{"id":125104,"date":"2021-09-10T19:49:10","date_gmt":"2021-09-10T14:19:10","guid":{"rendered":"https:\/\/www.kopykitab.com\/blog\/?p=125104"},"modified":"2021-09-10T19:49:14","modified_gmt":"2021-09-10T14:19:14","slug":"rd-sharma-class-9-solutions-chapter-24-exercise-24-3","status":"publish","type":"post","link":"https:\/\/www.kopykitab.com\/blog\/rd-sharma-class-9-solutions-chapter-24-exercise-24-3\/","title":{"rendered":"RD Sharma Class 9 Solutions Chapter 24 Exercise 24.3 (Updated for 2021-22)"},"content":{"rendered":"\n<p><img class=\"alignnone size-full wp-image-126646\" src=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/09\/RD-Sharma-Class-9-Solutions-Chapter-24-Exercise-24.3-1.jpg\" alt=\"RD Sharma Class 9 Solutions Chapter 24 Exercise 24.3\" width=\"1200\" height=\"675\" srcset=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/09\/RD-Sharma-Class-9-Solutions-Chapter-24-Exercise-24.3-1.jpg 1200w, https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/09\/RD-Sharma-Class-9-Solutions-Chapter-24-Exercise-24.3-1-768x432.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 24 Exercise 24.3&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 24 Exercise 24.3<\/strong>: You can get the PDF for <a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-9-maths-chapter-24-measure-of-central-tendency\/\" target=\"_blank\" rel=\"noopener\">RD Sharma Class 9 Solutions Maths Chapter 24<\/a> Exercise 24.3 for free. This PDF is created by our expert team. These solutions will be very beneficial for your Class 9 exams. Students can look at these solutions even during their exam preparations as are explained in a detailed manner.<\/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-69d2f329438a1\" 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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9 Solutions Chapter 24 Exercise 24.3 PDF on my smartphone?\">Can I open RD Sharma Class 9 Solutions Chapter 24 Exercise 24.3 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-5\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-class-9-solutions-chapter-24-exercise-24-3\/#what-are-the-benefits-of-studying-from-rd-sharma-class-9-solutions-chapter-24-exercise-243\" title=\"What are the benefits of studying from RD Sharma Class 9 Solutions Chapter 24 Exercise 24.3?\">What are the benefits of studying from RD Sharma Class 9 Solutions Chapter 24 Exercise 24.3?<\/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-24-exercise-24-3\/#can-i-download-rd-sharma-class-9-solutions-chapter-24-exercise-243-pdf-free\" title=\"Can I download RD Sharma Class 9 Solutions Chapter 24 Exercise 24.3 PDF free?\">Can I download RD Sharma Class 9 Solutions Chapter 24 Exercise 24.3 PDF free?<\/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-24-exercise-24-3\/#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-24-exercise-243\"><\/span>Download <span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;RD Sharma Class 9 Solutions Chapter 24 Exercise 24.3&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 24 Exercise 24.3<\/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\/RD-SHARMA-Solutions-Class-9-Maths-Chapter-24-Ex-24.3.pdf\", \"#example1\");<\/script><\/p>\n<p><a href=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/09\/RD-SHARMA-Solutions-Class-9-Maths-Chapter-24-Ex-24.3.pdf\">RD-SHARMA-Solutions-Class-9-Maths-Chapter-24-Ex-24.3<\/a><\/p>\n<h2><span class=\"ez-toc-section\" id=\"access-rd-sharma-class-9-solutions-chapter-24-exercise-243\"><\/span>Access <span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;RD Sharma Class 9 Solutions Chapter 24 Exercise 24.3&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 24 Exercise 24.3<\/span><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Question 1.<br \/>83, 37, 70, 29, 45, 63, 41, 70, 34, 54<br \/>Solution:<br \/>We know that median =\u00a0<span id=\"MathJax-Element-34-Frame\" class=\"MathJax\" tabindex=\"0\"><span id=\"MathJax-Span-515\" class=\"math\"><span id=\"MathJax-Span-516\" class=\"mrow\"><span id=\"MathJax-Span-517\" class=\"mfrac\"><span id=\"MathJax-Span-518\" class=\"mn\">1<\/span><span id=\"MathJax-Span-519\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-520\" class=\"mrow\"><span id=\"MathJax-Span-521\" class=\"mo\">[<\/span><span id=\"MathJax-Span-522\" class=\"mfrac\"><span id=\"MathJax-Span-523\" class=\"mi\">n<\/span><span id=\"MathJax-Span-524\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-525\" class=\"mi\">t<\/span><span id=\"MathJax-Span-526\" class=\"mi\">h<\/span><span id=\"MathJax-Span-527\" class=\"mspace\"><\/span><span id=\"MathJax-Span-528\" class=\"mi\">t<\/span><span id=\"MathJax-Span-529\" class=\"mi\">e<\/span><span id=\"MathJax-Span-530\" class=\"mi\">r<\/span><span id=\"MathJax-Span-531\" class=\"mi\">m<\/span><span id=\"MathJax-Span-532\" class=\"mo\">+<\/span><span id=\"MathJax-Span-533\" class=\"mrow\"><span id=\"MathJax-Span-534\" class=\"mo\">(<\/span><span id=\"MathJax-Span-535\" class=\"mfrac\"><span id=\"MathJax-Span-536\" class=\"mi\">n<\/span><span id=\"MathJax-Span-537\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-538\" class=\"mo\">+<\/span><span id=\"MathJax-Span-539\" class=\"mn\">1<\/span><span id=\"MathJax-Span-540\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-541\" class=\"mi\">t<\/span><span id=\"MathJax-Span-542\" class=\"mi\">h<\/span><span id=\"MathJax-Span-543\" class=\"mspace\"><\/span><span id=\"MathJax-Span-544\" class=\"mi\">t<\/span><span id=\"MathJax-Span-545\" class=\"mi\">e<\/span><span id=\"MathJax-Span-546\" class=\"mi\">r<\/span><span id=\"MathJax-Span-547\" class=\"mi\">m<\/span><span id=\"MathJax-Span-548\" class=\"mo\">]<\/span><\/span><\/span><\/span><\/span><br \/>(When n is even)<br \/>=\u00a0<span id=\"MathJax-Element-35-Frame\" class=\"MathJax\" tabindex=\"0\"><span id=\"MathJax-Span-549\" class=\"math\"><span id=\"MathJax-Span-550\" class=\"mrow\"><span id=\"MathJax-Span-551\" class=\"mfrac\"><span id=\"MathJax-Span-552\" class=\"mrow\"><span id=\"MathJax-Span-553\" class=\"mi\">n<\/span><span id=\"MathJax-Span-554\" class=\"mo\">+<\/span><span id=\"MathJax-Span-555\" class=\"mn\">1<\/span><\/span><span id=\"MathJax-Span-556\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-557\" class=\"mi\">t<\/span><span id=\"MathJax-Span-558\" class=\"mi\">h<\/span><span id=\"MathJax-Span-559\" class=\"mspace\"><\/span><span id=\"MathJax-Span-560\" class=\"mi\">t<\/span><span id=\"MathJax-Span-561\" class=\"mi\">e<\/span><span id=\"MathJax-Span-562\" class=\"mi\">r<\/span><span id=\"MathJax-Span-563\" class=\"mi\">m<\/span><\/span><\/span><\/span><br \/>83, 37, 70, 29, 45, 63, 41, 70, 34, 54<br \/>Arranging in ascending order, 29, 34, 37, 41, 45, 54, 63, 70, 70, 83<br \/>Here n = 10 which an even<br \/>Median =\u00a0<span id=\"MathJax-Element-36-Frame\" class=\"MathJax\" tabindex=\"0\"><span id=\"MathJax-Span-564\" class=\"math\"><span id=\"MathJax-Span-565\" class=\"mrow\"><span id=\"MathJax-Span-566\" class=\"mfrac\"><span id=\"MathJax-Span-567\" class=\"mn\">1<\/span><span id=\"MathJax-Span-568\" class=\"mn\">2<\/span><\/span><\/span><\/span><\/span>[5th term + 6th term]<br \/>=\u00a0<span id=\"MathJax-Element-37-Frame\" class=\"MathJax\" tabindex=\"0\"><span id=\"MathJax-Span-569\" class=\"math\"><span id=\"MathJax-Span-570\" class=\"mrow\"><span id=\"MathJax-Span-571\" class=\"mfrac\"><span id=\"MathJax-Span-572\" class=\"mn\">1<\/span><span id=\"MathJax-Span-573\" class=\"mn\">2<\/span><\/span><\/span><\/span><\/span>\u00a0(45+54) =\u00a0<span id=\"MathJax-Element-38-Frame\" class=\"MathJax\" tabindex=\"0\"><span id=\"MathJax-Span-574\" class=\"math\"><span id=\"MathJax-Span-575\" class=\"mrow\"><span id=\"MathJax-Span-576\" class=\"mfrac\"><span id=\"MathJax-Span-577\" class=\"mn\">99<\/span><span id=\"MathJax-Span-578\" class=\"mn\">2<\/span><\/span><\/span><\/span><\/span>\u00a0= 49.5<\/p>\n<p>Question 2.<br \/>133, 73, 89, 108, 94, 104, 94, 85, 100, 120<br \/>Solution:<br \/>133, 73, 89, 108, 94, 104, 94, 85, 100, 120<br \/>Arranging in ascending order, 73, 85, 89, 94, 94, 100, 104, 108, 120, 133<br \/>Here n = 10 which is an even<br \/>Median =\u00a0<span id=\"MathJax-Element-39-Frame\" class=\"MathJax\" tabindex=\"0\"><span id=\"MathJax-Span-579\" class=\"math\"><span id=\"MathJax-Span-580\" class=\"mrow\"><span id=\"MathJax-Span-581\" class=\"mfrac\"><span id=\"MathJax-Span-582\" class=\"mn\">1<\/span><span id=\"MathJax-Span-583\" class=\"mn\">2<\/span><\/span><\/span><\/span><\/span>[5th term + 6th term]<br \/>=\u00a0<span id=\"MathJax-Element-40-Frame\" class=\"MathJax\" tabindex=\"0\"><span id=\"MathJax-Span-584\" class=\"math\"><span id=\"MathJax-Span-585\" class=\"mrow\"><span id=\"MathJax-Span-586\" class=\"mfrac\"><span id=\"MathJax-Span-587\" class=\"mn\">1<\/span><span id=\"MathJax-Span-588\" class=\"mn\">2<\/span><\/span><\/span><\/span><\/span>\u00a0(94+100) =\u00a0<span id=\"MathJax-Element-41-Frame\" class=\"MathJax\" tabindex=\"0\"><span id=\"MathJax-Span-589\" class=\"math\"><span id=\"MathJax-Span-590\" class=\"mrow\"><span id=\"MathJax-Span-591\" class=\"mfrac\"><span id=\"MathJax-Span-592\" class=\"mn\">1<\/span><span id=\"MathJax-Span-593\" class=\"mn\">2<\/span><\/span><\/span><\/span><\/span>\u00a0x 194 = 97<\/p>\n<p>Question 3.<br \/>31, 38, 27, 28, 36, 25, 35, 40<br \/>Solution:<br \/>31, 38, 27, 28, 36, 25, 35, 40<br \/>Arranging in ascending order, 25, 27, 28, 31, 35, 36, 38, 40<br \/>Here n = 8 which is even<br \/>Median =\u00a0<span id=\"MathJax-Element-42-Frame\" class=\"MathJax\" tabindex=\"0\"><span id=\"MathJax-Span-594\" class=\"math\"><span id=\"MathJax-Span-595\" class=\"mrow\"><span id=\"MathJax-Span-596\" class=\"mfrac\"><span id=\"MathJax-Span-597\" class=\"mn\">1<\/span><span id=\"MathJax-Span-598\" class=\"mn\">2<\/span><\/span><\/span><\/span><\/span>[4th term + 5th term]<br \/>=\u00a0<span id=\"MathJax-Element-43-Frame\" class=\"MathJax\" tabindex=\"0\"><span id=\"MathJax-Span-599\" class=\"math\"><span id=\"MathJax-Span-600\" class=\"mrow\"><span id=\"MathJax-Span-601\" class=\"mfrac\"><span id=\"MathJax-Span-602\" class=\"mn\">1<\/span><span id=\"MathJax-Span-603\" class=\"mn\">2<\/span><\/span><\/span><\/span><\/span>\u00a0(31+35) =\u00a0<span id=\"MathJax-Element-44-Frame\" class=\"MathJax\" tabindex=\"0\"><span id=\"MathJax-Span-604\" class=\"math\"><span id=\"MathJax-Span-605\" class=\"mrow\"><span id=\"MathJax-Span-606\" class=\"mfrac\"><span id=\"MathJax-Span-607\" class=\"mn\">1<\/span><span id=\"MathJax-Span-608\" class=\"mn\">2<\/span><\/span><\/span><\/span><\/span>\u00a0x 66 = 33<\/p>\n<p>Question 4.<br \/>15, 6, 16, 8, 22, 21, 9, 18, 25<br \/>Solution:<br \/>15, 6, 16, 8, 22, 21, 9, 18, 25<br \/>Arranging in ascending order = 6, 8, 9, 15, 16, 18, 21, 22, 25<br \/>Here n = 9 which is odd<br \/>Median\u00a0<span id=\"MathJax-Element-45-Frame\" class=\"MathJax\" tabindex=\"0\"><span id=\"MathJax-Span-609\" class=\"math\"><span id=\"MathJax-Span-610\" class=\"mrow\"><span id=\"MathJax-Span-611\" class=\"mfrac\"><span id=\"MathJax-Span-612\" class=\"mrow\"><span id=\"MathJax-Span-613\" class=\"mi\">n<\/span><span id=\"MathJax-Span-614\" class=\"mo\">+<\/span><span id=\"MathJax-Span-615\" class=\"mn\">1<\/span><\/span><span id=\"MathJax-Span-616\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-617\" class=\"mi\">t<\/span><span id=\"MathJax-Span-618\" class=\"mi\">h<\/span><span id=\"MathJax-Span-619\" class=\"mspace\"><\/span><span id=\"MathJax-Span-620\" class=\"mi\">t<\/span><span id=\"MathJax-Span-621\" class=\"mi\">e<\/span><span id=\"MathJax-Span-622\" class=\"mi\">r<\/span><span id=\"MathJax-Span-623\" class=\"mi\">m<\/span><\/span><\/span><\/span>\u00a0=\u00a0<span id=\"MathJax-Element-46-Frame\" class=\"MathJax\" tabindex=\"0\"><span id=\"MathJax-Span-624\" class=\"math\"><span id=\"MathJax-Span-625\" class=\"mrow\"><span id=\"MathJax-Span-626\" class=\"mfrac\"><span id=\"MathJax-Span-627\" class=\"mrow\"><span id=\"MathJax-Span-628\" class=\"mn\">9<\/span><span id=\"MathJax-Span-629\" class=\"mo\">+<\/span><span id=\"MathJax-Span-630\" class=\"mn\">1<\/span><\/span><span id=\"MathJax-Span-631\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-632\" class=\"mi\">t<\/span><span id=\"MathJax-Span-633\" class=\"mi\">h<\/span><span id=\"MathJax-Span-634\" class=\"mspace\"><\/span><span id=\"MathJax-Span-635\" class=\"mi\">t<\/span><span id=\"MathJax-Span-636\" class=\"mi\">e<\/span><span id=\"MathJax-Span-637\" class=\"mi\">r<\/span><span id=\"MathJax-Span-638\" class=\"mi\">m<\/span><\/span><\/span><\/span>\u00a0=\u00a0<span id=\"MathJax-Element-47-Frame\" class=\"MathJax\" tabindex=\"0\"><span id=\"MathJax-Span-639\" class=\"math\"><span id=\"MathJax-Span-640\" class=\"mrow\"><span id=\"MathJax-Span-641\" class=\"mfrac\"><span id=\"MathJax-Span-642\" class=\"mn\">10<\/span><span id=\"MathJax-Span-643\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-644\" class=\"mi\">t<\/span><span id=\"MathJax-Span-645\" class=\"mi\">h<\/span><span id=\"MathJax-Span-646\" class=\"mspace\"><\/span><\/span><\/span><\/span><br \/>= 5th term = 16<\/p>\n<p>Question 5.<br \/>41, 43, 127, 99, 71, 92, 71, 58, 57<br \/>Solution:<br \/>41, 43, 127, 99, 71, 92, 71, 58, 57<br \/>Arranging in ascending order = 41, 43, 57, 58, 71, 71, 92, 99, 127<br \/>Here n = 9 which is an odd<br \/>Median\u00a0<span id=\"MathJax-Element-48-Frame\" class=\"MathJax\" tabindex=\"0\"><span id=\"MathJax-Span-647\" class=\"math\"><span id=\"MathJax-Span-648\" class=\"mrow\"><span id=\"MathJax-Span-649\" class=\"mfrac\"><span id=\"MathJax-Span-650\" class=\"mrow\"><span id=\"MathJax-Span-651\" class=\"mi\">n<\/span><span id=\"MathJax-Span-652\" class=\"mo\">+<\/span><span id=\"MathJax-Span-653\" class=\"mn\">1<\/span><\/span><span id=\"MathJax-Span-654\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-655\" class=\"mi\">t<\/span><span id=\"MathJax-Span-656\" class=\"mi\">h<\/span><span id=\"MathJax-Span-657\" class=\"mspace\"><\/span><span id=\"MathJax-Span-658\" class=\"mi\">t<\/span><span id=\"MathJax-Span-659\" class=\"mi\">e<\/span><span id=\"MathJax-Span-660\" class=\"mi\">r<\/span><span id=\"MathJax-Span-661\" class=\"mi\">m<\/span><\/span><\/span><\/span>\u00a0=\u00a0<span id=\"MathJax-Element-49-Frame\" class=\"MathJax\" tabindex=\"0\"><span id=\"MathJax-Span-662\" class=\"math\"><span id=\"MathJax-Span-663\" class=\"mrow\"><span id=\"MathJax-Span-664\" class=\"mfrac\"><span id=\"MathJax-Span-665\" class=\"mrow\"><span id=\"MathJax-Span-666\" class=\"mn\">9<\/span><span id=\"MathJax-Span-667\" class=\"mo\">+<\/span><span id=\"MathJax-Span-668\" class=\"mn\">1<\/span><\/span><span id=\"MathJax-Span-669\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-670\" class=\"mi\">t<\/span><span id=\"MathJax-Span-671\" class=\"mi\">h<\/span><span id=\"MathJax-Span-672\" class=\"mspace\"><\/span><span id=\"MathJax-Span-673\" class=\"mi\">t<\/span><span id=\"MathJax-Span-674\" class=\"mi\">e<\/span><span id=\"MathJax-Span-675\" class=\"mi\">r<\/span><span id=\"MathJax-Span-676\" class=\"mi\">m<\/span><\/span><\/span><\/span>\u00a0=\u00a0<span id=\"MathJax-Element-50-Frame\" class=\"MathJax\" tabindex=\"0\"><span id=\"MathJax-Span-677\" class=\"math\"><span id=\"MathJax-Span-678\" class=\"mrow\"><span id=\"MathJax-Span-679\" class=\"mfrac\"><span id=\"MathJax-Span-680\" class=\"mn\">10<\/span><span id=\"MathJax-Span-681\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-682\" class=\"mi\">t<\/span><span id=\"MathJax-Span-683\" class=\"mi\">h<\/span><span id=\"MathJax-Span-684\" class=\"mspace\"><\/span><\/span><\/span><\/span><br \/>= 5th term = 71<\/p>\n<p>Question 6.<br \/>25, 34, 31, 23, 22, 26, 35, 29, 20, 32<br \/>Solution:<br \/>25, 34, 31, 23, 22, 26, 35, 29, 20, 32<br \/>Arranging in ascending order = 20, 22, 23, 25, 26, 29, 31, 32, 34, 35<br \/>Here n = 10 which is even<br \/>Median =\u00a0<span id=\"MathJax-Element-51-Frame\" class=\"MathJax\" tabindex=\"0\"><span id=\"MathJax-Span-685\" class=\"math\"><span id=\"MathJax-Span-686\" class=\"mrow\"><span id=\"MathJax-Span-687\" class=\"mfrac\"><span id=\"MathJax-Span-688\" class=\"mn\">1<\/span><span id=\"MathJax-Span-689\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-690\" class=\"mrow\"><span id=\"MathJax-Span-691\" class=\"mo\">[<\/span><span id=\"MathJax-Span-692\" class=\"mfrac\"><span id=\"MathJax-Span-693\" class=\"mi\">n<\/span><span id=\"MathJax-Span-694\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-695\" class=\"mi\">t<\/span><span id=\"MathJax-Span-696\" class=\"mi\">h<\/span><span id=\"MathJax-Span-697\" class=\"mspace\"><\/span><span id=\"MathJax-Span-698\" class=\"mi\">t<\/span><span id=\"MathJax-Span-699\" class=\"mi\">e<\/span><span id=\"MathJax-Span-700\" class=\"mi\">r<\/span><span id=\"MathJax-Span-701\" class=\"mi\">m<\/span><span id=\"MathJax-Span-702\" class=\"mo\">+<\/span><span id=\"MathJax-Span-703\" class=\"mrow\"><span id=\"MathJax-Span-704\" class=\"mo\">(<\/span><span id=\"MathJax-Span-705\" class=\"mfrac\"><span id=\"MathJax-Span-706\" class=\"mi\">n<\/span><span id=\"MathJax-Span-707\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-708\" class=\"mo\">+<\/span><span id=\"MathJax-Span-709\" class=\"mn\">1<\/span><span id=\"MathJax-Span-710\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-711\" class=\"mi\">t<\/span><span id=\"MathJax-Span-712\" class=\"mi\">h<\/span><span id=\"MathJax-Span-713\" class=\"mspace\"><\/span><span id=\"MathJax-Span-714\" class=\"mi\">t<\/span><span id=\"MathJax-Span-715\" class=\"mi\">e<\/span><span id=\"MathJax-Span-716\" class=\"mi\">r<\/span><span id=\"MathJax-Span-717\" class=\"mi\">m<\/span><span id=\"MathJax-Span-718\" class=\"mo\">]<\/span><\/span><\/span><\/span><\/span><br \/>=\u00a0<span id=\"MathJax-Element-52-Frame\" class=\"MathJax\" tabindex=\"0\"><span id=\"MathJax-Span-719\" class=\"math\"><span id=\"MathJax-Span-720\" class=\"mrow\"><span id=\"MathJax-Span-721\" class=\"mfrac\"><span id=\"MathJax-Span-722\" class=\"mn\">1<\/span><span id=\"MathJax-Span-723\" class=\"mn\">2<\/span><\/span><\/span><\/span><\/span>\u00a0[5th term + 6th term]<br \/>=\u00a0<span id=\"MathJax-Element-53-Frame\" class=\"MathJax\" tabindex=\"0\"><span id=\"MathJax-Span-724\" class=\"math\"><span id=\"MathJax-Span-725\" class=\"mrow\"><span id=\"MathJax-Span-726\" class=\"mfrac\"><span id=\"MathJax-Span-727\" class=\"mn\">1<\/span><span id=\"MathJax-Span-728\" class=\"mn\">2<\/span><\/span><\/span><\/span><\/span>\u00a0(26 + 29) =\u00a0<span id=\"MathJax-Element-54-Frame\" class=\"MathJax\" tabindex=\"0\"><span id=\"MathJax-Span-729\" class=\"math\"><span id=\"MathJax-Span-730\" class=\"mrow\"><span id=\"MathJax-Span-731\" class=\"mfrac\"><span id=\"MathJax-Span-732\" class=\"mn\">1<\/span><span id=\"MathJax-Span-733\" class=\"mn\">2<\/span><\/span><\/span><\/span><\/span>\u00a0x 55 =\u00a0<span id=\"MathJax-Element-55-Frame\" class=\"MathJax\" tabindex=\"0\"><span id=\"MathJax-Span-734\" class=\"math\"><span id=\"MathJax-Span-735\" class=\"mrow\"><span id=\"MathJax-Span-736\" class=\"mfrac\"><span id=\"MathJax-Span-737\" class=\"mn\">55<\/span><span id=\"MathJax-Span-738\" class=\"mn\">2<\/span><\/span><\/span><\/span><\/span>\u00a0= 27.5<\/p>\n<p>Question 7.<br \/>12, 17, 3, 14, 5, 8, 7, 15<br \/>Solution:<br \/>12, 17, 3, 14, 5, 8, 7, 15<br \/>Arranging in ascending order = 3, 5, 7, 8, 12, 14, 15, 17<br \/>Here n = 8 which is odd<br \/>Median =\u00a0<span id=\"MathJax-Element-56-Frame\" class=\"MathJax\" tabindex=\"0\"><span id=\"MathJax-Span-739\" class=\"math\"><span id=\"MathJax-Span-740\" class=\"mrow\"><span id=\"MathJax-Span-741\" class=\"mfrac\"><span id=\"MathJax-Span-742\" class=\"mn\">1<\/span><span id=\"MathJax-Span-743\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-744\" class=\"mrow\"><span id=\"MathJax-Span-745\" class=\"mo\">[<\/span><span id=\"MathJax-Span-746\" class=\"mfrac\"><span id=\"MathJax-Span-747\" class=\"mi\">n<\/span><span id=\"MathJax-Span-748\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-749\" class=\"mi\">t<\/span><span id=\"MathJax-Span-750\" class=\"mi\">h<\/span><span id=\"MathJax-Span-751\" class=\"mspace\"><\/span><span id=\"MathJax-Span-752\" class=\"mi\">t<\/span><span id=\"MathJax-Span-753\" class=\"mi\">e<\/span><span id=\"MathJax-Span-754\" class=\"mi\">r<\/span><span id=\"MathJax-Span-755\" class=\"mi\">m<\/span><span id=\"MathJax-Span-756\" class=\"mo\">+<\/span><span id=\"MathJax-Span-757\" class=\"mrow\"><span id=\"MathJax-Span-758\" class=\"mo\">(<\/span><span id=\"MathJax-Span-759\" class=\"mfrac\"><span id=\"MathJax-Span-760\" class=\"mi\">n<\/span><span id=\"MathJax-Span-761\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-762\" class=\"mo\">+<\/span><span id=\"MathJax-Span-763\" class=\"mn\">1<\/span><span id=\"MathJax-Span-764\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-765\" class=\"mi\">t<\/span><span id=\"MathJax-Span-766\" class=\"mi\">h<\/span><span id=\"MathJax-Span-767\" class=\"mspace\"><\/span><span id=\"MathJax-Span-768\" class=\"mi\">t<\/span><span id=\"MathJax-Span-769\" class=\"mi\">e<\/span><span id=\"MathJax-Span-770\" class=\"mi\">r<\/span><span id=\"MathJax-Span-771\" class=\"mi\">m<\/span><span id=\"MathJax-Span-772\" class=\"mo\">]<\/span><\/span><\/span><\/span><\/span><br \/>=\u00a0<span id=\"MathJax-Element-57-Frame\" class=\"MathJax\" tabindex=\"0\"><span id=\"MathJax-Span-773\" class=\"math\"><span id=\"MathJax-Span-774\" class=\"mrow\"><span id=\"MathJax-Span-775\" class=\"mfrac\"><span id=\"MathJax-Span-776\" class=\"mn\">1<\/span><span id=\"MathJax-Span-777\" class=\"mn\">2<\/span><\/span><\/span><\/span><\/span>\u00a0[4th term + 5th term]<br \/>=\u00a0<span id=\"MathJax-Element-58-Frame\" class=\"MathJax\" tabindex=\"0\"><span id=\"MathJax-Span-778\" class=\"math\"><span id=\"MathJax-Span-779\" class=\"mrow\"><span id=\"MathJax-Span-780\" class=\"mfrac\"><span id=\"MathJax-Span-781\" class=\"mn\">1<\/span><span id=\"MathJax-Span-782\" class=\"mn\">2<\/span><\/span><\/span><\/span><\/span>\u00a0(8+12) =\u00a0<span id=\"MathJax-Element-59-Frame\" class=\"MathJax\" tabindex=\"0\"><span id=\"MathJax-Span-783\" class=\"math\"><span id=\"MathJax-Span-784\" class=\"mrow\"><span id=\"MathJax-Span-785\" class=\"mfrac\"><span id=\"MathJax-Span-786\" class=\"mn\">1<\/span><span id=\"MathJax-Span-787\" class=\"mn\">2<\/span><\/span><\/span><\/span><\/span>\u00a0x 20 = 10<\/p>\n<p>Question 8.<br \/>92, 35, 67, 85, 72, 81, 56, 51, 42, 69<br \/>Solution:<br \/>92, 35, 67, 85, 72, 81, 56, 51, 42. 69<br \/>Arranging in ascending order = 35, 42, 51, 56, 67, 69, 72, 81, 85, 92<br \/>Here n = 10 which is even<br \/>Median =\u00a0<span id=\"MathJax-Element-60-Frame\" class=\"MathJax\" tabindex=\"0\"><span id=\"MathJax-Span-788\" class=\"math\"><span id=\"MathJax-Span-789\" class=\"mrow\"><span id=\"MathJax-Span-790\" class=\"mfrac\"><span id=\"MathJax-Span-791\" class=\"mn\">1<\/span><span id=\"MathJax-Span-792\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-793\" class=\"mrow\"><span id=\"MathJax-Span-794\" class=\"mo\">[<\/span><span id=\"MathJax-Span-795\" class=\"mfrac\"><span id=\"MathJax-Span-796\" class=\"mi\">n<\/span><span id=\"MathJax-Span-797\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-798\" class=\"mi\">t<\/span><span id=\"MathJax-Span-799\" class=\"mi\">h<\/span><span id=\"MathJax-Span-800\" class=\"mspace\"><\/span><span id=\"MathJax-Span-801\" class=\"mi\">t<\/span><span id=\"MathJax-Span-802\" class=\"mi\">e<\/span><span id=\"MathJax-Span-803\" class=\"mi\">r<\/span><span id=\"MathJax-Span-804\" class=\"mi\">m<\/span><span id=\"MathJax-Span-805\" class=\"mo\">+<\/span><span id=\"MathJax-Span-806\" class=\"mrow\"><span id=\"MathJax-Span-807\" class=\"mo\">(<\/span><span id=\"MathJax-Span-808\" class=\"mfrac\"><span id=\"MathJax-Span-809\" class=\"mi\">n<\/span><span id=\"MathJax-Span-810\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-811\" class=\"mo\">+<\/span><span id=\"MathJax-Span-812\" class=\"mn\">1<\/span><span id=\"MathJax-Span-813\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-814\" class=\"mi\">t<\/span><span id=\"MathJax-Span-815\" class=\"mi\">h<\/span><span id=\"MathJax-Span-816\" class=\"mspace\"><\/span><span id=\"MathJax-Span-817\" class=\"mi\">t<\/span><span id=\"MathJax-Span-818\" class=\"mi\">e<\/span><span id=\"MathJax-Span-819\" class=\"mi\">r<\/span><span id=\"MathJax-Span-820\" class=\"mi\">m<\/span><span id=\"MathJax-Span-821\" class=\"mo\">]<\/span><\/span><\/span><\/span><\/span><br \/>=\u00a0<span id=\"MathJax-Element-61-Frame\" class=\"MathJax\" tabindex=\"0\"><span id=\"MathJax-Span-822\" class=\"math\"><span id=\"MathJax-Span-823\" class=\"mrow\"><span id=\"MathJax-Span-824\" class=\"mfrac\"><span id=\"MathJax-Span-825\" class=\"mn\">1<\/span><span id=\"MathJax-Span-826\" class=\"mn\">2<\/span><\/span><\/span><\/span><\/span>\u00a0[5th term + 6th term]<br \/>=\u00a0<span id=\"MathJax-Element-62-Frame\" class=\"MathJax\" tabindex=\"0\"><span id=\"MathJax-Span-827\" class=\"math\"><span id=\"MathJax-Span-828\" class=\"mrow\"><span id=\"MathJax-Span-829\" class=\"mfrac\"><span id=\"MathJax-Span-830\" class=\"mn\">1<\/span><span id=\"MathJax-Span-831\" class=\"mn\">2<\/span><\/span><\/span><\/span><\/span>\u00a0(67+69) =\u00a0<span id=\"MathJax-Element-63-Frame\" class=\"MathJax\" tabindex=\"0\"><span id=\"MathJax-Span-832\" class=\"math\"><span id=\"MathJax-Span-833\" class=\"mrow\"><span id=\"MathJax-Span-834\" class=\"mfrac\"><span id=\"MathJax-Span-835\" class=\"mn\">1<\/span><span id=\"MathJax-Span-836\" class=\"mn\">2<\/span><\/span><\/span><\/span><\/span>\u00a0x 136 = 68<\/p>\n<p>Question 9.<br \/>Numbers 50, 42, 35, 2x + 10, 2x \u2013 8, 12, 11, 8 are written in descending order and their median is 25, find x.<br \/>Solution:<br \/>50, 42, 35, 2x + 10, 2x \u2013 8, 12, 11, 8 are in descending order<br \/>Here n = 8 which is even<br \/>Now Median =\u00a0<span id=\"MathJax-Element-64-Frame\" class=\"MathJax\" tabindex=\"0\"><span id=\"MathJax-Span-837\" class=\"math\"><span id=\"MathJax-Span-838\" class=\"mrow\"><span id=\"MathJax-Span-839\" class=\"mfrac\"><span id=\"MathJax-Span-840\" class=\"mn\">1<\/span><span id=\"MathJax-Span-841\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-842\" class=\"mrow\"><span id=\"MathJax-Span-843\" class=\"mo\">[<\/span><span id=\"MathJax-Span-844\" class=\"mfrac\"><span id=\"MathJax-Span-845\" class=\"mi\">n<\/span><span id=\"MathJax-Span-846\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-847\" class=\"mi\">t<\/span><span id=\"MathJax-Span-848\" class=\"mi\">h<\/span><span id=\"MathJax-Span-849\" class=\"mspace\"><\/span><span id=\"MathJax-Span-850\" class=\"mi\">t<\/span><span id=\"MathJax-Span-851\" class=\"mi\">e<\/span><span id=\"MathJax-Span-852\" class=\"mi\">r<\/span><span id=\"MathJax-Span-853\" class=\"mi\">m<\/span><span id=\"MathJax-Span-854\" class=\"mo\">+<\/span><span id=\"MathJax-Span-855\" class=\"mrow\"><span id=\"MathJax-Span-856\" class=\"mo\">(<\/span><span id=\"MathJax-Span-857\" class=\"mfrac\"><span id=\"MathJax-Span-858\" class=\"mi\">n<\/span><span id=\"MathJax-Span-859\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-860\" class=\"mo\">+<\/span><span id=\"MathJax-Span-861\" class=\"mn\">1<\/span><span id=\"MathJax-Span-862\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-863\" class=\"mi\">t<\/span><span id=\"MathJax-Span-864\" class=\"mi\">h<\/span><span id=\"MathJax-Span-865\" class=\"mspace\"><\/span><span id=\"MathJax-Span-866\" class=\"mi\">t<\/span><span id=\"MathJax-Span-867\" class=\"mi\">e<\/span><span id=\"MathJax-Span-868\" class=\"mi\">r<\/span><span id=\"MathJax-Span-869\" class=\"mi\">m<\/span><span id=\"MathJax-Span-870\" class=\"mo\">]<\/span><\/span><\/span><\/span><\/span><br \/>=\u00a0<span id=\"MathJax-Element-65-Frame\" class=\"MathJax\" tabindex=\"0\"><span id=\"MathJax-Span-871\" class=\"math\"><span id=\"MathJax-Span-872\" class=\"mrow\"><span id=\"MathJax-Span-873\" class=\"mfrac\"><span id=\"MathJax-Span-874\" class=\"mn\">1<\/span><span id=\"MathJax-Span-875\" class=\"mn\">2<\/span><\/span><\/span><\/span><\/span>\u00a0[4th term + 5th term] =\u00a0<span id=\"MathJax-Element-66-Frame\" class=\"MathJax\" tabindex=\"0\"><span id=\"MathJax-Span-876\" class=\"math\"><span id=\"MathJax-Span-877\" class=\"mrow\"><span id=\"MathJax-Span-878\" class=\"mfrac\"><span id=\"MathJax-Span-879\" class=\"mn\">1<\/span><span id=\"MathJax-Span-880\" class=\"mn\">2<\/span><\/span><\/span><\/span><\/span>[2x + 10 + 2x \u2013 8]<br \/>=\u00a0<span id=\"MathJax-Element-67-Frame\" class=\"MathJax\" tabindex=\"0\"><span id=\"MathJax-Span-881\" class=\"math\"><span id=\"MathJax-Span-882\" class=\"mrow\"><span id=\"MathJax-Span-883\" class=\"mfrac\"><span id=\"MathJax-Span-884\" class=\"mn\">1<\/span><span id=\"MathJax-Span-885\" class=\"mn\">2<\/span><\/span><\/span><\/span><\/span>\u00a0[4x + 2] = 2x + 1<br \/>But median = 25<br \/>2x + 1 = 25<br \/>=&gt; 2x = 25 \u2013 1 = 24<br \/>=&gt;\u00a0<span id=\"MathJax-Element-68-Frame\" class=\"MathJax\" tabindex=\"0\"><span id=\"MathJax-Span-886\" class=\"math\"><span id=\"MathJax-Span-887\" class=\"mrow\"><span id=\"MathJax-Span-888\" class=\"mfrac\"><span id=\"MathJax-Span-889\" class=\"mn\">24<\/span><span id=\"MathJax-Span-890\" class=\"mn\">2<\/span><\/span><\/span><\/span><\/span>\u00a0= 12<br \/>Hence x = 12<\/p>\n<p>Question 10.<br \/>Find the median of the following observations 46, 64, 87, 41, 58, 77, 35, 90, 55, 92, 33. If 92 is replaced by 99 and 41 by 43 in the above data, find the new median?<br \/>Solution:<br \/>46, 64, 87, 41, 58, 77, 35, 90, 55, 92, 33<br \/>Writing in ascending order = 33, 35, 41, 46, 55, 58, 64, 77, 87, 90, 92<br \/>Here n = 11 which is odd<br \/>Median =\u00a0<span id=\"MathJax-Element-69-Frame\" class=\"MathJax\" tabindex=\"0\"><span id=\"MathJax-Span-891\" class=\"math\"><span id=\"MathJax-Span-892\" class=\"mrow\"><span id=\"MathJax-Span-893\" class=\"mfrac\"><span id=\"MathJax-Span-894\" class=\"mrow\"><span id=\"MathJax-Span-895\" class=\"mi\">n<\/span><span id=\"MathJax-Span-896\" class=\"mo\">+<\/span><span id=\"MathJax-Span-897\" class=\"mn\">1<\/span><\/span><span id=\"MathJax-Span-898\" class=\"mn\">2<\/span><\/span><\/span><\/span><\/span>\u00a0th term<br \/>=\u00a0<span id=\"MathJax-Element-70-Frame\" class=\"MathJax\" tabindex=\"0\"><span id=\"MathJax-Span-899\" class=\"math\"><span id=\"MathJax-Span-900\" class=\"mrow\"><span id=\"MathJax-Span-901\" class=\"mfrac\"><span id=\"MathJax-Span-902\" class=\"mrow\"><span id=\"MathJax-Span-903\" class=\"mn\">11<\/span><span id=\"MathJax-Span-904\" class=\"mo\">+<\/span><span id=\"MathJax-Span-905\" class=\"mn\">1<\/span><\/span><span id=\"MathJax-Span-906\" class=\"mn\">2<\/span><\/span><\/span><\/span><\/span>\u00a0=\u00a0<span id=\"MathJax-Element-71-Frame\" class=\"MathJax\" tabindex=\"0\"><span id=\"MathJax-Span-907\" class=\"math\"><span id=\"MathJax-Span-908\" class=\"mrow\"><span id=\"MathJax-Span-909\" class=\"mfrac\"><span id=\"MathJax-Span-910\" class=\"mn\">12<\/span><span id=\"MathJax-Span-911\" class=\"mn\">2<\/span><\/span><\/span><\/span><\/span><br \/>= 6th term = 58<br \/>By replacing 92 by 93 and 41 by 43, then new order will be<br \/>33, 35, 43, 46, 55, 58, 64, 77, 87, 90, 99<br \/>Median = 6th term = 58<\/p>\n<p>Question 11.<br \/>Find the median of the following data : 41, 43, 127, 99, 61, 92, 71, 58, 57. If 58 is replaced by 85, what will be the new median.<br \/>Solution:<br \/>41, 43, 127, 99, 61, 92, 71, 58, 57<br \/>Arranging in ascending order = 41, 43, 57, 58, 61, 71, 92, 99, 127<br \/>Here n = 9 which is odd<br \/>Median =\u00a0<span id=\"MathJax-Element-72-Frame\" class=\"MathJax\" tabindex=\"0\"><span id=\"MathJax-Span-912\" class=\"math\"><span id=\"MathJax-Span-913\" class=\"mrow\"><span id=\"MathJax-Span-914\" class=\"mfrac\"><span id=\"MathJax-Span-915\" class=\"mrow\"><span id=\"MathJax-Span-916\" class=\"mi\">n<\/span><span id=\"MathJax-Span-917\" class=\"mo\">+<\/span><span id=\"MathJax-Span-918\" class=\"mn\">1<\/span><\/span><span id=\"MathJax-Span-919\" class=\"mn\">2<\/span><\/span><\/span><\/span><\/span>\u00a0th term =\u00a0<span id=\"MathJax-Element-73-Frame\" class=\"MathJax\" tabindex=\"0\"><span id=\"MathJax-Span-920\" class=\"math\"><span id=\"MathJax-Span-921\" class=\"mrow\"><span id=\"MathJax-Span-922\" class=\"mfrac\"><span id=\"MathJax-Span-923\" class=\"mrow\"><span id=\"MathJax-Span-924\" class=\"mn\">9<\/span><span id=\"MathJax-Span-925\" class=\"mo\">+<\/span><span id=\"MathJax-Span-926\" class=\"mn\">1<\/span><\/span><span id=\"MathJax-Span-927\" class=\"mn\">2<\/span><\/span><\/span><\/span><\/span>\u00a0th term<br \/>=\u00a0<span id=\"MathJax-Element-74-Frame\" class=\"MathJax\" tabindex=\"0\"><span id=\"MathJax-Span-928\" class=\"math\"><span id=\"MathJax-Span-929\" class=\"mrow\"><span id=\"MathJax-Span-930\" class=\"mfrac\"><span id=\"MathJax-Span-931\" class=\"mn\">10<\/span><span id=\"MathJax-Span-932\" class=\"mn\">2<\/span><\/span><\/span><\/span><\/span>\u00a0= 5th term = 61<br \/>By change 58 by 92, we get new order = 41, 43, 57, 61, 71, 92, 92, 99, 127<br \/>Median = 5th term = 71<\/p>\n<p>Question 12.<br \/>The weights (in kg) of 15 students are : 31, 35, 27, 29, 32, 43, 37, 41, 34, 28, 36, 44, 45, 42, 30. Find the median. If the weight 44 kg is replaced by 46 kg and 27 kg by 25 kg, find the new median.<br \/>Solution:<br \/>Weights of 15 students are 31, 35, 27, 29, 32, 43, 37, 41, 34, 28, 36, 44, 45, 42, 30<br \/>Writing in ascending order = 27, 28, 29, 30, 31, 32, 34, 35, 36, 37, 41, 42, 43, 44, 45<br \/>here n = 15 which is odd<br \/>n+1 15+1<br \/>Median =\u00a0<span id=\"MathJax-Element-75-Frame\" class=\"MathJax\" tabindex=\"0\"><span id=\"MathJax-Span-933\" class=\"math\"><span id=\"MathJax-Span-934\" class=\"mrow\"><span id=\"MathJax-Span-935\" class=\"mfrac\"><span id=\"MathJax-Span-936\" class=\"mrow\"><span id=\"MathJax-Span-937\" class=\"mi\">n<\/span><span id=\"MathJax-Span-938\" class=\"mo\">+<\/span><span id=\"MathJax-Span-939\" class=\"mn\">1<\/span><\/span><span id=\"MathJax-Span-940\" class=\"mn\">2<\/span><\/span><\/span><\/span><\/span>\u00a0th term =\u00a0<span id=\"MathJax-Element-76-Frame\" class=\"MathJax\" tabindex=\"0\"><span id=\"MathJax-Span-941\" class=\"math\"><span id=\"MathJax-Span-942\" class=\"mrow\"><span id=\"MathJax-Span-943\" class=\"mfrac\"><span id=\"MathJax-Span-944\" class=\"mrow\"><span id=\"MathJax-Span-945\" class=\"mn\">15<\/span><span id=\"MathJax-Span-946\" class=\"mo\">+<\/span><span id=\"MathJax-Span-947\" class=\"mn\">1<\/span><\/span><span id=\"MathJax-Span-948\" class=\"mn\">2<\/span><\/span><\/span><\/span><\/span><br \/>=\u00a0<span id=\"MathJax-Element-77-Frame\" class=\"MathJax\" tabindex=\"0\"><span id=\"MathJax-Span-949\" class=\"math\"><span id=\"MathJax-Span-950\" class=\"mrow\"><span id=\"MathJax-Span-951\" class=\"mfrac\"><span id=\"MathJax-Span-952\" class=\"mn\">16<\/span><span id=\"MathJax-Span-953\" class=\"mn\">2<\/span><\/span><\/span><\/span><\/span>th term = 8th term = 35 kg<br \/>By replacing 44 kg by 46 kg and 27 kg by 25 kg we get new order,<br \/>25, 28, 29, 30, 31, 32, 34, 35, 36, 37, 41, 42, 43, 45, 46<br \/>Median = 8th term = 35 kg<\/p>\n<p>Question 13.<br \/>The following observations have been arranged in ascending order. If the median of the data is 63, find the value of x: 29, 32, 48, 50, x, x + 2, 72, 78, 84, 95<br \/>Solution:<br \/>Median = 63<br \/>29, 32, 48, 50, x, x + 2, 72, 78, 84, 95<br \/>Here n = 10 which is even<br \/>median =\u00a0<span id=\"MathJax-Element-78-Frame\" class=\"MathJax\" tabindex=\"0\"><span id=\"MathJax-Span-954\" class=\"math\"><span id=\"MathJax-Span-955\" class=\"mrow\"><span id=\"MathJax-Span-956\" class=\"mfrac\"><span id=\"MathJax-Span-957\" class=\"mn\">1<\/span><span id=\"MathJax-Span-958\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-959\" class=\"mrow\"><span id=\"MathJax-Span-960\" class=\"mo\">[<\/span><span id=\"MathJax-Span-961\" class=\"mfrac\"><span id=\"MathJax-Span-962\" class=\"mi\">n<\/span><span id=\"MathJax-Span-963\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-964\" class=\"mi\">t<\/span><span id=\"MathJax-Span-965\" class=\"mi\">h<\/span><span id=\"MathJax-Span-966\" class=\"mspace\"><\/span><span id=\"MathJax-Span-967\" class=\"mi\">t<\/span><span id=\"MathJax-Span-968\" class=\"mi\">e<\/span><span id=\"MathJax-Span-969\" class=\"mi\">r<\/span><span id=\"MathJax-Span-970\" class=\"mi\">m<\/span><span id=\"MathJax-Span-971\" class=\"mo\">+<\/span><span id=\"MathJax-Span-972\" class=\"mrow\"><span id=\"MathJax-Span-973\" class=\"mo\">(<\/span><span id=\"MathJax-Span-974\" class=\"mfrac\"><span id=\"MathJax-Span-975\" class=\"mi\">n<\/span><span id=\"MathJax-Span-976\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-977\" class=\"mo\">+<\/span><span id=\"MathJax-Span-978\" class=\"mn\">1<\/span><span id=\"MathJax-Span-979\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-980\" class=\"mi\">t<\/span><span id=\"MathJax-Span-981\" class=\"mi\">h<\/span><span id=\"MathJax-Span-982\" class=\"mspace\"><\/span><span id=\"MathJax-Span-983\" class=\"mi\">t<\/span><span id=\"MathJax-Span-984\" class=\"mi\">e<\/span><span id=\"MathJax-Span-985\" class=\"mi\">r<\/span><span id=\"MathJax-Span-986\" class=\"mi\">m<\/span><span id=\"MathJax-Span-987\" class=\"mo\">]<\/span><\/span><\/span><\/span><\/span><br \/>=\u00a0<span id=\"MathJax-Element-79-Frame\" class=\"MathJax\" tabindex=\"0\"><span id=\"MathJax-Span-988\" class=\"math\"><span id=\"MathJax-Span-989\" class=\"mrow\"><span id=\"MathJax-Span-990\" class=\"mfrac\"><span id=\"MathJax-Span-991\" class=\"mn\">1<\/span><span id=\"MathJax-Span-992\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-993\" class=\"mrow\"><span id=\"MathJax-Span-994\" class=\"mo\">[<\/span><span id=\"MathJax-Span-995\" class=\"mfrac\"><span id=\"MathJax-Span-996\" class=\"mn\">10<\/span><span id=\"MathJax-Span-997\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-998\" class=\"mi\">t<\/span><span id=\"MathJax-Span-999\" class=\"mi\">h<\/span><span id=\"MathJax-Span-1000\" class=\"mspace\"><\/span><span id=\"MathJax-Span-1001\" class=\"mi\">t<\/span><span id=\"MathJax-Span-1002\" class=\"mi\">e<\/span><span id=\"MathJax-Span-1003\" class=\"mi\">r<\/span><span id=\"MathJax-Span-1004\" class=\"mi\">m<\/span><span id=\"MathJax-Span-1005\" class=\"mo\">+<\/span><span id=\"MathJax-Span-1006\" class=\"mrow\"><span id=\"MathJax-Span-1007\" class=\"mo\">(<\/span><span id=\"MathJax-Span-1008\" class=\"mfrac\"><span id=\"MathJax-Span-1009\" class=\"mn\">10<\/span><span id=\"MathJax-Span-1010\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-1011\" class=\"mo\">+<\/span><span id=\"MathJax-Span-1012\" class=\"mn\">1<\/span><span id=\"MathJax-Span-1013\" class=\"mo\">)<\/span><\/span><span id=\"MathJax-Span-1014\" class=\"mi\">t<\/span><span id=\"MathJax-Span-1015\" class=\"mi\">h<\/span><span id=\"MathJax-Span-1016\" class=\"mspace\"><\/span><span id=\"MathJax-Span-1017\" class=\"mi\">t<\/span><span id=\"MathJax-Span-1018\" class=\"mi\">e<\/span><span id=\"MathJax-Span-1019\" class=\"mi\">r<\/span><span id=\"MathJax-Span-1020\" class=\"mi\">m<\/span><span id=\"MathJax-Span-1021\" class=\"mo\">]<\/span><\/span><\/span><\/span><\/span><br \/>=\u00a0<span id=\"MathJax-Element-80-Frame\" class=\"MathJax\" tabindex=\"0\"><span id=\"MathJax-Span-1022\" class=\"math\"><span id=\"MathJax-Span-1023\" class=\"mrow\"><span id=\"MathJax-Span-1024\" class=\"mfrac\"><span id=\"MathJax-Span-1025\" class=\"mn\">1<\/span><span id=\"MathJax-Span-1026\" class=\"mn\">2<\/span><\/span><\/span><\/span><\/span>\u00a0[5th term + 6th term]<br \/>=\u00a0<span id=\"MathJax-Element-81-Frame\" class=\"MathJax\" tabindex=\"0\"><span id=\"MathJax-Span-1027\" class=\"math\"><span id=\"MathJax-Span-1028\" class=\"mrow\"><span id=\"MathJax-Span-1029\" class=\"mfrac\"><span id=\"MathJax-Span-1030\" class=\"mn\">16<\/span><span id=\"MathJax-Span-1031\" class=\"mn\">2<\/span><\/span><\/span><\/span><\/span>\u00a0[x+x+2] =\u00a0<span id=\"MathJax-Element-82-Frame\" class=\"MathJax\" tabindex=\"0\"><span id=\"MathJax-Span-1032\" class=\"math\"><span id=\"MathJax-Span-1033\" class=\"mrow\"><span id=\"MathJax-Span-1034\" class=\"mfrac\"><span id=\"MathJax-Span-1035\" class=\"mrow\"><span id=\"MathJax-Span-1036\" class=\"mn\">2<\/span><span id=\"MathJax-Span-1037\" class=\"mi\">x<\/span><span id=\"MathJax-Span-1038\" class=\"mo\">+<\/span><span id=\"MathJax-Span-1039\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-1040\" class=\"mn\">2<\/span><\/span><\/span><\/span><\/span>\u00a0= x + 1<br \/>x + 1 = 63 = x = 63 \u2013 1 = 62<br \/>Hence x = 62<\/p>\n<p>We have included all the information regarding <a href=\"https:\/\/cbse.nic.in\/\" target=\"_blank\" rel=\"noopener\">CBSE<\/a> RD Sharma Class 9 Solutions Chapter 24 Exercise 24.3<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-24-exercise-243\"><\/span>FAQ: RD Sharma Class 9 Solutions Chapter 24 Exercise 24.3<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-1631025167784\" 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-24-exercise-243-pdf-on-my-smartphone\"><\/span>Can I open RD Sharma Class 9 Solutions Chapter 24 Exercise 24.3 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 24 Exercise 24.3 PDF on any device.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1631025284313\" 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-24-exercise-243\"><\/span>What are the benefits of studying from RD Sharma Class 9 Solutions Chapter 24 Exercise 24.3?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>By practicing RD Sharma Class 9 Solutions Chapter 24 Exercise 24.3, 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-1631025286763\" 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-24-exercise-243-pdf-free\"><\/span>Can I download RD Sharma Class 9 Solutions Chapter 24 Exercise 24.3 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 23 Exercise 24.3 PDF free.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1631025289678\" 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 24 Exercise 24.3: You can get the PDF for RD Sharma Class 9 Solutions Maths Chapter 24 Exercise 24.3 for free. This PDF is created by our expert team. These solutions will be very beneficial for your Class 9 exams. Students can look at these solutions even during their &#8230; <a title=\"RD Sharma Class 9 Solutions Chapter 24 Exercise 24.3 (Updated for 2021-22)\" class=\"read-more\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-class-9-solutions-chapter-24-exercise-24-3\/\" aria-label=\"More on RD Sharma Class 9 Solutions Chapter 24 Exercise 24.3 (Updated for 2021-22)\">Read more<\/a><\/p>\n","protected":false},"author":244,"featured_media":126653,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"","fifu_image_alt":""},"categories":[73719],"tags":[76786,76813],"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/125104"}],"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=125104"}],"version-history":[{"count":5,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/125104\/revisions"}],"predecessor-version":[{"id":126666,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/125104\/revisions\/126666"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media\/126653"}],"wp:attachment":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media?parent=125104"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/categories?post=125104"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/tags?post=125104"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}