{"id":43772,"date":"2022-05-29T17:00:49","date_gmt":"2022-05-29T11:30:49","guid":{"rendered":"https:\/\/cbselibrary.com\/?p=43772"},"modified":"2023-01-25T14:18:11","modified_gmt":"2023-01-25T08:48:11","slug":"ml-aggarwal-class-6-solutions-for-icse-maths-chapter-15-ex-15-5","status":"publish","type":"post","link":"https:\/\/cbselibrary.com\/ml-aggarwal-class-6-solutions-for-icse-maths-chapter-15-ex-15-5\/","title":{"rendered":"ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 15 Data Handling Ex 15.5"},"content":{"rendered":"

ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 15 Data Handling Ex 15.5<\/h2>\n

Question 1.
\nFind the median of the following data:
\n(i) 3, 1, 5, 6, 3, 4, 5
\n(ii) 3, 1, 5, 6, 3, 4, 5, 6
\nSolution:
\n(i) Arrange the data in ascending order
\nWe get, 1, 3, 3, 4, 5, 5, 6
\n\u2234 Median = \\(\\left(\\frac{n+1}{2}\\right)^{t h}\\) term
\n= \\(\\left(\\frac{7+1}{2}\\right)^{\\text { th }}\\) = 4th<\/sup> term<\/p>\n

(ii) After arranging data, we get
\n1, 3, 3, 4, 5, 5, 6, 6
\n\u2234 Median = \\(\\frac{4+5}{2}=\\frac{9}{2}=4 \\cdot 5\\)<\/p>\n

Question 2.
\nCalculate the mean, the median and the mode of the numbers :
\n1, 3, 2, 6, 2, 3, 1, 3
\nSolution:
\n(a) Mean = \\(\\frac{1+3+2+6+2+3+1+3}{8}\\)
\n= \\(\\frac{21}{8}\\) = 2.625
\nHence mean = 2.625<\/p>\n

(b) Arranging the given data in ascending order, we get
\n1, 1, 2, 2, 3, 3, 3,6
\nTotal number of observations (items) = 8 (even).
\nThere are two middle items : – 2 and 3.
\nTheir average = \\(\\frac{2+3}{2}=\\frac{5}{2}=2 \\cdot 5\\)
\nHence the median of the given numbers = 2.5.<\/p>\n

(c) In the given numbers,
\n3 is repeated more number of time than any other number.
\n\u2234 Mode = 3.<\/p>\n

Question 3.
\nCalculate the mean, the median and the mode of the following numbers :
\n3, 7, 2, 5, 3, 4, 1, 5, 3, 6
\nSolution:
\n(a) Mean = \\(\\frac{3+7+2+5+3+4+1+5+3+6}{10}=\\frac{39}{10}=3 \\cdot 9\\)
\nHence the mean = 3.9<\/p>\n

(b) Arranging the given data in ascending order, we get,
\n1, 2, 3, 3, 3, 4, 5, 5, 6, 7
\nTotal numbers of obvervations (items) = 10 (even)
\nThere are two middle items – 3 and 4
\nTheir average = \\(\\frac{3+4}{2}=\\frac{7}{2}=3 \\cdot 5\\)
\nHence the median of the given numbers = 3.5<\/p>\n

(c) In the given numbers 3 is repeated more than any other number
\n\u2234 Mode = 3<\/p>\n

ML Aggarwal Class 6 Solutions for ICSE Maths<\/a><\/h4>\n","protected":false},"excerpt":{"rendered":"

ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 15 Data Handling Ex 15.5 Question 1. Find the median of the following data: (i) 3, 1, 5, 6, 3, 4, 5 (ii) 3, 1, 5, 6, 3, 4, 5, 6 Solution: (i) Arrange the data in ascending order We get, 1, 3, 3, 4, 5, … Read more<\/a><\/p>\n","protected":false},"author":5,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[3034],"tags":[],"yoast_head":"\nML Aggarwal Class 6 Solutions for ICSE Maths Chapter 15 Data Handling Ex 15.5 - CBSE Library<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/cbselibrary.com\/ml-aggarwal-class-6-solutions-for-icse-maths-chapter-15-ex-15-5\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 15 Data Handling Ex 15.5\" \/>\n<meta property=\"og:description\" content=\"ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 15 Data Handling Ex 15.5 Question 1. Find the median of the following data: (i) 3, 1, 5, 6, 3, 4, 5 (ii) 3, 1, 5, 6, 3, 4, 5, 6 Solution: (i) Arrange the data in ascending order We get, 1, 3, 3, 4, 5, ... Read more\" \/>\n<meta property=\"og:url\" content=\"https:\/\/cbselibrary.com\/ml-aggarwal-class-6-solutions-for-icse-maths-chapter-15-ex-15-5\/\" \/>\n<meta property=\"og:site_name\" content=\"CBSE Library\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/aplustopper\/\" \/>\n<meta property=\"article:published_time\" content=\"2022-05-29T11:30:49+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2023-01-25T08:48:11+00:00\" \/>\n<meta name=\"twitter:card\" content=\"summary\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"Prasanna\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minute\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Organization\",\"@id\":\"https:\/\/cbselibrary.com\/#organization\",\"name\":\"Aplus Topper\",\"url\":\"https:\/\/cbselibrary.com\/\",\"sameAs\":[\"https:\/\/www.facebook.com\/aplustopper\/\"],\"logo\":{\"@type\":\"ImageObject\",\"@id\":\"https:\/\/cbselibrary.com\/#logo\",\"inLanguage\":\"en-US\",\"url\":\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2018\/12\/Aplus_380x90-logo.jpg\",\"contentUrl\":\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2018\/12\/Aplus_380x90-logo.jpg\",\"width\":1585,\"height\":375,\"caption\":\"Aplus Topper\"},\"image\":{\"@id\":\"https:\/\/cbselibrary.com\/#logo\"}},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/cbselibrary.com\/#website\",\"url\":\"https:\/\/cbselibrary.com\/\",\"name\":\"CBSE Library\",\"description\":\"Improve your Grades\",\"publisher\":{\"@id\":\"https:\/\/cbselibrary.com\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/cbselibrary.com\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"en-US\"},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/cbselibrary.com\/ml-aggarwal-class-6-solutions-for-icse-maths-chapter-15-ex-15-5\/#webpage\",\"url\":\"https:\/\/cbselibrary.com\/ml-aggarwal-class-6-solutions-for-icse-maths-chapter-15-ex-15-5\/\",\"name\":\"ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 15 Data Handling Ex 15.5 - CBSE Library\",\"isPartOf\":{\"@id\":\"https:\/\/cbselibrary.com\/#website\"},\"datePublished\":\"2022-05-29T11:30:49+00:00\",\"dateModified\":\"2023-01-25T08:48:11+00:00\",\"breadcrumb\":{\"@id\":\"https:\/\/cbselibrary.com\/ml-aggarwal-class-6-solutions-for-icse-maths-chapter-15-ex-15-5\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/cbselibrary.com\/ml-aggarwal-class-6-solutions-for-icse-maths-chapter-15-ex-15-5\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/cbselibrary.com\/ml-aggarwal-class-6-solutions-for-icse-maths-chapter-15-ex-15-5\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/cbselibrary.com\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 15 Data Handling Ex 15.5\"}]},{\"@type\":\"Article\",\"@id\":\"https:\/\/cbselibrary.com\/ml-aggarwal-class-6-solutions-for-icse-maths-chapter-15-ex-15-5\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/cbselibrary.com\/ml-aggarwal-class-6-solutions-for-icse-maths-chapter-15-ex-15-5\/#webpage\"},\"author\":{\"@id\":\"https:\/\/cbselibrary.com\/#\/schema\/person\/2533e4338ba14fc0e4001efcca2f8794\"},\"headline\":\"ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 15 Data Handling Ex 15.5\",\"datePublished\":\"2022-05-29T11:30:49+00:00\",\"dateModified\":\"2023-01-25T08:48:11+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/cbselibrary.com\/ml-aggarwal-class-6-solutions-for-icse-maths-chapter-15-ex-15-5\/#webpage\"},\"wordCount\":230,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\/\/cbselibrary.com\/#organization\"},\"articleSection\":[\"ICSE\"],\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\/\/cbselibrary.com\/ml-aggarwal-class-6-solutions-for-icse-maths-chapter-15-ex-15-5\/#respond\"]}]},{\"@type\":\"Person\",\"@id\":\"https:\/\/cbselibrary.com\/#\/schema\/person\/2533e4338ba14fc0e4001efcca2f8794\",\"name\":\"Prasanna\",\"image\":{\"@type\":\"ImageObject\",\"@id\":\"https:\/\/cbselibrary.com\/#personlogo\",\"inLanguage\":\"en-US\",\"url\":\"https:\/\/secure.gravatar.com\/avatar\/174540ad43736c7d1a4c4f83c775e74d?s=96&d=mm&r=g\",\"contentUrl\":\"https:\/\/secure.gravatar.com\/avatar\/174540ad43736c7d1a4c4f83c775e74d?s=96&d=mm&r=g\",\"caption\":\"Prasanna\"},\"url\":\"https:\/\/cbselibrary.com\/author\/prasanna\/\"}]}<\/script>\n<!-- \/ Yoast SEO Premium plugin. -->","yoast_head_json":{"title":"ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 15 Data Handling Ex 15.5 - CBSE Library","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/cbselibrary.com\/ml-aggarwal-class-6-solutions-for-icse-maths-chapter-15-ex-15-5\/","og_locale":"en_US","og_type":"article","og_title":"ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 15 Data Handling Ex 15.5","og_description":"ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 15 Data Handling Ex 15.5 Question 1. Find the median of the following data: (i) 3, 1, 5, 6, 3, 4, 5 (ii) 3, 1, 5, 6, 3, 4, 5, 6 Solution: (i) Arrange the data in ascending order We get, 1, 3, 3, 4, 5, ... Read more","og_url":"https:\/\/cbselibrary.com\/ml-aggarwal-class-6-solutions-for-icse-maths-chapter-15-ex-15-5\/","og_site_name":"CBSE Library","article_publisher":"https:\/\/www.facebook.com\/aplustopper\/","article_published_time":"2022-05-29T11:30:49+00:00","article_modified_time":"2023-01-25T08:48:11+00:00","twitter_card":"summary","twitter_misc":{"Written by":"Prasanna","Est. reading time":"1 minute"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Organization","@id":"https:\/\/cbselibrary.com\/#organization","name":"Aplus Topper","url":"https:\/\/cbselibrary.com\/","sameAs":["https:\/\/www.facebook.com\/aplustopper\/"],"logo":{"@type":"ImageObject","@id":"https:\/\/cbselibrary.com\/#logo","inLanguage":"en-US","url":"https:\/\/cbselibrary.com\/wp-content\/uploads\/2018\/12\/Aplus_380x90-logo.jpg","contentUrl":"https:\/\/cbselibrary.com\/wp-content\/uploads\/2018\/12\/Aplus_380x90-logo.jpg","width":1585,"height":375,"caption":"Aplus Topper"},"image":{"@id":"https:\/\/cbselibrary.com\/#logo"}},{"@type":"WebSite","@id":"https:\/\/cbselibrary.com\/#website","url":"https:\/\/cbselibrary.com\/","name":"CBSE Library","description":"Improve your Grades","publisher":{"@id":"https:\/\/cbselibrary.com\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/cbselibrary.com\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"en-US"},{"@type":"WebPage","@id":"https:\/\/cbselibrary.com\/ml-aggarwal-class-6-solutions-for-icse-maths-chapter-15-ex-15-5\/#webpage","url":"https:\/\/cbselibrary.com\/ml-aggarwal-class-6-solutions-for-icse-maths-chapter-15-ex-15-5\/","name":"ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 15 Data Handling Ex 15.5 - CBSE Library","isPartOf":{"@id":"https:\/\/cbselibrary.com\/#website"},"datePublished":"2022-05-29T11:30:49+00:00","dateModified":"2023-01-25T08:48:11+00:00","breadcrumb":{"@id":"https:\/\/cbselibrary.com\/ml-aggarwal-class-6-solutions-for-icse-maths-chapter-15-ex-15-5\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/cbselibrary.com\/ml-aggarwal-class-6-solutions-for-icse-maths-chapter-15-ex-15-5\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/cbselibrary.com\/ml-aggarwal-class-6-solutions-for-icse-maths-chapter-15-ex-15-5\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/cbselibrary.com\/"},{"@type":"ListItem","position":2,"name":"ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 15 Data Handling Ex 15.5"}]},{"@type":"Article","@id":"https:\/\/cbselibrary.com\/ml-aggarwal-class-6-solutions-for-icse-maths-chapter-15-ex-15-5\/#article","isPartOf":{"@id":"https:\/\/cbselibrary.com\/ml-aggarwal-class-6-solutions-for-icse-maths-chapter-15-ex-15-5\/#webpage"},"author":{"@id":"https:\/\/cbselibrary.com\/#\/schema\/person\/2533e4338ba14fc0e4001efcca2f8794"},"headline":"ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 15 Data Handling Ex 15.5","datePublished":"2022-05-29T11:30:49+00:00","dateModified":"2023-01-25T08:48:11+00:00","mainEntityOfPage":{"@id":"https:\/\/cbselibrary.com\/ml-aggarwal-class-6-solutions-for-icse-maths-chapter-15-ex-15-5\/#webpage"},"wordCount":230,"commentCount":0,"publisher":{"@id":"https:\/\/cbselibrary.com\/#organization"},"articleSection":["ICSE"],"inLanguage":"en-US","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["https:\/\/cbselibrary.com\/ml-aggarwal-class-6-solutions-for-icse-maths-chapter-15-ex-15-5\/#respond"]}]},{"@type":"Person","@id":"https:\/\/cbselibrary.com\/#\/schema\/person\/2533e4338ba14fc0e4001efcca2f8794","name":"Prasanna","image":{"@type":"ImageObject","@id":"https:\/\/cbselibrary.com\/#personlogo","inLanguage":"en-US","url":"https:\/\/secure.gravatar.com\/avatar\/174540ad43736c7d1a4c4f83c775e74d?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/174540ad43736c7d1a4c4f83c775e74d?s=96&d=mm&r=g","caption":"Prasanna"},"url":"https:\/\/cbselibrary.com\/author\/prasanna\/"}]}},"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/cbselibrary.com\/wp-json\/wp\/v2\/posts\/43772"}],"collection":[{"href":"https:\/\/cbselibrary.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/cbselibrary.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/cbselibrary.com\/wp-json\/wp\/v2\/users\/5"}],"replies":[{"embeddable":true,"href":"https:\/\/cbselibrary.com\/wp-json\/wp\/v2\/comments?post=43772"}],"version-history":[{"count":1,"href":"https:\/\/cbselibrary.com\/wp-json\/wp\/v2\/posts\/43772\/revisions"}],"predecessor-version":[{"id":152522,"href":"https:\/\/cbselibrary.com\/wp-json\/wp\/v2\/posts\/43772\/revisions\/152522"}],"wp:attachment":[{"href":"https:\/\/cbselibrary.com\/wp-json\/wp\/v2\/media?parent=43772"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/cbselibrary.com\/wp-json\/wp\/v2\/categories?post=43772"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/cbselibrary.com\/wp-json\/wp\/v2\/tags?post=43772"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}