{"id":72716,"date":"2021-02-08T13:36:21","date_gmt":"2021-02-08T08:06:21","guid":{"rendered":"https:\/\/www.kopykitab.com\/blog\/?p=72716"},"modified":"2021-02-08T13:36:29","modified_gmt":"2021-02-08T08:06:29","slug":"rd-sharma-chapter-22-class-9-maths-exercise-22-1-solutions","status":"publish","type":"post","link":"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-22-class-9-maths-exercise-22-1-solutions\/","title":{"rendered":"RD Sharma Chapter 22 Class 9 Maths Exercise 22.1 Solutions"},"content":{"rendered":"\n<p>RD Sharma Chapter 22 Class 9 Maths Exercise 22.1 Solutions primarily covers the statistical details and the concepts of distribution of frequency. For those uninitiated, Frequency Distribution is an approach to providing data in an easy-to-understand way. There are two types of Frequency Distribution called Discrete Frequency Distribution and Continuous or Grouped Frequency Distribution. Exercise 22.1 is concerned under Chapter 22- Tabular Representation of Statistical Data.<\/p>\n<p>The attached PDF will help students practice the problem based on the Statistics Data, Presentation of Data, Frequency Distribution, etc. The RD Sharma Chapter 22 Class 9 Maths Exercise 22.1 Solutions PDF is prepared by our subject experts, which helps students score well in the exam with the solutions given in an easy method.<\/p>\n<p><a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-9-maths-chapter-22-tabular-representation-of-statistical-data\/\" target=\"_blank\" rel=\"noopener noreferrer\"><strong>Learn about RD Sharma Class 9 Chapter 22 (Tabular Representation of Statistical Data)<\/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-69e201067d2d0\" 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-69e201067d2d0\"><\/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-22-1-solutions\/#download-rd-sharma-chapter-22-class-9-maths-exercise-221-solutions-pdf\" title=\"Download RD Sharma Chapter 22 Class 9 Maths Exercise 22.1 Solutions PDF\">Download RD Sharma Chapter 22 Class 9 Maths Exercise 22.1 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-22-1-solutions\/#important-definition-rd-sharma-chapter-22-class-9-maths-exercise-221-solutions\" title=\"Important Definition RD Sharma Chapter 22 Class 9 Maths Exercise 22.1 Solutions\">Important Definition RD Sharma Chapter 22 Class 9 Maths Exercise 22.1 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-22-1-solutions\/#statistics-data\" title=\"Statistics data\">Statistics data<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-22-class-9-maths-exercise-22-1-solutions\/#frequency-distribution\" title=\"Frequency distribution\">Frequency distribution<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-22-class-9-maths-exercise-22-1-solutions\/#presentation-of-data\" title=\"Presentation of data\">Presentation of data<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-22-class-9-maths-exercise-22-1-solutions\/#construction-of-a-discrete-frequency-distribution\" title=\"Construction of a Discrete frequency distribution\">Construction of a Discrete frequency distribution<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-22-class-9-maths-exercise-22-1-solutions\/#construction-of-a-continuous-or-grouped-frequency-distribution\" title=\"Construction of a continuous or grouped frequency distribution\">Construction of a continuous or grouped frequency distribution<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-22-class-9-maths-exercise-22-1-solutions\/#give-meaning-of-the-following-terms\" title=\"Give Meaning of the following terms-\">Give Meaning of the following terms-<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-22-class-9-maths-exercise-22-1-solutions\/#examples-of-rd-sharma-chapter-22-class-9-maths-exercise-221-solutions\" title=\"Examples of RD Sharma Chapter 22 Class 9 Maths Exercise 22.1 Solutions\">Examples of RD Sharma Chapter 22 Class 9 Maths Exercise 22.1 Solutions<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-22-class-9-maths-exercise-22-1-solutions\/#frequently-asked-questions-faqs-of-rd-sharma-chapter-22-class-9-maths-exercise-221-solutions\" title=\"Frequently Asked Questions (FAQs) of RD Sharma Chapter 22 Class 9 Maths Exercise 22.1 Solutions\">Frequently Asked Questions (FAQs) of RD Sharma Chapter 22 Class 9 Maths Exercise 22.1 Solutions<\/a><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"download-rd-sharma-chapter-22-class-9-maths-exercise-221-solutions-pdf\"><\/span>Download RD Sharma Chapter 22 Class 9 Maths Exercise 22.1 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-22.1.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-22.1.pdf\">Solutions for Class 9 Maths Chapter 22 Tabular Representation of Statistical Data Exercise 22.1<\/a><\/p>\n<h2><span class=\"ez-toc-section\" id=\"important-definition-rd-sharma-chapter-22-class-9-maths-exercise-221-solutions\"><\/span>Important Definition RD Sharma Chapter 22 Class 9 Maths Exercise 22.1 Solutions<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Here are the following topics on which the RD Sharma Chapter 22 Class 9 Maths Exercise 22.1 Solutions are based on-<\/p>\n<ol>\n<li>Statistics data<\/li>\n<\/ol>\n<p>-Primary data<\/p>\n<p>-Secondary data<\/p>\n<ol>\n<li>Presentation of data<\/li>\n<li>Frequency distribution<\/li>\n<\/ol>\n<p>-Discrete frequency distribution<\/p>\n<p>\u2013 Continuous or grouped frequency distribution<\/p>\n<ol>\n<li>Construction of a Discrete frequency distribution<\/li>\n<li>Construction of a continuous or grouped frequency distribution<\/li>\n<\/ol>\n<h3><span class=\"ez-toc-section\" id=\"statistics-data\"><\/span><strong>Statistics data<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Data are a distinct set of facts or information kept or utilized for analytic purposes. Based on data, statistics is developed. In short, statistical data is the outcome of analyzing the raw data.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"frequency-distribution\"><\/span><strong>Frequency distribution<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>The frequency distribution is an overall analysis of the entire set of individual values in certain variables and the number of times it appears. It is primarily meant for the summarization of variables of different categories.\u00a0<\/p>\n<h3><span class=\"ez-toc-section\" id=\"presentation-of-data\"><\/span><strong>Presentation of data<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>It can be understood as presenting data in the desired format.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"construction-of-a-discrete-frequency-distribution\"><\/span><strong>Construction of a Discrete frequency distribution<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Discrete data are prepared upon counting exactly every single observation. The number of times the repetition of observation occurs is the frequency of the observation.\u00a0<\/p>\n<h3><span class=\"ez-toc-section\" id=\"construction-of-a-continuous-or-grouped-frequency-distribution\"><\/span><strong>Construction of a continuous or grouped frequency distribution<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>The continuous frequency distribution is the mode of value arrangement upon taking one or multiple variables. The grouped frequency distribution is represented in graphical format through Histograms.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"give-meaning-of-the-following-terms\"><\/span><strong>Give Meaning of the following terms-<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>(a) Frequency<\/strong><\/p>\n<p><strong>(b) Class-interval<\/strong><\/p>\n<p><strong>(c) Class-size<\/strong><\/p>\n<p><strong>(d) Class-mark<\/strong><\/p>\n<p><strong>(e) Variate<\/strong><\/p>\n<p><strong>(f) Class limits<\/strong><\/p>\n<p><strong>(g)True class limits<\/strong><\/p>\n<p><strong>Answers-<\/strong><\/p>\n<p><strong>(a) <\/strong>Frequency- The no of observations corresponding to the class.<\/p>\n<p><strong>(b) <\/strong>Class-interval- In the data of every group in which raw data is concerned.<\/p>\n<p><strong>(c) <\/strong>Class-size- The difference between the upper limit and the lower limit.<\/p>\n<p><strong>(d) <\/strong>Class-mark- The middle value of the chosen class.<\/p>\n<p>It can be calculated as-<\/p>\n<p>Class-mark = (Upper limit + Lower limit) \/2<\/p>\n<p><strong>(e) <\/strong>Variate- Any number that can vary from one person to another.\u00a0<\/p>\n<p><strong>(f) <\/strong>Class limits- Each class is bounded by 2 figures, named the class limits. The figure on the right side is called the upper limit, while the figure on the left side of the class is named the lower limit.<\/p>\n<p><strong>(g)<\/strong>True class limits-<\/p>\n<p>If classes are inclusive, for example, 5-9, 10-14, 15-19, and so on.<\/p>\n<p>Then, the true lower limit of class=Lower limit of class \u2013 0.5<\/p>\n<p>And, the true upper limit of class=Upper limit of class + 0.5<\/p>\n<p>In this case, the True limits of the class are 5-9 are 4.5 and 9.5<\/p>\n<p>If classes are exclusive, like 20-30, 30-40, 40-50, and so on, class limits and true class limits are the same.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"examples-of-rd-sharma-chapter-22-class-9-maths-exercise-221-solutions\"><\/span><strong>Examples of RD Sharma Chapter 22 Class 9 Maths Exercise 22.1 Solutions<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>Ques- The ages of ten students in a group are given below. The ages have been recorded in years and months-<\/strong><\/p>\n<p><strong>8 \u2013 6, 9 \u2013 0, 8 \u2013 4, 9 \u2013 3, 7 \u2013 8, 8 \u2013 11, 8 \u2013 7, 9 \u2013 2, 7 \u2013 10, 8 \u2013 8<\/strong><\/p>\n<p><strong>(a) What is the highest age?<\/strong><\/p>\n<p><strong>(b) What is the lowest age?<\/strong><\/p>\n<p><strong>(c) Determine the range?<\/strong><\/p>\n<p><strong>Solution-<\/strong><\/p>\n<p>The ages of ten students in a group are-<\/p>\n<p>8 \u2013 6, 9 \u2013 0, 8 \u2013 4, 9 \u2013 3, 7 \u2013 8, 8 \u2013 11, 8 \u2013 7, 9 \u2013 2, 7 \u2013 10, 8 \u2013 8.<\/p>\n<p><strong>(a) <\/strong>Highest age = 9 years 3 months<\/p>\n<p><strong>(b) <\/strong>Lowest age = 7 years 8 months<\/p>\n<p><strong>(c) <\/strong>Range = Highest age \u2013 Lowest age<\/p>\n<p>= (9 years 3 months) \u2013 (7 years 8 months)<\/p>\n<p>= 1 year 7 months<\/p>\n<h2><span class=\"ez-toc-section\" id=\"frequently-asked-questions-faqs-of-rd-sharma-chapter-22-class-9-maths-exercise-221-solutions\"><\/span>Frequently Asked Questions (FAQs) of RD Sharma Chapter 22 Class 9 Maths Exercise 22.1 Solutions<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>Ques- What is the importance of presenting the data in graphical or tabular representation?<\/strong><\/p>\n<p><strong>Ans- <\/strong>A table helps represent even large numbers of data in an attractive, simple to read, and systematic manner. The data is managed in rows and columns. This is one of the most widely used data presentation methods since data tables are simple to construct and understand.<\/p>\n<p><strong>Ques- What is the tabular method in statistics?<\/strong><\/p>\n<p><strong>Ans-<\/strong> The most commonly used tabular report of data for a single variable is a frequency distribution. A frequency distribution presents the number of data values in any of several non-overlapping classes.<\/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 22.1 Solutions primarily covers the statistical details and the concepts of distribution of frequency. For those uninitiated, Frequency Distribution is an approach to providing data in an easy-to-understand way. There are two types of Frequency Distribution called Discrete Frequency Distribution and Continuous or Grouped Frequency Distribution. Exercise &#8230; <a title=\"RD Sharma Chapter 22 Class 9 Maths Exercise 22.1 Solutions\" class=\"read-more\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-22-class-9-maths-exercise-22-1-solutions\/\" aria-label=\"More on RD Sharma Chapter 22 Class 9 Maths Exercise 22.1 Solutions\">Read more<\/a><\/p>\n","protected":false},"author":241,"featured_media":72717,"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\/72716"}],"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=72716"}],"version-history":[{"count":3,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/72716\/revisions"}],"predecessor-version":[{"id":73979,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/72716\/revisions\/73979"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media\/72717"}],"wp:attachment":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media?parent=72716"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/categories?post=72716"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/tags?post=72716"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}