{"id":12631,"date":"2022-12-20T18:58:34","date_gmt":"2022-12-20T13:28:34","guid":{"rendered":"https:\/\/mathemerize.com\/?p=12631"},"modified":"2022-12-20T18:58:48","modified_gmt":"2022-12-20T13:28:48","slug":"if-the-median-of-the-distribution-given-below-is-28-5-find-the-value-of-x-and-y","status":"publish","type":"post","link":"https:\/\/mathemerize.com\/if-the-median-of-the-distribution-given-below-is-28-5-find-the-value-of-x-and-y\/","title":{"rendered":"If the median of the distribution given below is 28.5, find the value of x and y."},"content":{"rendered":"\n

Question :<\/h2>\n\n\n\n
Class Interval<\/td>0 – 10<\/td>10 – 20<\/td>20 – 30<\/td>30 – 40<\/td>40 – 50<\/td>50 – 60<\/td>Total<\/td><\/tr>
Frequency<\/td>5<\/td>x<\/td>20<\/td>15<\/td>y<\/td>5<\/td>60<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

Solution :<\/h2>\n\n\n\n

Here, it is given that median is 28.5<\/p>\n\n\n\n

and n = 60<\/p>\n\n\n\n

We now prepare the following cumulative frequency table :<\/p>\n\n\n\n

Class Interval<\/td>Frequency<\/td>Cumulative Frequency<\/td><\/tr>
0 – 10<\/td>5<\/td>5<\/td><\/tr>
10 – 20<\/td>x<\/td>5 + x<\/td><\/tr>
20 – 30<\/td>20<\/td>25 + x<\/td><\/tr>
30 – 40<\/td>15<\/td>40 + x<\/td><\/tr>
40 – 50<\/td>y<\/td>40 + x + y<\/td><\/tr>
50 – 60<\/td>5<\/td>45 + x + y = 60<\/td><\/tr>
Total<\/td>n = 60<\/td><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

Here, n = 60 So, \\(n\\over 2\\) = 30<\/p>\n\n\n\n

Since the median is given to be 28.5, thus the median class is (20 – 30).<\/p>\n\n\n\n

\\(\\therefore\\) l = 20, h = 10, f = 20 and cf = 5 + x<\/p>\n\n\n\n

\\(\\therefore\\) Median = l + (\\({n\\over 2} – cf\\over f\\)) \\(\\times\\) h<\/p>\n\n\n\n

\\(\\implies\\) 28.5 = 20 + \\(30 – (5 + x)\\over 20\\) \\(\\times\\) 10<\/p>\n\n\n\n

\\(\\implies\\) 57 = 40 + 28 – x \\(\\implies\\) x = 65 – 57 = 8<\/p>\n\n\n\n

Also, 45 + x + y = 60<\/p>\n\n\n\n

So, y = 7<\/p>\n\n\n\n

Hence, x = 8 and y = 7<\/strong>.<\/p>\n","protected":false},"excerpt":{"rendered":"

Question : Class Interval 0 – 10 10 – 20 20 – 30 30 – 40 40 – 50 50 – 60 Total Frequency 5 x 20 15 y 5 60 Solution : Here, it is given that median is 28.5 and n = 60 We now prepare the following cumulative frequency table : Class …<\/p>\n

If the median of the distribution given below is 28.5, find the value of x and y.<\/span> Read More »<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"default","ast-global-header-display":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":""},"categories":[43,58],"tags":[],"yoast_head":"\nIf the median of the distribution given below is 28.5, find the value of x and y. - Mathemerize<\/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:\/\/mathemerize.com\/if-the-median-of-the-distribution-given-below-is-28-5-find-the-value-of-x-and-y\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"If the median of the distribution given below is 28.5, find the value of x and y. - Mathemerize\" \/>\n<meta property=\"og:description\" content=\"Question : Class Interval 0 – 10 10 – 20 20 – 30 30 – 40 40 – 50 50 – 60 Total Frequency 5 x 20 15 y 5 60 Solution : Here, it is given that median is 28.5 and n = 60 We now prepare the following cumulative frequency table : Class … If the median of the distribution given below is 28.5, find the value of x and y. Read More »\" \/>\n<meta property=\"og:url\" content=\"https:\/\/mathemerize.com\/if-the-median-of-the-distribution-given-below-is-28-5-find-the-value-of-x-and-y\/\" \/>\n<meta property=\"og:site_name\" content=\"Mathemerize\" \/>\n<meta property=\"article:published_time\" content=\"2022-12-20T13:28:34+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2022-12-20T13:28:48+00:00\" \/>\n<meta name=\"author\" content=\"mathemerize\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"mathemerize\" \/>\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\":\"Article\",\"@id\":\"https:\/\/mathemerize.com\/if-the-median-of-the-distribution-given-below-is-28-5-find-the-value-of-x-and-y\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/mathemerize.com\/if-the-median-of-the-distribution-given-below-is-28-5-find-the-value-of-x-and-y\/\"},\"author\":{\"name\":\"mathemerize\",\"@id\":\"https:\/\/mathemerize.com\/#\/schema\/person\/104c8bc54f90618130a6665299bc55df\"},\"headline\":\"If the median of the distribution given below is 28.5, find the value of x and y.\",\"datePublished\":\"2022-12-20T13:28:34+00:00\",\"dateModified\":\"2022-12-20T13:28:48+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/mathemerize.com\/if-the-median-of-the-distribution-given-below-is-28-5-find-the-value-of-x-and-y\/\"},\"wordCount\":125,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\/\/mathemerize.com\/#organization\"},\"articleSection\":[\"Maths Questions\",\"Statistics Questions\"],\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\/\/mathemerize.com\/if-the-median-of-the-distribution-given-below-is-28-5-find-the-value-of-x-and-y\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/mathemerize.com\/if-the-median-of-the-distribution-given-below-is-28-5-find-the-value-of-x-and-y\/\",\"url\":\"https:\/\/mathemerize.com\/if-the-median-of-the-distribution-given-below-is-28-5-find-the-value-of-x-and-y\/\",\"name\":\"If the median of the distribution given below is 28.5, find the value of x and y. - Mathemerize\",\"isPartOf\":{\"@id\":\"https:\/\/mathemerize.com\/#website\"},\"datePublished\":\"2022-12-20T13:28:34+00:00\",\"dateModified\":\"2022-12-20T13:28:48+00:00\",\"breadcrumb\":{\"@id\":\"https:\/\/mathemerize.com\/if-the-median-of-the-distribution-given-below-is-28-5-find-the-value-of-x-and-y\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/mathemerize.com\/if-the-median-of-the-distribution-given-below-is-28-5-find-the-value-of-x-and-y\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/mathemerize.com\/if-the-median-of-the-distribution-given-below-is-28-5-find-the-value-of-x-and-y\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/mathemerize.com\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"If the median of the distribution given below is 28.5, find the value of x and y.\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/mathemerize.com\/#website\",\"url\":\"https:\/\/mathemerize.com\/\",\"name\":\"Mathemerize\",\"description\":\"Maths Tutorials - Study Math Online\",\"publisher\":{\"@id\":\"https:\/\/mathemerize.com\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/mathemerize.com\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"en-US\"},{\"@type\":\"Organization\",\"@id\":\"https:\/\/mathemerize.com\/#organization\",\"name\":\"Mathemerize\",\"url\":\"https:\/\/mathemerize.com\/\",\"logo\":{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\/\/mathemerize.com\/#\/schema\/logo\/image\/\",\"url\":\"https:\/\/i1.wp.com\/mathemerize.com\/wp-content\/uploads\/2021\/05\/logo.png?fit=140%2C96&ssl=1\",\"contentUrl\":\"https:\/\/i1.wp.com\/mathemerize.com\/wp-content\/uploads\/2021\/05\/logo.png?fit=140%2C96&ssl=1\",\"width\":140,\"height\":96,\"caption\":\"Mathemerize\"},\"image\":{\"@id\":\"https:\/\/mathemerize.com\/#\/schema\/logo\/image\/\"},\"sameAs\":[\"https:\/\/www.instagram.com\/mathemerize\/\"]},{\"@type\":\"Person\",\"@id\":\"https:\/\/mathemerize.com\/#\/schema\/person\/104c8bc54f90618130a6665299bc55df\",\"name\":\"mathemerize\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\/\/mathemerize.com\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/secure.gravatar.com\/avatar\/f0649d8b9c9f4ba7f1682b12d040d2a3?s=96&d=mm&r=g\",\"contentUrl\":\"https:\/\/secure.gravatar.com\/avatar\/f0649d8b9c9f4ba7f1682b12d040d2a3?s=96&d=mm&r=g\",\"caption\":\"mathemerize\"},\"sameAs\":[\"https:\/\/mathemerize.com\"],\"url\":\"https:\/\/mathemerize.com\/author\/mathemerize\/\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"If the median of the distribution given below is 28.5, find the value of x and y. - Mathemerize","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:\/\/mathemerize.com\/if-the-median-of-the-distribution-given-below-is-28-5-find-the-value-of-x-and-y\/","og_locale":"en_US","og_type":"article","og_title":"If the median of the distribution given below is 28.5, find the value of x and y. - Mathemerize","og_description":"Question : Class Interval 0 – 10 10 – 20 20 – 30 30 – 40 40 – 50 50 – 60 Total Frequency 5 x 20 15 y 5 60 Solution : Here, it is given that median is 28.5 and n = 60 We now prepare the following cumulative frequency table : Class … If the median of the distribution given below is 28.5, find the value of x and y. Read More »","og_url":"https:\/\/mathemerize.com\/if-the-median-of-the-distribution-given-below-is-28-5-find-the-value-of-x-and-y\/","og_site_name":"Mathemerize","article_published_time":"2022-12-20T13:28:34+00:00","article_modified_time":"2022-12-20T13:28:48+00:00","author":"mathemerize","twitter_card":"summary_large_image","twitter_misc":{"Written by":"mathemerize","Est. reading time":"1 minute"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/mathemerize.com\/if-the-median-of-the-distribution-given-below-is-28-5-find-the-value-of-x-and-y\/#article","isPartOf":{"@id":"https:\/\/mathemerize.com\/if-the-median-of-the-distribution-given-below-is-28-5-find-the-value-of-x-and-y\/"},"author":{"name":"mathemerize","@id":"https:\/\/mathemerize.com\/#\/schema\/person\/104c8bc54f90618130a6665299bc55df"},"headline":"If the median of the distribution given below is 28.5, find the value of x and y.","datePublished":"2022-12-20T13:28:34+00:00","dateModified":"2022-12-20T13:28:48+00:00","mainEntityOfPage":{"@id":"https:\/\/mathemerize.com\/if-the-median-of-the-distribution-given-below-is-28-5-find-the-value-of-x-and-y\/"},"wordCount":125,"commentCount":0,"publisher":{"@id":"https:\/\/mathemerize.com\/#organization"},"articleSection":["Maths Questions","Statistics Questions"],"inLanguage":"en-US","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["https:\/\/mathemerize.com\/if-the-median-of-the-distribution-given-below-is-28-5-find-the-value-of-x-and-y\/#respond"]}]},{"@type":"WebPage","@id":"https:\/\/mathemerize.com\/if-the-median-of-the-distribution-given-below-is-28-5-find-the-value-of-x-and-y\/","url":"https:\/\/mathemerize.com\/if-the-median-of-the-distribution-given-below-is-28-5-find-the-value-of-x-and-y\/","name":"If the median of the distribution given below is 28.5, find the value of x and y. - Mathemerize","isPartOf":{"@id":"https:\/\/mathemerize.com\/#website"},"datePublished":"2022-12-20T13:28:34+00:00","dateModified":"2022-12-20T13:28:48+00:00","breadcrumb":{"@id":"https:\/\/mathemerize.com\/if-the-median-of-the-distribution-given-below-is-28-5-find-the-value-of-x-and-y\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/mathemerize.com\/if-the-median-of-the-distribution-given-below-is-28-5-find-the-value-of-x-and-y\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/mathemerize.com\/if-the-median-of-the-distribution-given-below-is-28-5-find-the-value-of-x-and-y\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/mathemerize.com\/"},{"@type":"ListItem","position":2,"name":"If the median of the distribution given below is 28.5, find the value of x and y."}]},{"@type":"WebSite","@id":"https:\/\/mathemerize.com\/#website","url":"https:\/\/mathemerize.com\/","name":"Mathemerize","description":"Maths Tutorials - Study Math Online","publisher":{"@id":"https:\/\/mathemerize.com\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/mathemerize.com\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"en-US"},{"@type":"Organization","@id":"https:\/\/mathemerize.com\/#organization","name":"Mathemerize","url":"https:\/\/mathemerize.com\/","logo":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/mathemerize.com\/#\/schema\/logo\/image\/","url":"https:\/\/i1.wp.com\/mathemerize.com\/wp-content\/uploads\/2021\/05\/logo.png?fit=140%2C96&ssl=1","contentUrl":"https:\/\/i1.wp.com\/mathemerize.com\/wp-content\/uploads\/2021\/05\/logo.png?fit=140%2C96&ssl=1","width":140,"height":96,"caption":"Mathemerize"},"image":{"@id":"https:\/\/mathemerize.com\/#\/schema\/logo\/image\/"},"sameAs":["https:\/\/www.instagram.com\/mathemerize\/"]},{"@type":"Person","@id":"https:\/\/mathemerize.com\/#\/schema\/person\/104c8bc54f90618130a6665299bc55df","name":"mathemerize","image":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/mathemerize.com\/#\/schema\/person\/image\/","url":"https:\/\/secure.gravatar.com\/avatar\/f0649d8b9c9f4ba7f1682b12d040d2a3?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/f0649d8b9c9f4ba7f1682b12d040d2a3?s=96&d=mm&r=g","caption":"mathemerize"},"sameAs":["https:\/\/mathemerize.com"],"url":"https:\/\/mathemerize.com\/author\/mathemerize\/"}]}},"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/mathemerize.com\/wp-json\/wp\/v2\/posts\/12631"}],"collection":[{"href":"https:\/\/mathemerize.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mathemerize.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mathemerize.com\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mathemerize.com\/wp-json\/wp\/v2\/comments?post=12631"}],"version-history":[{"count":3,"href":"https:\/\/mathemerize.com\/wp-json\/wp\/v2\/posts\/12631\/revisions"}],"predecessor-version":[{"id":12634,"href":"https:\/\/mathemerize.com\/wp-json\/wp\/v2\/posts\/12631\/revisions\/12634"}],"wp:attachment":[{"href":"https:\/\/mathemerize.com\/wp-json\/wp\/v2\/media?parent=12631"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathemerize.com\/wp-json\/wp\/v2\/categories?post=12631"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathemerize.com\/wp-json\/wp\/v2\/tags?post=12631"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}