{"id":72710,"date":"2021-02-08T13:36:23","date_gmt":"2021-02-08T08:06:23","guid":{"rendered":"https:\/\/www.kopykitab.com\/blog\/?p=72710"},"modified":"2021-02-08T13:36:31","modified_gmt":"2021-02-08T08:06:31","slug":"rd-sharma-chapter-22-class-9-maths-exercise-22-2-solutions","status":"publish","type":"post","link":"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-22-class-9-maths-exercise-22-2-solutions\/","title":{"rendered":"RD Sharma Chapter 22 Class 9 Maths Exercise 22.2 Solutions"},"content":{"rendered":"\n<p>RD Sharma Chapter 22 Class 9 Maths Exercise 22.2 Solutions is available now for the students. These solutions provided here for the class 9th students under the CBSE board have been prepared, keeping the present syllabus under the CBSE board in mind. It means these solutions can be extremely useful for the aspirants preparing for the examination. One can expect to score good marks upon practicing these questions as one can expect a very similar set of questions in the final examination.<\/p>\n<p>Before going for the RD Sharma Solutions for Class 9 Maths Chapter 22 Tabular Representation of Statistical Data Exercise 22.2, one needs to have clarity on \u2013 Cumulative frequency distribution. Questions in this exercise revolve around this concept. Here the students can get to know the modes of developing a cumulative frequency distribution table, where a set of data is provided.<\/p>\n<p>At the same time, solving the questions, these solutions can be helpful in terms of clearing the concepts of the students as well. Here the students can get greater clarity about the overall frequency distribution. It means those already having clarity over these concepts can find more confidence while exercising the questions.<\/p>\n<p><a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-9-maths-chapter-24-measure-of-central-tendency\/\" target=\"_blank\" rel=\"noopener noreferrer\"><strong>Learn about Class 9 Chapter 22 (Measure of Central Tendency)<\/strong><\/a><\/p>\n<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_47_1 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\">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=\"ez-toc-toggle-icon-1\"><label for=\"item-69da26aa63d04\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;direction:ltr;\"><svg style=\"fill: #000000;color:#000000\" 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: #000000;color:#000000\" 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><\/label><input  type=\"checkbox\" id=\"item-69da26aa63d04\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 eztoc-visibility-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:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-22-class-9-maths-exercise-22-2-solutions\/#download-rd-sharma-chapter-22-class-9-maths-exercise-222-solutions-pdf\" title=\"Download RD Sharma Chapter 22 Class 9 Maths Exercise 22.2 Solutions PDF\">Download RD Sharma Chapter 22 Class 9 Maths Exercise 22.2 Solutions PDF<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-22-class-9-maths-exercise-22-2-solutions\/#important-definitions-rd-sharma-chapter-22-class-9-maths-exercise-222-solutions\" title=\"Important Definitions RD Sharma Chapter 22 Class 9 Maths Exercise 22.2 Solutions\">Important Definitions RD Sharma Chapter 22 Class 9 Maths Exercise 22.2 Solutions<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-22-class-9-maths-exercise-22-2-solutions\/#examples-of-rd-sharma-chapter-22-class-9-maths-exercise-222-solutions\" title=\"Examples of RD Sharma Chapter 22 Class 9 Maths Exercise 22.2 Solutions\">Examples of RD Sharma Chapter 22 Class 9 Maths Exercise 22.2 Solutions<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-22-class-9-maths-exercise-22-2-solutions\/#frequently-asked-questions-of-rd-sharma-chapter-22-class-9-maths-exercise-222-solutions\" title=\"Frequently Asked Questions of RD Sharma Chapter 22 Class 9 Maths Exercise 22.2 Solutions\">Frequently Asked Questions of RD Sharma Chapter 22 Class 9 Maths Exercise 22.2 Solutions<\/a><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"download-rd-sharma-chapter-22-class-9-maths-exercise-222-solutions-pdf\"><\/span>Download RD Sharma Chapter 22 Class 9 Maths Exercise 22.2 Solutions PDF<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<div id=\"example1\" style=\"text-align: justify;\">\u00a0<\/div>\n<p style=\"text-align: justify;\"><style>\n.pdfobject-container { height: 500px;}<br \/>\n.pdfobject { border: 1px solid #666; }<br \/>\n<\/style><\/p>\n<p style=\"text-align: justify;\"><script src=\"https:\/\/www.kopykitab.com\/_utility\/js\/pdfobject.min.js\"><\/script><br \/><script>PDFObject.embed(\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/02\/Solutions-for-Class-9-Maths-Chapter-22-Tabular-Representation-of-Statistical-Data-Exercise-22.2.pdf\", \"#example1\");<\/script><\/p>\n<p><a href=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/02\/Solutions-for-Class-9-Maths-Chapter-22-Tabular-Representation-of-Statistical-Data-Exercise-22.2.pdf\">Solutions for Class 9 Maths Chapter 22 Tabular Representation of Statistical Data Exercise 22.2<\/a><\/p>\n<h2><span class=\"ez-toc-section\" id=\"important-definitions-rd-sharma-chapter-22-class-9-maths-exercise-222-solutions\"><\/span>Important Definitions RD Sharma Chapter 22 Class 9 Maths Exercise 22.2 Solutions<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>In a set of data or remarks, the cumulative frequency is used to plan the number of observations that lie over a specific observation. To calculate the cumulative frequency for a particular observation, the observation frequency is added to the total of frequencies of its predecessors. The last observation\u2019s cumulative frequency is the total of all the frequencies of the complete data set.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"examples-of-rd-sharma-chapter-22-class-9-maths-exercise-222-solutions\"><\/span>Examples of RD Sharma Chapter 22 Class 9 Maths Exercise 22.2 Solutions<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Ques- Following are the ages of the 360n patients getting medical treatment in a hospital on a day. Construct a cumulative frequency distribution from the below table.<\/p>\n<p><br \/><br \/><\/p>\n<table>\n<tbody>\n<tr>\n<td>\n<p><strong>Age (in years)<\/strong><\/p>\n<\/td>\n<td>\n<p><strong>Number of Patients<\/strong><\/p>\n<\/td>\n<\/tr>\n<tr>\n<td>\n<p>10-20<\/p>\n<\/td>\n<td>\n<p>90<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td>\n<p>20-30<\/p>\n<\/td>\n<td>\n<p>50<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td>\n<p>30-40<\/p>\n<\/td>\n<td>\n<p>60<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td>\n<p>40-50<\/p>\n<\/td>\n<td>\n<p>80<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td>\n<p>50-60<\/p>\n<\/td>\n<td>\n<p>50<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td>\n<p>60-70<\/p>\n<\/td>\n<td>\n<p>30<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>Solution- The ages of the 360 patients are mentioned below-<\/p>\n<p><br \/><br \/><\/p>\n<table>\n<tbody>\n<tr>\n<td>\n<p><strong>Ages (in a year)<\/strong><\/p>\n<\/td>\n<td>\n<p><strong>Frequency(f)<\/strong><\/p>\n<\/td>\n<td>\n<p><strong>Cumulative Frequency<\/strong><\/p>\n<\/td>\n<\/tr>\n<tr>\n<td>\n<p>10-20<\/p>\n<\/td>\n<td>\n<p>90<\/p>\n<\/td>\n<td>\n<p>90<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td>\n<p>20-30<\/p>\n<\/td>\n<td>\n<p>50<\/p>\n<\/td>\n<td>\n<p>140<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td>\n<p>30-40<\/p>\n<\/td>\n<td>\n<p>60<\/p>\n<\/td>\n<td>\n<p>200<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td>\n<p>40-50<\/p>\n<\/td>\n<td>\n<p>80<\/p>\n<\/td>\n<td>\n<p>280<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td>\n<p>50-60<\/p>\n<\/td>\n<td>\n<p>50<\/p>\n<\/td>\n<td>\n<p>330<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td>\n<p>60-70<\/p>\n<\/td>\n<td>\n<p>30<\/p>\n<\/td>\n<td>\n<p>360<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><strong>Ques- The points scored by 55 students in a test are given below:<\/strong><\/p>\n<table>\n<tbody>\n<tr>\n<td>\n<p><strong>Marks<\/strong><\/p>\n<\/td>\n<td>\n<p><strong>Number of Students<\/strong><\/p>\n<\/td>\n<\/tr>\n<tr>\n<td>\n<p>0-5<\/p>\n<\/td>\n<td>\n<p>2<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td>\n<p>5-10<\/p>\n<\/td>\n<td>\n<p>6<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td>\n<p>10-15<\/p>\n<\/td>\n<td>\n<p>13<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td>\n<p>15-20<\/p>\n<\/td>\n<td>\n<p>17<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td>\n<p>20-25<\/p>\n<\/td>\n<td>\n<p>11<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td>\n<p>25-30<\/p>\n<\/td>\n<td>\n<p>4<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td>\n<p>30-35<\/p>\n<\/td>\n<td>\n<p>2<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><strong>Make a cumulative frequency table.<\/strong><\/p>\n<p><strong>Solution<\/strong>&#8211; Cumulative frequency table from the provided data:<\/p>\n<table>\n<tbody>\n<tr>\n<td>\n<p><strong>Marks<\/strong><\/p>\n<\/td>\n<td>\n<p><strong>Number of Students<\/strong><\/p>\n<\/td>\n<td>\n<p><strong>Marks<\/strong><\/p>\n<\/td>\n<td>\n<p><strong>Cumulative Frequency<\/strong><\/p>\n<\/td>\n<\/tr>\n<tr>\n<td>\n<p>0-5<\/p>\n<\/td>\n<td>\n<p>2<\/p>\n<\/td>\n<td>\n<p>Less than 5<\/p>\n<\/td>\n<td>\n<p>2<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td>\n<p>5-10<\/p>\n<\/td>\n<td>\n<p>6<\/p>\n<\/td>\n<td>\n<p>Less than 10<\/p>\n<\/td>\n<td>\n<p>8<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td>\n<p>10-15<\/p>\n<\/td>\n<td>\n<p>13<\/p>\n<\/td>\n<td>\n<p>Less than 15<\/p>\n<\/td>\n<td>\n<p>21<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td>\n<p>15-20<\/p>\n<\/td>\n<td>\n<p>17<\/p>\n<\/td>\n<td>\n<p>Less than 20<\/p>\n<\/td>\n<td>\n<p>38<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td>\n<p>20-25<\/p>\n<\/td>\n<td>\n<p>11<\/p>\n<\/td>\n<td>\n<p>Less than 25<\/p>\n<\/td>\n<td>\n<p>49<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td>\n<p>25-30<\/p>\n<\/td>\n<td>\n<p>4<\/p>\n<\/td>\n<td>\n<p>Less than 30<\/p>\n<\/td>\n<td>\n<p>53<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td>\n<p>30-35<\/p>\n<\/td>\n<td>\n<p>2<\/p>\n<\/td>\n<td>\n<p>Less than 35<\/p>\n<\/td>\n<td>\n<p>55<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td>\n<p>&#8211;<\/p>\n<\/td>\n<td>\n<p>N= 55<\/p>\n<\/td>\n<td>\n<p>&#8211;<\/p>\n<\/td>\n<td>\n<p>&#8211;<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2><span class=\"ez-toc-section\" id=\"frequently-asked-questions-of-rd-sharma-chapter-22-class-9-maths-exercise-222-solutions\"><\/span>Frequently Asked Questions of RD Sharma Chapter 22 Class 9 Maths Exercise 22.2 Solutions<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>Ques- Define cumulative frequency distribution.<\/strong><\/p>\n<p><strong>Ans- <\/strong>A table that illustrates how cumulative frequencies are distributed over several classes.<\/p>\n<p><strong>Ques- Describe the difference between a frequency distribution and a cumulative frequency distribution.<\/strong><\/p>\n<p><strong>Ans- <\/strong>The frequency distribution is a way to represent raw data in the form from which one can clearly understand the information included in raw data, where a table that plays how cumulative frequencies are distributed over several classes is called a cumulative frequency distribution.<\/p>\n<p><a href=\"https:\/\/www.cbse.gov.in\/\" target=\"_blank\" rel=\"noopener noreferrer\"><strong>Know about CBSE Board<\/strong><\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>RD Sharma Chapter 22 Class 9 Maths Exercise 22.2 Solutions is available now for the students. These solutions provided here for the class 9th students under the CBSE board have been prepared, keeping the present syllabus under the CBSE board in mind. It means these solutions can be extremely useful for the aspirants preparing for &#8230; <a title=\"RD Sharma Chapter 22 Class 9 Maths Exercise 22.2 Solutions\" class=\"read-more\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-22-class-9-maths-exercise-22-2-solutions\/\" aria-label=\"More on RD Sharma Chapter 22 Class 9 Maths Exercise 22.2 Solutions\">Read more<\/a><\/p>\n","protected":false},"author":241,"featured_media":72711,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"","fifu_image_alt":""},"categories":[2985,2917,73719,73411,73410],"tags":[3081,3086,3085],"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/72710"}],"collection":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/users\/241"}],"replies":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/comments?post=72710"}],"version-history":[{"count":4,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/72710\/revisions"}],"predecessor-version":[{"id":73980,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/72710\/revisions\/73980"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media\/72711"}],"wp:attachment":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media?parent=72710"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/categories?post=72710"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/tags?post=72710"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}