{"id":72882,"date":"2021-02-08T13:36:30","date_gmt":"2021-02-08T08:06:30","guid":{"rendered":"https:\/\/www.kopykitab.com\/blog\/?p=72882"},"modified":"2021-02-18T13:52:33","modified_gmt":"2021-02-18T08:22:33","slug":"rd-sharma-chapter-23-class-9-maths-exercise-23-2-solutions","status":"publish","type":"post","link":"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-23-class-9-maths-exercise-23-2-solutions\/","title":{"rendered":"RD\u200c \u200cSharma\u200c \u200cChapter\u200c \u200c23 \u200cClass\u200c \u200c9\u200c \u200cMaths\u200c Exercise\u200c \u200c23.2 \u200cSolutions\u200c"},"content":{"rendered":"\n<p>RD\u200c \u200cSharma\u200c \u200cChapter\u200c \u200c23 \u200cClass\u200c \u200c9\u200c \u200cMaths\u200c Exercise\u200c \u200c23.2 \u200cSolutions Graphical Representation of Statistical Data is basically coming from the construction of bar graphs. It helps tests the knowledge of students regarding different bar graphs. It brings clarity to their concepts regarding the construction of the graphs.<\/p>\n<p>Those uninitiated, bar graph primarily is a pictorial representation of the data provided in numerical form in the form of bars of numbers of equal width standing vertically or horizontally, with uniform spacing between these. The best part about the bar graphs is that they provide the simplest way of studying and analyzing big data or details around it.<\/p>\n<p>RD\u200c \u200cSharma\u200c \u200cChapter\u200c \u200c23 \u200cClass\u200c \u200c9\u200c \u200cMaths\u200c Exercise\u200c \u200c23.2 \u200cSolutions can benefit the students in this context. It enables them to learn the concepts well and practicing the same. The easy and stepwise representation makes things more useful for the students. Practicing these questions can boost the fundamentals and hilt over bar graphs significantly.\u00a0<\/p>\n<p>At the same time, making things easier, it is useful for students in terms of solving problems quickly.<\/p>\n<p><a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-9-maths-chapter-23-graphical-representation-of-statistical-data\/\" target=\"_blank\" rel=\"noopener noreferrer\"><strong>Learn about RD Sharma Class 9 Chapter 23 (Graphical 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-69fdd956bbeb2\" 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-69fdd956bbeb2\"><\/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-23-class-9-maths-exercise-23-2-solutions\/#download-rd%e2%80%8c-%e2%80%8csharma%e2%80%8c-%e2%80%8cchapter%e2%80%8c-%e2%80%8c23-%e2%80%8cclass%e2%80%8c-%e2%80%8c9%e2%80%8c-%e2%80%8cmaths%e2%80%8c-exercise%e2%80%8c-%e2%80%8c232-%e2%80%8csolutions%e2%80%8c-pdf\" title=\"Download RD\u200c \u200cSharma\u200c \u200cChapter\u200c \u200c23 \u200cClass\u200c \u200c9\u200c \u200cMaths\u200c Exercise\u200c \u200c23.2 \u200cSolutions\u200c PDF\">Download RD\u200c \u200cSharma\u200c \u200cChapter\u200c \u200c23 \u200cClass\u200c \u200c9\u200c \u200cMaths\u200c Exercise\u200c \u200c23.2 \u200cSolutions\u200c 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-23-class-9-maths-exercise-23-2-solutions\/#important-definitions-rd%e2%80%8c-%e2%80%8csharma%e2%80%8c-%e2%80%8cchapter%e2%80%8c-%e2%80%8c23-%e2%80%8cclass%e2%80%8c-%e2%80%8c9%e2%80%8c-%e2%80%8cmaths%e2%80%8c-exercise%e2%80%8c-%e2%80%8c232-%e2%80%8csolutions%e2%80%8c\" title=\"Important Definitions RD\u200c \u200cSharma\u200c \u200cChapter\u200c \u200c23 \u200cClass\u200c \u200c9\u200c \u200cMaths\u200c Exercise\u200c \u200c23.2 \u200cSolutions\u200c\">Important Definitions RD\u200c \u200cSharma\u200c \u200cChapter\u200c \u200c23 \u200cClass\u200c \u200c9\u200c \u200cMaths\u200c Exercise\u200c \u200c23.2 \u200cSolutions\u200c<\/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-23-class-9-maths-exercise-23-2-solutions\/#bar-graph\" title=\"Bar Graph\">Bar Graph<\/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-23-class-9-maths-exercise-23-2-solutions\/#properties-of-bar-graph\" title=\"Properties of Bar Graph\">Properties of Bar Graph<\/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-23-class-9-maths-exercise-23-2-solutions\/#construction-of-a-bar-graph\" title=\"Construction of a Bar Graph\">Construction of a Bar Graph<\/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-23-class-9-maths-exercise-23-2-solutions\/#examples-of-rd%e2%80%8c-%e2%80%8csharma%e2%80%8c-%e2%80%8cchapter%e2%80%8c-%e2%80%8c23-%e2%80%8cclass%e2%80%8c-%e2%80%8c9%e2%80%8c-%e2%80%8cmaths%e2%80%8c-exercise%e2%80%8c-%e2%80%8c232-%e2%80%8csolutions\" title=\"Examples of RD\u200c \u200cSharma\u200c \u200cChapter\u200c \u200c23 \u200cClass\u200c \u200c9\u200c \u200cMaths\u200c Exercise\u200c \u200c23.2 \u200cSolutions\">Examples of RD\u200c \u200cSharma\u200c \u200cChapter\u200c \u200c23 \u200cClass\u200c \u200c9\u200c \u200cMaths\u200c Exercise\u200c \u200c23.2 \u200cSolutions<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"download-rd%e2%80%8c-%e2%80%8csharma%e2%80%8c-%e2%80%8cchapter%e2%80%8c-%e2%80%8c23-%e2%80%8cclass%e2%80%8c-%e2%80%8c9%e2%80%8c-%e2%80%8cmaths%e2%80%8c-exercise%e2%80%8c-%e2%80%8c232-%e2%80%8csolutions%e2%80%8c-pdf\"><\/span>Download RD\u200c \u200cSharma\u200c \u200cChapter\u200c \u200c23 \u200cClass\u200c \u200c9\u200c \u200cMaths\u200c Exercise\u200c \u200c23.2 \u200cSolutions\u200c 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-23-Graphical-Representation-of-Statistical-Data-Exercise-23.2.pdf\", \"#example1\");<\/script><\/p>\n<p><a href=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/02\/Solutions-for-Class-9-Maths-Chapter-23-Graphical-Representation-of-Statistical-Data-Exercise-23.2.pdf\">Solutions for Class 9 Maths Chapter 23 Graphical Representation of Statistical Data Exercise 23.2<\/a><\/p>\n<h2><span class=\"ez-toc-section\" id=\"important-definitions-rd%e2%80%8c-%e2%80%8csharma%e2%80%8c-%e2%80%8cchapter%e2%80%8c-%e2%80%8c23-%e2%80%8cclass%e2%80%8c-%e2%80%8c9%e2%80%8c-%e2%80%8cmaths%e2%80%8c-exercise%e2%80%8c-%e2%80%8c232-%e2%80%8csolutions%e2%80%8c\"><\/span>Important Definitions RD\u200c \u200cSharma\u200c \u200cChapter\u200c \u200c23 \u200cClass\u200c \u200c9\u200c \u200cMaths\u200c Exercise\u200c \u200c23.2 \u200cSolutions\u200c<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>This exercise is based on the Construction of Bar Graphs. Go down and see the import definitions with examples.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"bar-graph\"><\/span>Bar Graph<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><span style=\"font-weight: 400;\">It is the easiest representation of data, one between the other graphs. A bar graph is a graphical description of the data in the form of rectangular bars or columns of the same width.<\/span><\/p>\n<h3><span class=\"ez-toc-section\" id=\"properties-of-bar-graph\"><\/span><span style=\"font-weight: 400;\">Properties of Bar Graph<\/span><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<ul>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Each bar or column in a bar graph is of the same width.<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Every bar has a constant base.<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">The height (top) of the bar corresponds to the value of the data.<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">The distance among each bar is equivalent.<\/span><\/li>\n<\/ul>\n<h3><span class=\"ez-toc-section\" id=\"construction-of-a-bar-graph\"><\/span><span style=\"font-weight: 400;\">Construction of a Bar Graph<\/span><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<ol>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Draw two (2) perpendicular lines crossing each other at a point P. The vertical lines are the y-axis, and the horizontal is the x-axis.<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Pick a suitable scale to plot the height of each bar.<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">On the horizontal line, draw the bars at the same distance with corresponding heights.<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">The space among the bars should be similar.<\/span><\/li>\n<\/ol>\n<h3><span class=\"ez-toc-section\" id=\"examples-of-rd%e2%80%8c-%e2%80%8csharma%e2%80%8c-%e2%80%8cchapter%e2%80%8c-%e2%80%8c23-%e2%80%8cclass%e2%80%8c-%e2%80%8c9%e2%80%8c-%e2%80%8cmaths%e2%80%8c-exercise%e2%80%8c-%e2%80%8c232-%e2%80%8csolutions\"><\/span>Examples of RD\u200c \u200cSharma\u200c \u200cChapter\u200c \u200c23 \u200cClass\u200c \u200c9\u200c \u200cMaths\u200c Exercise\u200c \u200c23.2 \u200cSolutions<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>Ques: <\/strong>Explain the study and interpretation of bar graphs.<\/p>\n<p><strong>Solution:<\/strong> A bar graph consists of a sequence of vertical or horizontal bar rectangles or lines. Bar lines can be either horizontal or vertical. We can easily accumulate the information and conclude several observations from a given bar graph, which is associated with the interpretation of the bar graph.<\/p>\n<p><strong>Ques: Read the stated bar graph and answer the following questions-<\/strong><\/p>\n<p><strong>(A) What information is given through the bar graph?<\/strong><\/p>\n<p><strong>(B) In which year the export is least?<\/strong><\/p>\n<p><strong>(C) In which year the import is highest?<\/strong><\/p>\n<p><strong>(D) In which year the difference of the values of export and import is highest?<\/strong><\/p>\n<p><img class=\"alignnone size-full wp-image-72883\" src=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/02\/23.2-1.png\" alt=\"RD\u200c \u200cSharma\u200c \u200cChapter\u200c \u200c24 \u200cClass\u200c \u200c9\u200c \u200cMaths\u200c Exercise\u200c \u200c23.2 \u200cSolutions\u200c\" width=\"750\" height=\"820\" \/><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p><strong>(A)<\/strong> The bar graph depicts the import and export (in 100 Crores of rupees) from 1982-83 to 1986-87.<\/p>\n<p><strong>(B)<\/strong> 1982-83<\/p>\n<p><strong>(C)<\/strong> 1986-87<\/p>\n<p><strong>(D)<\/strong> 1986-87<\/p>\n<p><strong>Ques: The following bar graph presents the results of an annual exam in a secondary school. Read the bar graph mentioned below, and choose the correct alternative in each of the following:<\/strong><\/p>\n<p><strong>(A)The pair of classes in which the outcomes of boys and girls are inversely proportional is-<\/strong><\/p>\n<p><strong>(i) VI, VIII (ii) VI, IX (iii) VII, IX (iv) VIII, X<\/strong><\/p>\n<p><strong>(B) The class having the lowest failure rate of girls is-<\/strong><\/p>\n<p><strong>(i) VI (ii) X (iii) IX (iv) VIII<\/strong><\/p>\n<p><strong>(C) The class having the lowest pass rate of students is-<\/strong><\/p>\n<p><strong>(i) VI (ii) VII (iii) VIII (iv) IX<\/strong><\/p>\n<p><img class=\"alignnone size-full wp-image-72884\" src=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/02\/23.2-2.png\" alt=\"RD\u200c \u200cSharma\u200c \u200cChapter\u200c \u200c24 \u200cClass\u200c \u200c9\u200c \u200cMaths\u200c Exercise\u200c \u200c23.2 \u200cSolutions\u200c\" width=\"750\" height=\"746\" \/><\/p>\n<p><strong>Solution-<\/strong><\/p>\n<p><strong>(A)<\/strong> Option (ii) is correct.<\/p>\n<p><strong>(B)<\/strong> Option (i) is correct.<\/p>\n<p><strong>(C)<\/strong> Option (ii) is correct.<\/p>\n<p>The sum of heights of the bars for boys and girls in class VII = 95 + 40 = 135 (which is minimum)<\/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\u200c \u200cSharma\u200c \u200cChapter\u200c \u200c23 \u200cClass\u200c \u200c9\u200c \u200cMaths\u200c Exercise\u200c \u200c23.2 \u200cSolutions Graphical Representation of Statistical Data is basically coming from the construction of bar graphs. It helps tests the knowledge of students regarding different bar graphs. It brings clarity to their concepts regarding the construction of the graphs. Those uninitiated, bar graph primarily is a pictorial &#8230; <a title=\"RD\u200c \u200cSharma\u200c \u200cChapter\u200c \u200c23 \u200cClass\u200c \u200c9\u200c \u200cMaths\u200c Exercise\u200c \u200c23.2 \u200cSolutions\u200c\" class=\"read-more\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-23-class-9-maths-exercise-23-2-solutions\/\" aria-label=\"More on RD\u200c \u200cSharma\u200c \u200cChapter\u200c \u200c23 \u200cClass\u200c \u200c9\u200c \u200cMaths\u200c Exercise\u200c \u200c23.2 \u200cSolutions\u200c\">Read more<\/a><\/p>\n","protected":false},"author":241,"featured_media":72885,"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\/72882"}],"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=72882"}],"version-history":[{"count":4,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/72882\/revisions"}],"predecessor-version":[{"id":75524,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/72882\/revisions\/75524"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media\/72885"}],"wp:attachment":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media?parent=72882"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/categories?post=72882"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/tags?post=72882"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}