{"id":124945,"date":"2021-09-09T19:13:13","date_gmt":"2021-09-09T13:43:13","guid":{"rendered":"https:\/\/www.kopykitab.com\/blog\/?p=124945"},"modified":"2021-09-09T19:13:54","modified_gmt":"2021-09-09T13:43:54","slug":"rd-sharma-class-9-solutions-chapter-22-exercise-22-1","status":"publish","type":"post","link":"https:\/\/www.kopykitab.com\/blog\/rd-sharma-class-9-solutions-chapter-22-exercise-22-1\/","title":{"rendered":"RD Sharma Class 9 Solutions Chapter 22 Exercise 22.1 (Updated for 2021-22)"},"content":{"rendered":"\n<p><img class=\"alignnone size-full wp-image-126133\" src=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/09\/RD-Sharma-Class-9-Solutions-Chapter-22-Exercise-22.1.jpg\" alt=\"RD Sharma Class 9 Solutions Chapter 22 Exercise 22.1\" width=\"1200\" height=\"675\" srcset=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/09\/RD-Sharma-Class-9-Solutions-Chapter-22-Exercise-22.1.jpg 1200w, https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/09\/RD-Sharma-Class-9-Solutions-Chapter-22-Exercise-22.1-768x432.jpg 768w\" sizes=\"(max-width: 1200px) 100vw, 1200px\" \/><\/p>\n<p><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;RD Sharma Class 9 Solutions Chapter 22 Exercise 22.1&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:4540,&quot;5&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:[null,2,0]},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;6&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:[null,2,0]},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;7&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:[null,2,0]},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;8&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:[null,2,0]},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;10&quot;:2,&quot;11&quot;:0,&quot;15&quot;:&quot;Arial&quot;}\"><strong>RD Sharma Class 9 Solutions Chapter 22 Exercise 22.1<\/strong>: You can download <a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-9-maths-chapter-22-tabular-representation-of-statistical-data\/\" target=\"_blank\" rel=\"noopener\">RD Sharma Class 9 Solutions Chapter 22<\/a> Exercise 22.1 in this article. The solution is created in detail by our experts. These solutions will be of great benefit to you in your Class 9 math exam. You don\u2019t need to turn the pages to find the answer, a free PDF is provided below.<\/span><\/p>\n<ul>\n<li><a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-class-9-solutions-for-maths\/\" target=\"_blank\" rel=\"noopener\"><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;RD Sharma Class 9 Maths Solutions&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:4540,&quot;5&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:[null,2,0]},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;6&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:[null,2,0]},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;7&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:[null,2,0]},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;8&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:[null,2,0]},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;10&quot;:2,&quot;11&quot;:0,&quot;15&quot;:&quot;Arial&quot;}\">RD Sharma Class 9 Maths Solutions<\/span><\/a><\/li>\n<\/ul>\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-69d062be3aa16\" 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\" 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href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-class-9-solutions-chapter-22-exercise-22-1\/#access-rd-sharma-class-9-solutions-chapter-22-exercise-221\" title=\"Access RD Sharma Class 9 Solutions Chapter 22 Exercise 22.1\u00a0\">Access RD Sharma Class 9 Solutions Chapter 22 Exercise 22.1\u00a0<\/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-class-9-solutions-chapter-22-exercise-22-1\/#faq-rd-sharma-class-9-solutions-chapter-22-exercise-221\" title=\"FAQ: RD Sharma Class 9 Solutions Chapter 22 Exercise 22.1\">FAQ: RD Sharma Class 9 Solutions Chapter 22 Exercise 22.1<\/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-class-9-solutions-chapter-22-exercise-22-1\/#can-i-download-rd-sharma-class-9-solutions-chapter-22-exercise-221-pdf-free\" title=\"Can I download RD Sharma Class 9 Solutions Chapter 22 Exercise 22.1 PDF free?\">Can I download RD Sharma Class 9 Solutions Chapter 22 Exercise 22.1 PDF free?<\/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-class-9-solutions-chapter-22-exercise-22-1\/#what-are-the-benefits-of-studying-from-rd-sharma-class-9-solutions-chapter-22-exercise-221\" title=\"What are the benefits of studying from RD Sharma Class 9 Solutions Chapter 22 Exercise 22.1?\">What are the benefits of studying from RD Sharma Class 9 Solutions Chapter 22 Exercise 22.1?<\/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-class-9-solutions-chapter-22-exercise-22-1\/#can-i-open-rd-sharma-class-9-solutions-chapter-22-exercise-221-pdf-on-my-smartphone\" title=\"Can I open RD Sharma Class 9 Solutions Chapter 22 Exercise 22.1 PDF on my smartphone?\">Can I open RD Sharma Class 9 Solutions Chapter 22 Exercise 22.1 PDF on my smartphone?<\/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-class-9-solutions-chapter-22-exercise-22-1\/#is-rd-sharma-enough-for-class-12-maths\" title=\"Is RD Sharma enough for Class 12 Maths?\">Is RD Sharma enough for Class 12 Maths?<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"download-rd-sharma-class-9-solutions-chapter-22-exercise-221\"><\/span>Download <span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;RD Sharma Class 9 Solutions Chapter 22 Exercise 22.1&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:4540,&quot;5&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:[null,2,0]},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;6&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:[null,2,0]},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;7&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:[null,2,0]},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;8&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:[null,2,0]},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;10&quot;:2,&quot;11&quot;:0,&quot;15&quot;:&quot;Arial&quot;}\">RD Sharma Class 9 Solutions Chapter 22 Exercise 22.1<\/span><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\/09\/22.1-1.pdf\", \"#example1\");<\/script><\/p>\n<p><a href=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/09\/22.1-1.pdf\" target=\"_blank\" rel=\"noopener\">RD Sharma Class 9 Solutions Chapter 22 Exercise 22.1<\/a><\/p>\n<h2><span class=\"ez-toc-section\" id=\"access-rd-sharma-class-9-solutions-chapter-22-exercise-221\"><\/span>Access <span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;RD Sharma Class 9 Solutions Chapter 22 Exercise 22.1&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:4540,&quot;5&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:[null,2,0]},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;6&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:[null,2,0]},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;7&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:[null,2,0]},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;8&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:[null,2,0]},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;10&quot;:2,&quot;11&quot;:0,&quot;15&quot;:&quot;Arial&quot;}\">RD Sharma Class 9 Solutions Chapter 22 Exercise 22.1\u00a0<\/span><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>Question 1: What do you understand by the word \u201cstatistics\u201d in:<\/strong><\/p>\n<p><strong>(i) singular form (ii) plural form?<\/strong><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p>The word statistics is used in both its singular and plural senses.<\/p>\n<p><strong>(i)<\/strong>\u00a0In singular sense, statistics may be defined as science of collection, presentation, analysis and interpretation of numerical data.<\/p>\n<p><strong>(ii)<\/strong>\u00a0In plural sense, statistics means numerical facts or observations collected with definite purpose.<\/p>\n<p><strong>Question 2: Describe some fundamental characteristics of statistics.<\/strong><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p>Below are some of the fundamental characteristics:<\/p>\n<p>(1) Statistics are collected with definite purpose.<\/p>\n<p>(2) Statistics are expressed quantitatively not qualitatively.<\/p>\n<p>(3) Statistics in an experiment are comparable and can be classified into different groups.<\/p>\n<p><strong>Question 3: What are (i) primary data (ii) secondary data? Which of the two\u2014the primary or the secondary data\u2014is more reliable and why?<\/strong><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p><strong>(i)<\/strong>\u00a0Primary data: When an investigator collects row data with a definite plan without using existed sources is called primary data.<\/p>\n<p><strong>(ii)<\/strong>Secondary data: Data which is obtained from other published or unpublished sources is called secondary data.<\/p>\n<p>Secondary data are collected by an individual or an institution for some purpose and are used by someone else in another context.<\/p>\n<p>Primary data are reliable and relevant because it is original in character and are collected by some individuals or by research bodies.<\/p>\n<p><strong>Question 4: Why do we group data?<\/strong><\/p>\n<p><strong>Solution:<\/strong>\u00a0The data obtained in original form is called raw data. It is difficult to get information from the raw data and is rather confusing sometime. Data is grouped so that it becomes understandable and can be interpreted. Grouped data is helpful to make calculations of certain values which will help in describing and analyzing the data.<\/p>\n<p><strong>Question 5: Explain the meaning of the following terms:<\/strong><\/p>\n<p><strong>(i) Variate<\/strong><\/p>\n<p><strong>(ii) Class-interval<\/strong><\/p>\n<p><strong>(iii) Class-size<\/strong><\/p>\n<p><strong>(iv) Class-mark<\/strong><\/p>\n<p><strong>(v) Frequency<\/strong><\/p>\n<p><strong>(vi) Class limits<\/strong><\/p>\n<p><strong>(vii)True class limits<\/strong><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p><strong>(i)\u00a0<\/strong>Variate: Any character that can vary from one individual to another.<\/p>\n<p><strong>(ii)\u00a0<\/strong>Class-interval: In the data of each group into which raw data is considered.<\/p>\n<p><strong>(iii)\u00a0<\/strong>Class-size: The difference between the upper limit and lower limit.<\/p>\n<p><strong>(iv)\u00a0<\/strong>Class-mark: The middle value of the selected class.<\/p>\n<p>It can be calculated as :<\/p>\n<p>Class-mark = (Upper limit + Lower limit) \/2<\/p>\n<p><strong>(v)\u00a0<\/strong>Frequency: The number of observations corresponding to class.<\/p>\n<p><strong>(vi)\u00a0<\/strong>Class limits: Each class is bounded by two figures, called the class limits. The figure on the right side are called upper limit while figure on the left side of the class are called lower limit.<\/p>\n<p><strong>(vii)<\/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, true lower limit of class = Lower limit of class \u2013 0.5<\/p>\n<p>And, true upper limit of class = Upper limit of class + 0.5<\/p>\n<p>In this case, True limits of the class is 5-9 are 4.5 and 9.5<\/p>\n<p>But if classes are exclusive like 20-30, 30-40, 40-50 and so on, then class limits and true class limits are the same.<\/p>\n<p><strong>Question 6: The ages of ten students of 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>(i) What is the lowest age?<\/strong><\/p>\n<p><strong>(ii) What is the highest age?<\/strong><\/p>\n<p><strong>(iii) Determine the range?<\/strong><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p>The ages of ten students of 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>(i)\u00a0<\/strong>Lowest age = 7 years 8 months<\/p>\n<p><strong>(ii)\u00a0<\/strong>Highest age = 9 years 3 months<\/p>\n<p><strong>(iii)\u00a0<\/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<p><strong>Question 7: The monthly pocket money of six friends is given below:<\/strong><\/p>\n<p><strong>Rs 45, Rs 30, Rs 40, Rs 50, Rs 25, Rs 45.<\/strong><\/p>\n<p><strong>(i) What is the highest pocket money?<\/strong><\/p>\n<p><strong>(ii) What is the lowest pocket money?<\/strong><\/p>\n<p><strong>(iii) What is the range?<\/strong><\/p>\n<p><strong>(iv) Arrange the amounts of pocket money in ascending order.<\/strong><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p>The monthly pocket money of six friends is given below:<\/p>\n<p>Rs 45, Rs 30, Rs 40, Rs 50, Rs 25, Rs 45<\/p>\n<p><strong>(i)<\/strong>\u00a0Highest pocket money = Rs 50<\/p>\n<p><strong>(ii)<\/strong>\u00a0Lowest pocket money = Rs 25<\/p>\n<p><strong>(iii)<\/strong>\u00a0Range = Highest pocket money \u2013 Lowest pocket money<\/p>\n<p>= Rs 50 \u2013 Rs 25<\/p>\n<p>= Rs 25<\/p>\n<p><strong>(iv)<\/strong>\u00a0Ascending order is: Rs 25, Rs 30, Rs 40, Rs 45, Rs 45,Rs 50.<\/p>\n<p><strong>Question 8: Write the class -size in each of the following:<\/strong><\/p>\n<p><strong>(i) 0-4, 5-9, 10-14<\/strong><\/p>\n<p><strong>(ii) 10-19, 20-29, 30-39<\/strong><\/p>\n<p><strong>(iii) 100-120, 120-140, 160-180<\/strong><\/p>\n<p><strong>(iv) 0-0.25, 0.25-00.50, 0.50-0.75<\/strong><\/p>\n<p><strong>(v) 5-5.01, 5.01-5.02, 5.02-5.03.<\/strong><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p><strong>(i)<\/strong>\u00a00-4, 5-9, 10-14<\/p>\n<p>Since, classes are inclusive, so<\/p>\n<p>True lower limit of class = Lower limit of class \u2013 0.5<\/p>\n<p>and, True upper limit of class = Upper limit of class + 0.5<\/p>\n<p>True class limits are 0.5-4.5, 4.5-9.5, 9.5-14.5<\/p>\n<p>Therefore class size = 14.5 \u2013 9.5 = 5<\/p>\n<p><strong>(ii)<\/strong>\u00a010-19, 20-29, 30-39<\/p>\n<p>Since, classes are inclusive, so<\/p>\n<p>True lower limit of class = Lower limit of class \u2013 0.5<\/p>\n<p>and, True upper limit of class = Upper limit of class + 0.5<\/p>\n<p>True class limits 19.5-19.5, 19.5-29.5, 29.5-29.5<\/p>\n<p>Class size = 39.5-29.5 = 10<\/p>\n<p><strong>(iii)<\/strong>\u00a0100-120, 120-140, 160-180<\/p>\n<p>Here the class limits and true class limits are the same<\/p>\n<p>So, class size = 120 \u2013 100 = 20<\/p>\n<p><strong>(iv)<\/strong>\u00a00-0.25, 0.25-00.50, 0.50-0.75<\/p>\n<p>Here the class limits and true class limits are the same<\/p>\n<p>So, class size = 0.25 \u2013 0 = 0.25<\/p>\n<p><strong>(v)<\/strong>\u00a05-5.01, 5.01-5.02, 5.02-5.03<\/p>\n<p>Here, class limits and true class limits are the same<\/p>\n<p>So, class size = 5.01 \u2013 5.0 = 0.01.<\/p>\n<p><strong>Question 9: The final marks in mathematics of 30 students are as follows:<\/strong><\/p>\n<p><strong>53, 61, 48, 60, 78, 68, 55, 100, 67, 90,<\/strong><\/p>\n<p><strong>75, 88, 77, 37, 84, 58, 60, 48, 62, 56,<\/strong><\/p>\n<p><strong>44, 58, 52, 64, 98, 59, 70, 39, 50, 60.<\/strong><\/p>\n<p><strong>(i) Arrange these marks in ascending order, 30 to 39 one group,40 to 49 second group etc.<\/strong><\/p>\n<p><strong>Now answer the following:<\/strong><\/p>\n<p><strong>(ii) What is the highest score?<\/strong><\/p>\n<p><strong>(iii) What is the lowest score?<\/strong><\/p>\n<p><strong>(iv) What is the range?<\/strong><\/p>\n<p><strong>(v) If 40 is the pass mark how many have failed?<\/strong><\/p>\n<p><strong>(vi) How many have scored 75 or more?<\/strong><\/p>\n<p><strong>(vii) Which observations between 50 and 60 have not actually appeared?<\/strong><\/p>\n<p><strong>(viii) How many have scored less than 50?<\/strong><\/p>\n<p><strong>Solution<\/strong>:<\/p>\n<p><strong>(i)<\/strong>\u00a0Arrange marks in ascending order:<\/p>\n<div class=\"table-responsive\">\n<table class=\"table table-bordered\">\n<tbody>\n<tr>\n<td>Class Marks<\/td>\n<td>Observations<\/td>\n<td>Frequency<\/td>\n<\/tr>\n<tr>\n<td>30-39<\/td>\n<td>37, 39<\/td>\n<td>2<\/td>\n<\/tr>\n<tr>\n<td>40-49<\/td>\n<td>44,48,48<\/td>\n<td>3<\/td>\n<\/tr>\n<tr>\n<td>50-59<\/td>\n<td>50, 52, 53, 55, 56, 58, 58, 59<\/td>\n<td>8<\/td>\n<\/tr>\n<tr>\n<td>60-69<\/td>\n<td>60, 60, 60, 61, 62, 64, 67, 68<\/td>\n<td>8<\/td>\n<\/tr>\n<tr>\n<td>70-79<\/td>\n<td>70, 75, 77, 78<\/td>\n<td>4<\/td>\n<\/tr>\n<tr>\n<td>80-89<\/td>\n<td>84,88<\/td>\n<td>2<\/td>\n<\/tr>\n<tr>\n<td>90-99<\/td>\n<td>90, 98<\/td>\n<td>2<\/td>\n<\/tr>\n<tr>\n<td>100-109<\/td>\n<td>100<\/td>\n<td>1<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<p><strong>(ii)\u00a0<\/strong>Highest score = 100<\/p>\n<p><strong>(iii)\u00a0<\/strong>Lowest score = 37<\/p>\n<p><strong>(iv)<\/strong>Range = Highest score \u2013 Lowest score = 100 \u2013 37 = 63<\/p>\n<p><strong>(v)\u00a0<\/strong>2<\/p>\n<p><strong>(vi)\u00a0<\/strong>8<\/p>\n<p><strong>(vii)<\/strong>\u00a051, 54, 57<\/p>\n<p><strong>(viii)<\/strong>\u00a05<\/p>\n<p><strong>Question 10: The weights of new born babies (in kg.) in a hospital on a particular day are as follows:<\/strong><\/p>\n<p><strong>2.3, 2.2, 2.1, 2.7, 2.6, 3.0, 2.5, 2.9, 2.8, 3.1, 2.5, 2.8, 2.7, 2.9, 2.4<\/strong><\/p>\n<p><strong>(i) Rearrange the highest weight.<\/strong><\/p>\n<p><strong>(ii) Determine the highest weight.<\/strong><\/p>\n<p><strong>(iii) Determine the lowest weight.<\/strong><\/p>\n<p><strong>(iv) Determine the range.<\/strong><\/p>\n<p><strong>(v) How many babies were born on that day?<\/strong><\/p>\n<p><strong>(vi) How many babies weigh below 2.5 kg?<\/strong><\/p>\n<p><strong>(vii) How many babies weigh more than 2.8 kg?<\/strong><\/p>\n<p><strong>(viii) How many babies weigh 2.8 kg?<\/strong><\/p>\n<p><strong>Solution<\/strong>:<\/p>\n<p><strong>(i)<\/strong>\u00a0Arrange weights in descending order:<\/p>\n<p>3.1, 3.0, 2.9, 2.9, 2.8, 2.8, 2.7, 2.7, 2.6, 2.5, 2.5, 2.4, 2.3, 2.2, 2.1.<\/p>\n<p><strong>(ii)<\/strong>\u00a0Highest weight = 3.1 Kg<\/p>\n<p><strong>(iii)<\/strong>\u00a0Lowest weight = 2.1 Kg<\/p>\n<p><strong>(iv)<\/strong>\u00a0Range = 3.1 kg \u2013 2.1 kg = 1.0 Kg<\/p>\n<p><strong>(v)<\/strong>\u00a015 babies were born on that particular day.<\/p>\n<p><strong>(vi)<\/strong>\u00a04 babies weight below 2.5 Kg.<\/p>\n<p><strong>(vii)<\/strong>\u00a0Babies more than 2.8 Kg weight are 4.<\/p>\n<p><strong>(viii)<\/strong>\u00a0Babies weigh 2.8 Kg are 2.<\/p>\n<p><strong>Question 11: The number of runs scored by a cricket player in 25 innings is as follows:<\/strong><\/p>\n<p><strong>26, 35, 94, 48, 82, 105, 53, 0, 39, 42, 71, 0, 64, 15, 34, 15, 34, 6, 71, 0, 64, 15, 34, 15, 34, 67, 0, 42, 124, 84, 54, 48, 139, 64, 47<\/strong><\/p>\n<p><strong>(i) Rearrange these runs in ascending order.<\/strong><\/p>\n<p><strong>(ii) Determine the player, is highest score.<\/strong><\/p>\n<p><strong>(iii) How many times did the player not score a run?<\/strong><\/p>\n<p><strong>(iv) How many centuries did he score?<\/strong><\/p>\n<p><strong>(v) How many times did he score more than 50 runs?<\/strong><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p><strong>(i)<\/strong>\u00a0Runs in an ascending order:<\/p>\n<p>0, 0, 0, 0, 6, 15, 15, 15, 15, 26, 34, 34, 34, 34, 35, 39, 42, 42, 47, 48, 48, 53, 54, 64, 64, 64, 67, 71, 71, 82, 84, 90, 94, 124, 139.<\/p>\n<p><strong>(ii)<\/strong>\u00a0Highest Score = 139<\/p>\n<p><strong>(iii)<\/strong>\u00a03 times, he did not scored any run.<\/p>\n<p><strong>(iv)<\/strong>\u00a0He scored 3 centuries.<\/p>\n<p><strong>(v)<\/strong>\u00a0He scored more than 50 runs 12 times.<\/p>\n<p>We have included all the information regarding <a href=\"https:\/\/cbse.nic.in\/\" target=\"_blank\" rel=\"noopener\">CBSE<\/a> <span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;RD Sharma Class 9 Solutions Chapter 22 Exercise 22.1&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:4540,&quot;5&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:[null,2,0]},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;6&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:[null,2,0]},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;7&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:[null,2,0]},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;8&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:[null,2,0]},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;10&quot;:2,&quot;11&quot;:0,&quot;15&quot;:&quot;Arial&quot;}\">RD Sharma Class 9 Solutions Chapter 22 Exercise 22.1<\/span><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;RD Sharma Class 9 Solutions Chapter 20 Exercise 20.1&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:4540,&quot;5&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:[null,2,0]},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;6&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:[null,2,0]},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;7&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:[null,2,0]},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;8&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:[null,2,0]},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;10&quot;:2,&quot;11&quot;:0,&quot;15&quot;:&quot;Arial&quot;}\">. If you have any query feel free to ask in the comment section.\u00a0<\/span><\/p>\n<h3><span class=\"ez-toc-section\" id=\"faq-rd-sharma-class-9-solutions-chapter-22-exercise-221\"><\/span>FAQ: <span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;RD Sharma Class 9 Solutions Chapter 22 Exercise 22.1&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:4540,&quot;5&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:[null,2,0]},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;6&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:[null,2,0]},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;7&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:[null,2,0]},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;8&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:[null,2,0]},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;10&quot;:2,&quot;11&quot;:0,&quot;15&quot;:&quot;Arial&quot;}\">RD Sharma Class 9 Solutions Chapter 22 Exercise 22.1<\/span><span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n<div id=\"rank-math-faq\" class=\"rank-math-block\">\n<div class=\"rank-math-list \">\n<div id=\"faq-question-1630938287301\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"can-i-download-rd-sharma-class-9-solutions-chapter-22-exercise-221-pdf-free\"><\/span>Can I download RD Sharma Class 9 Solutions Chapter 22 Exercise 22.1 PDF free?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>Yes, you can download RD Sharma Class 9 Solutions Chapter 22 Exercise 22.1 PDF free.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1630938308716\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"what-are-the-benefits-of-studying-from-rd-sharma-class-9-solutions-chapter-22-exercise-221\"><\/span>What are the benefits of studying from RD Sharma Class 9 Solutions Chapter 22 Exercise 22.1?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>By practicing these RD Sharma Class 9 Solutions Chapter 22 Exercise 22.1, students can earn higher academic grades. Our experts solve these solutions with utmost accuracy to help students in their studies.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1630938309630\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"can-i-open-rd-sharma-class-9-solutions-chapter-22-exercise-221-pdf-on-my-smartphone\"><\/span>Can I open RD Sharma Class 9 Solutions Chapter 22 Exercise 22.1 PDF on my smartphone?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>Yes, you can open RD Sharma Class 9 Solutions Chapter 22 Exercise 22.1 PDF on any device.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1630938312754\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"is-rd-sharma-enough-for-class-12-maths\"><\/span>Is RD Sharma enough for Class 12 Maths?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>RD Sharma is a good book that gives you thousands of questions to practice.<\/p>\n\n<\/div>\n<\/div>\n<\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>RD Sharma Class 9 Solutions Chapter 22 Exercise 22.1: You can download RD Sharma Class 9 Solutions Chapter 22 Exercise 22.1 in this article. The solution is created in detail by our experts. These solutions will be of great benefit to you in your Class 9 math exam. You don\u2019t need to turn the pages &#8230; <a title=\"RD Sharma Class 9 Solutions Chapter 22 Exercise 22.1 (Updated for 2021-22)\" class=\"read-more\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-class-9-solutions-chapter-22-exercise-22-1\/\" aria-label=\"More on RD Sharma Class 9 Solutions Chapter 22 Exercise 22.1 (Updated for 2021-22)\">Read more<\/a><\/p>\n","protected":false},"author":244,"featured_media":126133,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"","fifu_image_alt":""},"categories":[73719],"tags":[76800,76801,76799],"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/124945"}],"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\/244"}],"replies":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/comments?post=124945"}],"version-history":[{"count":3,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/124945\/revisions"}],"predecessor-version":[{"id":126145,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/124945\/revisions\/126145"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media\/126133"}],"wp:attachment":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media?parent=124945"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/categories?post=124945"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/tags?post=124945"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}