{"id":4980,"date":"2016-05-19T11:49:00","date_gmt":"2016-05-19T06:19:00","guid":{"rendered":"http:\/\/mycbseguide.com\/blog\/ncert-solutions-class-9-maths-exercise-14-3\/"},"modified":"2018-06-19T12:07:50","modified_gmt":"2018-06-19T06:37:50","slug":"ncert-solutions-for-class-9-maths-exercise-14-3","status":"publish","type":"post","link":"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-9-maths-exercise-14-3\/","title":{"rendered":"NCERT Solutions for Class 9 Maths Exercise 14.3"},"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-14-3\/#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-14-3\/#1_A_survey_conducted_by_an_organization_for_the_cause_of_illness_and_death_among_the_women_between_the_ages_15_%E2%80%93_44_in_years_worldwide_found_the_following_figures_in\" >1. A survey conducted by an organization for the cause of illness and death among the women between the ages 15 \u2013 44 (in years) worldwide, found the following figures (in %):<\/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-14-3\/#2_The_following_data_on_the_number_of_girls_to_the_nearest_ten_per_thousand_boys_in_different_sections_of_Indian_Society_is_given_below\" >2. The following data on the number of girls (to the nearest ten) per thousand boys in different sections of Indian Society is given below:<\/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-14-3\/#3_Given_below_are_the_seats_won_by_different_political_parties_in_the_polling_outcome_of_a_state_assembly_elections\" >3. Given below are the seats won by different political parties in the polling outcome of a state assembly elections:<\/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-14-3\/#4_The_length_of_40_leaves_of_a_plant_are_measured_correct_to_one_millimeter_and_the_obtained_data_is_represented_in_the_following_table\" >4. The length of 40 leaves of a plant are measured correct to one millimeter and the obtained data is represented in the following table:<\/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-14-3\/#5_The_following_table_gives_the_life_times_of_400_neon_lamps\" >5. The following table gives the life times of 400 neon lamps:<\/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-14-3\/#6_The_following_table_gives_the_distribution_of_students_of_two_sections_according_to_the_marks_obtained_by_him\" >6. The following table gives the distribution of students of two sections according to the marks obtained by him:<\/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-14-3\/#Represent_the_marks_of_the_students_of_both_the_sections_on_the_same_graph_by_two_frequency_polygons_From_the_two_polygons_compare_the_performance_of_the_two_sections\" >Represent the marks of the students of both the sections on the same graph by two frequency polygons. From the two polygons compare the performance of the two sections.<\/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-9-maths-exercise-14-3\/#7_The_runs_scored_by_the_two_teams_A_and_B_in_the_first_60_balls_in_a_cricket_match_are_given_below\" >7. The runs scored by the two teams A and B in the first 60 balls in a cricket match are given below:<\/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-9-maths-exercise-14-3\/#8_A_random_survey_of_the_number_of_children_of_various_age_groups_playing_in_a_park_was_found_as_follows\" >8. A random survey of the number of children of various age groups playing in a park was found as follows:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-9-maths-exercise-14-3\/#9_100_surnames_were_randomly_picked_up_from_a_local_telephone_directory_and_a_frequency_distribution_of_the_number_of_letters_in_the_English_alphabet_in_the_surnames_was_found_as_follows\" >9. 100 surnames were randomly picked up from a local telephone directory and a frequency distribution of the number of letters in the English alphabet in the surnames was found as follows:<\/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-12\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-9-maths-exercise-14-3\/#NCERT_Solutions_for_Class_9_Maths_Exercise_143\" >NCERT Solutions for Class 9 Maths Exercise 14.3<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-13\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-9-maths-exercise-14-3\/#CBSE_app_for_Class_9\" >CBSE app for Class 9<\/a><\/li><\/ul><\/nav><\/div>\n<div class=\"addtoany_share_save_container addtoany_content addtoany_content_top\">\n<div class=\"a2a_kit a2a_kit_size_50 addtoany_list\" data-a2a-url=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-9-maths-exercise-14-1\/\" data-a2a-title=\"NCERT Solutions for Class 9 Maths Exercise 14.1\">NCERT Solutions for Class 9 Maths Exercise 14.3 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.<\/div>\n<\/div>\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<p><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 14.3\" width=\"183\" height=\"236\" \/><\/p>\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_A_survey_conducted_by_an_organization_for_the_cause_of_illness_and_death_among_the_women_between_the_ages_15_%E2%80%93_44_in_years_worldwide_found_the_following_figures_in\"><\/span><strong>1. A survey conducted by an organization for the cause of illness and death among the women between the ages 15 \u2013 44 (in years) worldwide, found the following figures (in %):<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p style=\"text-align: justify;\"><img decoding=\"async\" id=\"Picture 1\" style=\"height: 210px; width: 450px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch14\/Ex14.3\/image001.jpg\" \/><\/p>\n<p style=\"text-align: justify;\"><strong>(i) Represent the information given above graphically.<\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>(ii) Which condition is the major cause of women\u2019s ill health and death worldwide?<\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>(iii) Try to find out, with the help of your teacher, any two factors which play a major role in the cause in (ii) above being the major cause.<\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>Ans. (i) <\/strong>We represent the given information in the form of a bargraph. We construct the bar<\/p>\n<p style=\"text-align: justify;\">diagram through the following steps:<\/p>\n<p style=\"text-align: justify;\"><strong>Step 1<\/strong>. Draw two perpendicular axes OX and OY on a plain paper.<\/p>\n<p style=\"text-align: justify;\"><strong>Step 2<\/strong>. Along OX mark \u201cCauses\u201d and along OY \u201cFemale Fertility rate (%)\u201d.<\/p>\n<p style=\"text-align: justify;\"><strong>Step 3<\/strong>. Along OX, choose suitable width for each bar.<\/p>\n<p style=\"text-align: justify;\"><strong>Step 4<\/strong>. Along OY, choose an appropriate scale and mark the Female Fertility rate (%).<\/p>\n<p style=\"text-align: justify;\">Scale chosen: On y-axis: 1 large division, i.e. 1 cm = 5%<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" id=\"Picture 39\" style=\"height: 276px; width: 446px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch14\/Ex14.3\/image002.jpg\" \/><\/p>\n<p style=\"text-align: justify;\"><strong>(ii)<\/strong> From the bar graph we observe that sexual and reproductive health condition is the major cause of woman ill health and mortality worldwide.<\/p>\n<p style=\"text-align: justify;\"><strong>(iii)<\/strong> Two major factors for poor sexual &amp; reproductive health conditions are as follows:<\/p>\n<p style=\"text-align: justify;\"><strong>(a)<\/strong> Lack of awareness among women.<\/p>\n<p style=\"text-align: justify;\"><strong>(b)<\/strong> Lack of medical facilities.<\/p>\n<hr \/>\n<h6 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"2_The_following_data_on_the_number_of_girls_to_the_nearest_ten_per_thousand_boys_in_different_sections_of_Indian_Society_is_given_below\"><\/span><strong>2. The following data on the number of girls (to the nearest ten) per thousand boys in different sections of Indian Society is given below:<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p style=\"text-align: justify;\"><img decoding=\"async\" id=\"Picture 3\" style=\"height: 200px; width: 306px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch14\/Ex14.3\/image003.png\" \/><\/p>\n<p style=\"text-align: justify;\"><strong>(i) Represent the information above by a bar graph.<\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>(ii) In the classroom discuss what conclusions can be arrived at from the graph.<\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>Ans. (i) <\/strong>We represent the given information in the form of a bar graph. We construct the bar diagram through the following steps:<\/p>\n<p style=\"text-align: justify;\">Step 1. Draw two perpendicular axes OX and OY on a plane paper.<\/p>\n<p style=\"text-align: justify;\">Step 2. Along OX mark \u201cSection\u201d and along OY mark \u201cNumber of girls per thousand boys\u201d.<\/p>\n<p style=\"text-align: justify;\">Step 3. Along OX choose suitable width for each bar.<\/p>\n<p style=\"text-align: justify;\">Step 4. Along OY choose an appropriate scale. Here choose 1 large division = 100 girls<\/p>\n<p style=\"text-align: justify;\">Step 5. Calculate the heights of the various bars as follows:<\/p>\n<p style=\"text-align: justify;\"><strong>(a)<\/strong> Height of bar for Scheduled caste = <img decoding=\"async\" style=\"height: 41px; width: 65px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch14\/Ex14.3\/image004.png\" \/> = 9.4 large divisions<\/p>\n<p style=\"text-align: justify;\"><strong>(b)<\/strong> Height of bar for Scheduled tribe = <img decoding=\"async\" style=\"height: 41px; width: 65px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch14\/Ex14.3\/image005.png\" \/> = 9.7 large divisions<\/p>\n<p style=\"text-align: justify;\"><strong>(c)<\/strong> Height of bar for Non SC \/ ST = <img decoding=\"async\" style=\"height: 41px; width: 65px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch14\/Ex14.3\/image006.png\" \/> = 9.2 large divisions<\/p>\n<p style=\"text-align: justify;\"><strong>(d)<\/strong> Height of bar for Backward districts = <img decoding=\"async\" style=\"height: 41px; width: 65px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch14\/Ex14.3\/image007.png\" \/> = 9.5 large divisions<\/p>\n<p style=\"text-align: justify;\"><strong>(e)<\/strong> Height of bar for Non-Backward districts = <img decoding=\"async\" style=\"height: 41px; width: 65px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch14\/Ex14.3\/image006.png\" \/> = 9.2 large divisions<\/p>\n<p style=\"text-align: justify;\"><strong>(f)<\/strong> Height of bar for Rural = <img decoding=\"async\" style=\"height: 41px; width: 65px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch14\/Ex14.3\/image008.png\" \/> = 9.3 large divisions<\/p>\n<p style=\"text-align: justify;\"><strong>(g)<\/strong> Height of bar for Urban = <img decoding=\"async\" style=\"height: 41px; width: 65px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch14\/Ex14.3\/image009.png\" \/> = 9.1 large divisions<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 334px; width: 390px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch14\/Ex14.3\/image010.png\" \/><\/p>\n<p style=\"text-align: justify;\"><strong>(ii)<\/strong> From the graph we observe that in each section the number of girls are nearly same. We also observe that the number of girls in each section are less than the boys.<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 9 Maths Exercise 14.3<\/p>\n<h6 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"3_Given_below_are_the_seats_won_by_different_political_parties_in_the_polling_outcome_of_a_state_assembly_elections\"><\/span><strong>3. Given below are the seats won by different political parties in the polling outcome of a state assembly elections:<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p style=\"text-align: justify;\"><img decoding=\"async\" id=\"Picture 4\" style=\"height: 62px; width: 244px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch14\/Ex14.3\/image011.jpg\" \/><\/p>\n<p style=\"text-align: justify;\"><strong>(i) Draw a bar graph to represent the polling results.<\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>(ii) Which political party won the maximum number of seats?<\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>Ans. (i)<\/strong> The given information in the form of a bar graph which is drawn as follws:<\/p>\n<p style=\"text-align: justify;\">Scale chosen: On y-axis \u2013 1 large division, i.e. 1 cm = 10 seats<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" id=\"Picture 42\" style=\"height: 200px; width: 290px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch14\/Ex14.3\/image012.jpg\" \/><\/p>\n<p style=\"text-align: justify;\"><strong>(ii)<\/strong> Out of all won seats, 75 is the maximum. So party A has won maximum number of seats.<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 9 Maths Exercise 14.3<\/p>\n<h6 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"4_The_length_of_40_leaves_of_a_plant_are_measured_correct_to_one_millimeter_and_the_obtained_data_is_represented_in_the_following_table\"><\/span><strong>4. The length of 40 leaves of a plant are measured correct to one millimeter and the obtained data is represented in the following table:<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p style=\"text-align: justify;\"><img decoding=\"async\" id=\"Picture 5\" style=\"height: 183px; width: 216px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch14\/Ex14.3\/image013.png\" \/><\/p>\n<p style=\"text-align: justify;\"><strong>(i) Draw a histogram to represent the given data.<\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>(ii) Is there any other suitable graphical representation for the same data?<\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>(iii) Is it correct to conclude that the maximum number of leaves are 153 mm long? Why?<\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>Ans. (i)<\/strong> Let us find half the difference between lower limit of a class and upper limit of its proceeding class to make the continuous distribution.<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" id=\"Picture 6\" style=\"height: 167px; width: 349px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch14\/Ex14.3\/image014.jpg\" \/><\/p>\n<p style=\"text-align: justify;\">Representation of given data in the form of a histogram is as follows:<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" id=\"Picture 43\" style=\"height: 290px; width: 303px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch14\/Ex14.3\/image015.jpg\" \/><\/p>\n<p style=\"text-align: justify;\">Length of 40 leaves of a plant measured correct to one millimeter.<\/p>\n<p style=\"text-align: justify;\">Scale chosen: On y-axis \u2013 1 large division, i.e. 1 cm = 1 leave<\/p>\n<p style=\"text-align: justify;\"><strong>(ii)<\/strong> Yes, we can represent the given data by other graphical representation named as <strong>Frequency Polygon<\/strong> which is as follows:<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" id=\"Picture 7\" style=\"height: 158px; width: 509px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch14\/Ex14.3\/image016.jpg\" \/><\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" id=\"Picture 45\" style=\"height: 228px; width: 257px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch14\/Ex14.3\/image017.jpg\" \/><\/p>\n<p style=\"text-align: justify;\"><strong>(iii)<\/strong> No, because the maximum number 12 is corresponding to the class interval 145 -153 which implies that the leaves whose length are 145 mm or less than 153 mm are maximum in number.<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 9 Maths Exercise 14.3<\/p>\n<h6 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"5_The_following_table_gives_the_life_times_of_400_neon_lamps\"><\/span><strong>5. The following table gives the life times of 400 neon lamps:<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p style=\"text-align: justify;\"><img decoding=\"async\" id=\"Picture 8\" style=\"height: 206px; width: 249px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch14\/Ex14.3\/image018.png\" \/><\/p>\n<p style=\"text-align: justify;\"><strong>(i) Represent the given information with the help of a histogram.<\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>(ii) How many lamps have a life time of more than 700 hours?<\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>Ans. (i)<\/strong> Representation of the given in the form of histogram is as follows:<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" id=\"Picture 46\" style=\"height: 289px; width: 324px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch14\/Ex14.3\/image019.jpg\" \/><\/p>\n<p style=\"text-align: justify;\"><strong>(ii)<\/strong> Number of lamps having lifetime of more than 700 hours = 74 + 62 +48 = 184<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 9 Maths Exercise 14.3<\/p>\n<h6 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"6_The_following_table_gives_the_distribution_of_students_of_two_sections_according_to_the_marks_obtained_by_him\"><\/span><strong>6. The following table gives the distribution of students of two sections according to the marks obtained by him:<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p style=\"text-align: justify;\"><img decoding=\"async\" id=\"Picture 9\" style=\"height: 140px; width: 250px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch14\/Ex14.3\/image020.png\" \/><\/p>\n<h6 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"Represent_the_marks_of_the_students_of_both_the_sections_on_the_same_graph_by_two_frequency_polygons_From_the_two_polygons_compare_the_performance_of_the_two_sections\"><\/span><strong>Represent the marks of the students of both the sections on the same graph by two frequency polygons. From the two polygons compare the performance of the two sections.<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p style=\"text-align: justify;\"><strong>Ans. <\/strong>We plot the class-mark on x-axis and number of students on y-axis.<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" id=\"Picture 10\" style=\"height: 140px; width: 652px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch14\/Ex14.3\/image021.png\" \/><\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" id=\"Picture 47\" style=\"height: 281px; width: 279px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch14\/Ex14.3\/image022.jpg\" \/><\/p>\n<p style=\"text-align: justify;\">From the above graph, we observed that students of section A performed better because as we move right on x-axis the number of students are spread widely over greater marks as compared to the students of section A.<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 9 Maths Exercise 14.3<\/p>\n<h6 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"7_The_runs_scored_by_the_two_teams_A_and_B_in_the_first_60_balls_in_a_cricket_match_are_given_below\"><\/span><strong>7. The runs scored by the two teams A and B in the first 60 balls in a cricket match are given below:<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p style=\"text-align: justify;\"><img decoding=\"async\" id=\"Picture 11\" style=\"height: 229px; width: 249px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch14\/Ex14.3\/image023.png\" \/><\/p>\n<p style=\"text-align: justify;\"><strong>Represent the data of both the teams on the same graph by frequency polygons.<\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>Ans. <\/strong>New series of given data for plotting the frequency polygon:<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" id=\"Picture 12\" style=\"height: 220px; width: 400px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch14\/Ex14.3\/image024.png\" \/><\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" id=\"Picture 13\" style=\"height: 147px; width: 535px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch14\/Ex14.3\/image025.png\" \/><\/p>\n<p style=\"text-align: justify;\">Frequency polygon of team A and team B<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 304px; width: 352px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch14\/Ex14.3\/image026.png\" \/><\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 9 Maths Exercise 14.3<\/p>\n<h6 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"8_A_random_survey_of_the_number_of_children_of_various_age_groups_playing_in_a_park_was_found_as_follows\"><\/span><strong>8. A random survey of the number of children of various age groups playing in a park was found as follows:<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p style=\"text-align: justify;\"><img decoding=\"async\" id=\"Picture 14\" style=\"height: 192px; width: 248px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch14\/Ex14.3\/image027.png\" \/><\/p>\n<p style=\"text-align: justify;\"><strong>Draw a histogram to represent the data above.<\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>Ans. <\/strong>Here the classes are not of equal size. Here minimum class is 1, therefore<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" id=\"Picture 15\" style=\"height: 285px; width: 426px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch14\/Ex14.3\/image028.jpg\" \/><\/p>\n<p style=\"text-align: justify;\">The histogram using these lengths<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" id=\"Picture 49\" style=\"height: 286px; width: 309px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch14\/Ex14.3\/image029.jpg\" \/><\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 9 Maths Exercise 14.3<\/p>\n<h6 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"9_100_surnames_were_randomly_picked_up_from_a_local_telephone_directory_and_a_frequency_distribution_of_the_number_of_letters_in_the_English_alphabet_in_the_surnames_was_found_as_follows\"><\/span><strong>9. 100 surnames were randomly picked up from a local telephone directory and a frequency distribution of the number of letters in the English alphabet in the surnames was found as follows:<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p style=\"text-align: justify;\"><img decoding=\"async\" id=\"Picture 16\" style=\"height: 166px; width: 286px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch14\/Ex14.3\/image030.jpg\" \/><\/p>\n<p style=\"text-align: justify;\"><strong>(i) Draw a histogram to depict the given information.<\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>(ii) Write the class interval in which the maximum number of surnames lie.<\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>Ans. <\/strong>Here the classes are not of equal size. Here minimum class is 1, therefore<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" id=\"Picture 17\" style=\"height: 232px; width: 543px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch14\/Ex14.3\/image031.png\" \/><\/p>\n<p style=\"text-align: justify;\">The histogram using these lengths<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" id=\"Picture 50\" style=\"height: 283px; width: 377px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch14\/Ex14.3\/image032.jpg\" \/><\/p>\n<h2><span class=\"ez-toc-section\" id=\"NCERT_Solutions_for_Class_9_Maths_Exercise_143\"><\/span>NCERT Solutions for Class 9 Maths Exercise 14.3<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 14.3 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 14.3\" class=\"read-more\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-9-maths-exercise-14-3\/\" aria-label=\"More on NCERT Solutions for Class 9 Maths Exercise 14.3\">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-4980","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 14.3 | myCBSEguide<\/title>\n<meta name=\"description\" content=\"NCERT Solutions for Class 9 Maths Exercise 14.3 in PDF format for free download. 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