of plants and houses are small in their values, so we use direct method.<\/p>\n<p><img decoding=\"async\" id=\"Picture 3\" style=\"height: 220px; width: 530px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.1\/image002.png\" \/><\/p>\n<p>Mean <img decoding=\"async\" style=\"height: 51px; width: 128px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.1\/image003.png\" \/> = 8.1<\/p>\n<p>Hence mean number of plants per house is 8.1.<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 10 Maths Exercise 14.1<\/p>\n<h6 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"2_Consider_the_following_distribution_of_daily_wages_of_50_workers_of_a_factory\"><\/span><strong>2. Consider the following distribution of daily wages of 50 workers of a factory.<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p style=\"text-align: justify;\"><strong><img decoding=\"async\" id=\"Picture 2\" style=\"height: 51px; width: 594px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.1\/image004.png\" \/><\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>Find the mean daily wages of the workers of the factory by using an appropriate method.<\/strong><\/p>\n<p><strong>Ans. <\/strong><\/p>\n<p><img decoding=\"async\" id=\"Picture 5\" style=\"height: 184px; width: 554px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.1\/image005.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\/Ex14.1\/image006.png\" \/> = 150, 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\/Ex14.1\/image007.png\" \/> = 20<\/p>\n<p><img decoding=\"async\" style=\"height: 13px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.1\/image008.png\" \/> <img decoding=\"async\" style=\"height: 51px; width: 75px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.1\/image009.png\" \/> = <img decoding=\"async\" style=\"height: 41px; width: 85px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.1\/image010.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\/Ex14.1\/image011.png\" \/> = <img decoding=\"async\" style=\"height: 27px; width: 108px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.1\/image012.png\" \/> = 150 \u2013 4.8 = 145.2<\/p>\n<p>Hence mean daily wages of the workers of factory is Rs. 145.20.<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 10 Maths Exercise 14.1<\/p>\n<h6 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"3_The_following_distribution_shows_the_daily_pocket_allowance_of_children_of_a_locality_The_mean_pocket_allowance_is_Rs18_Find_the_missing_frequency\"><\/span><strong>3. The following distribution shows the daily pocket allowance of children of a locality. The mean pocket allowance is Rs.18. Find the missing frequency <img decoding=\"async\" style=\"height: 27px; width: 33px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.1\/image013.png\" \/> <\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p style=\"text-align: justify;\"><strong><img decoding=\"async\" id=\"Picture 6\" style=\"height: 74px; width: 658px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.1\/image014.png\" \/><\/strong><\/p>\n<p><strong>Ans. <\/strong><\/p>\n<p><img decoding=\"async\" id=\"Picture 8\" style=\"height: 221px; width: 603px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.1\/image015.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\/Ex14.1\/image006.png\" \/> = 18<\/p>\n<p><img decoding=\"async\" style=\"height: 13px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.1\/image008.png\" \/> <img decoding=\"async\" style=\"height: 51px; width: 111px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.1\/image016.png\" \/><\/p>\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.1\/image017.png\" \/> <img decoding=\"async\" style=\"height: 44px; width: 115px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.1\/image018.png\" \/><\/p>\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.1\/image017.png\" \/> <img decoding=\"async\" style=\"height: 44px; width: 81px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.1\/image019.png\" \/><\/p>\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.1\/image017.png\" \/> <img decoding=\"async\" style=\"height: 21px; width: 79px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.1\/image020.png\" \/><\/p>\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.1\/image017.png\" \/> <img decoding=\"async\" style=\"height: 21px; width: 56px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.1\/image021.png\" \/><\/p>\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.1\/image017.png\" \/> <img decoding=\"async\" style=\"height: 21px; width: 48px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.1\/image022.png\" \/><\/p>\n<p>Hence missing frequency is 20.<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 10 Maths Exercise 14.1<\/p>\n<h6 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"4_Thirty_women_were_examined_in_a_hospital_by_a_doctor_and_the_number_of_heart_beats_per_minute_were_recorded_and_summarized_as_follows\"><\/span><strong>4. Thirty women were examined in a hospital by a doctor and the number of heart beats per minute were recorded and summarized as follows:<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p style=\"text-align: justify;\"><strong><img decoding=\"async\" id=\"Picture 7\" style=\"height: 69px; width: 659px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.1\/image023.png\" \/><\/strong><\/p>\n<p><strong>Ans. <\/strong><\/p>\n<p><img decoding=\"async\" id=\"Picture 9\" style=\"height: 221px; width: 556px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.1\/image024.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\/Ex14.1\/image006.png\" \/> = 75.5, 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\/Ex14.1\/image007.png\" \/> = 3<\/p>\n<p><img decoding=\"async\" style=\"height: 13px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.1\/image008.png\" \/> <img decoding=\"async\" style=\"height: 51px; width: 75px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.1\/image009.png\" \/> = <img decoding=\"async\" style=\"height: 41px; width: 67px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.1\/image025.png\" \/> (approx.)<\/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\/Ex14.1\/image011.png\" \/> = 75.5 + 3 (0.13) = 75.5 + 0.39 = 78.89<\/p>\n<p>Hence mean heart beat per minute for women is 78.89.<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 10 Maths Exercise 14.1<\/p>\n<h6 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"5_In_a_retail_market_fruit_vendors_were_selling_mangoes_kept_in_packing_boxes_These_boxes_contained_varying_number_mangoes_The_following_was_the_distribution_of_mangoes_according_to_the_number_of_boxes\"><\/span><strong>5. In a retail market, fruit vendors were selling mangoes kept in packing boxes. These boxes contained varying number mangoes. The following was the distribution of mangoes according to the number of boxes.<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p style=\"text-align: justify;\"><strong><img decoding=\"async\" id=\"Picture 10\" style=\"height: 51px; width: 593px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.1\/image026.png\" \/><\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>Find the mean number of mangoes kept in a packing box. Which method of finding the mean did you choose?<\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>Ans. <\/strong>Since value of number of mangoes and number of boxes are large numerically. So we use step-deviation method.<\/p>\n<p><img decoding=\"async\" id=\"Picture 15\" style=\"height: 181px; width: 536px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.1\/image027.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\/Ex14.1\/image006.png\" \/> = 57, 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\/Ex14.1\/image007.png\" \/> = 3<\/p>\n<p><img decoding=\"async\" style=\"height: 13px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.1\/image008.png\" \/> <img decoding=\"async\" style=\"height: 51px; width: 75px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.1\/image009.png\" \/> = <img decoding=\"async\" style=\"height: 41px; width: 91px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.1\/image028.png\" \/> (approx.)<\/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\/Ex14.1\/image011.png\" \/> = 57 + 3 (0.0625) = 57 + 0.1875 = 57.1875 = 57.19 (approx.)<\/p>\n<p>Hence mean number of mangoes kept in a packing box is 57.19.<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 10 Maths Exercise 14.1<\/p>\n<h6 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"6_The_table_below_shows_the_daily_expenditure_on_food_of_25_households_in_a_locality\"><\/span><strong>6. The table below shows the daily expenditure on food of 25 households in a locality:<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p style=\"text-align: justify;\"><strong><img decoding=\"async\" id=\"Picture 11\" style=\"height: 87px; width: 595px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.1\/image029.png\" \/><\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>Find the mean daily expenditure on food by a suitable method.<\/strong><\/p>\n<p><strong>Ans. <\/strong><\/p>\n<p><img decoding=\"async\" id=\"Picture 16\" style=\"height: 181px; width: 568px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.1\/image030.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\/Ex14.1\/image006.png\" \/> = 225, 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\/Ex14.1\/image007.png\" \/> = 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\/Ex14.1\/image008.png\" \/> <img decoding=\"async\" style=\"height: 51px; width: 75px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.1\/image009.png\" \/> = <img decoding=\"async\" style=\"height: 41px; width: 77px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.1\/image031.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\/Ex14.1\/image011.png\" \/> = 225 + 50 (\u2013 0.28) = 225 \u2013 14 = 211<\/p>\n<p>Hence mean daily expenditure on food is Rs. 211.<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 10 Maths Exercise 14.1<\/p>\n<h6 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"7_To_find_out_the_concentration_of_SO2_in_the_air_in_parts_per_million_ie_ppm_the_data_was_collected_for_30_localities_in_a_certain_city_and_is_presented_below\"><\/span><strong>7. To find out the concentration of SO<sup>2<\/sup> in the air (in parts per million, i.e., ppm), the data was collected for 30 localities in a certain city and is presented below:<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p style=\"text-align: justify;\"><strong><img decoding=\"async\" id=\"Picture 12\" style=\"height: 86px; width: 671px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.1\/image032.png\" \/><\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>Find the mean concentration of SO<sup>2<\/sup> in the air.<\/strong><\/p>\n<p><strong>Ans. <\/strong><\/p>\n<p><img decoding=\"async\" id=\"Picture 17\" style=\"height: 212px; width: 521px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.1\/image033.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\/Ex14.1\/image006.png\" \/> = 0.10, 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\/Ex14.1\/image007.png\" \/> = 0.04<\/p>\n<p><img decoding=\"async\" style=\"height: 13px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.1\/image008.png\" \/> <img decoding=\"async\" style=\"height: 51px; width: 75px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.1\/image009.png\" \/> = <img decoding=\"async\" style=\"height: 41px; width: 83px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.1\/image034.png\" \/> (approx.)<\/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\/Ex14.1\/image011.png\" \/> = 0.10 + 0.04 (\u2013 0.033) = 0.10 \u2013 0.0013 = 0.0987 (approx.)<\/p>\n<p>Hence mean concentration of SO<sup>2<\/sup> in air is 0.0987 ppm.<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 10 Maths Exercise 14.1<\/p>\n<h6 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"8_A_class_teacher_has_the_following_absentee_record_of_40_students_of_a_class_for_the_whole_term_Find_the_mean_number_of_days_a_student_was_absent\"><\/span><strong>8. A class teacher has the following absentee record of 40 students of a class for the whole term. Find the mean number of days a student was absent.<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p style=\"text-align: justify;\"><strong><img decoding=\"async\" id=\"Picture 13\" style=\"height: 50px; width: 657px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.1\/image035.png\" \/><\/strong><\/p>\n<p><strong>Ans. <\/strong><\/p>\n<p><img decoding=\"async\" id=\"Picture 18\" style=\"height: 220px; width: 591px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.1\/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\/Ex14.1\/image006.png\" \/> = 17<\/p>\n<p><img decoding=\"async\" style=\"height: 13px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.1\/image008.png\" \/> <img decoding=\"async\" style=\"height: 51px; width: 111px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.1\/image016.png\" \/> = <img decoding=\"async\" style=\"height: 44px; width: 152px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.1\/image037.png\" \/> = 12.48<\/p>\n<p>Hence mean 12.48 number of days a student was absent.<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 10 Maths Exercise 14.1<\/p>\n<h6 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"9_The_following_table_gives_the_literacy_rate_in_percentage_of_35_cities_Find_the_mean_literacy_rate\"><\/span><strong>9. The following table gives the literacy rate (in percentage) of 35 cities. Find the mean literacy rate.<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p style=\"text-align: justify;\"><strong><img decoding=\"async\" id=\"Picture 14\" style=\"height: 68px; width: 507px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.1\/image038.png\" \/><\/strong><\/p>\n<p><strong>Ans. <\/strong><\/p>\n<p><img decoding=\"async\" id=\"Picture 19\" style=\"height: 181px; width: 525px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.1\/image039.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\/Ex14.1\/image006.png\" \/> = 70, 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\/Ex14.1\/image007.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\/Ex14.1\/image008.png\" \/> <img decoding=\"async\" style=\"height: 51px; width: 75px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.1\/image009.png\" \/> = <img decoding=\"async\" style=\"height: 41px; width: 85px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch14\/Ex14.1\/image040.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\/Ex14.1\/image011.png\" \/> = 70 + 10 (\u2013 0.057) = 70 \u2013 0.57 = 69.43<\/p>\n<p>Hence mean literacy rate is 69.43%.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"NCERT_Solutions_for_Class_10_Maths_Exercise_141\"><\/span>NCERT Solutions for Class 10 Maths Exercise 14.1<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 14.1 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 &#8230; <a title=\"NCERT Solutions for Class 10 Maths Exercise 14.1\" class=\"read-more\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-10-maths-exercise-14-1\/\" aria-label=\"More on NCERT Solutions for Class 10 Maths Exercise 14.1\">Read more<\/a><\/p>\n","protected":false},"author":1,"featured_media":30020,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1347,281],"tags":[1042,283,438,321,1485,216],"class_list":["post-4943","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-mathematics","category-ncert-solutions","tag-cbse-class-10-mathematics","tag-cbse-study-material","tag-class-10","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 10 Maths Exercise 14.1 | myCBSEguide<\/title>\n<meta name=\"description\" content=\"NCERT Solutions for Class 10 Maths Exercise 14.1 in PDF format for free download. 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