{"id":6957,"date":"2021-10-22T02:05:43","date_gmt":"2021-10-21T20:35:43","guid":{"rendered":"https:\/\/mathemerize.com\/?p=6957"},"modified":"2021-10-25T09:33:14","modified_gmt":"2021-10-25T04:03:14","slug":"the-variance-of-first-50-even-natural-numbers-is","status":"publish","type":"post","link":"https:\/\/mathemerize.com\/the-variance-of-first-50-even-natural-numbers-is\/","title":{"rendered":"The variance of first 50 even natural numbers is"},"content":{"rendered":"

Solution :<\/h2>\n

\\({\\sigma^2}\\) = \\(\\sum(x_i – \\bar{x})^2\\over n\\)<\/p>\n

\\(\\bar{X}\\) = \\(\\sum x_i\\over n\\)<\/p>\n

= \\(2 + 4 + 6 + 8 + ….. + 100\\over 50\\)<\/p>\n

= 51<\/p>\n

\\({\\sigma^2}\\) = \\(2^2 + 4^2 + …. + 100^2\\over 50\\) – \\(51^2\\)<\/p>\n

= 833<\/p>\n

\n

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Solution : \\({\\sigma^2}\\) = \\(\\sum(x_i – \\bar{x})^2\\over n\\) \\(\\bar{X}\\) = \\(\\sum x_i\\over n\\) = \\(2 + 4 + 6 + 8 + ….. + 100\\over 50\\) = 51 \\({\\sigma^2}\\) = \\(2^2 + 4^2 + …. + 100^2\\over 50\\) – \\(51^2\\) = 833 Similar Questions The mean and variance of a random variable X having a …<\/p>\n

The variance of first 50 even natural numbers is<\/span> Read More »<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","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":"default","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":"\nThe variance of first 50 even natural numbers is<\/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\/the-variance-of-first-50-even-natural-numbers-is\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"The variance of first 50 even natural numbers is\" \/>\n<meta property=\"og:description\" content=\"Solution : ({sigma^2}) = (sum(x_i – bar{x})^2over n) (bar{X}) = (sum x_iover n) = (2 + 4 + 6 + 8 + ….. + 100over 50) = 51 ({sigma^2}) = (2^2 + 4^2 + …. + 100^2over 50) – (51^2) = 833 Similar Questions The mean and variance of a random variable X having a … The variance of first 50 even natural numbers is Read More »\" \/>\n<meta property=\"og:url\" content=\"https:\/\/mathemerize.com\/the-variance-of-first-50-even-natural-numbers-is\/\" \/>\n<meta property=\"og:site_name\" content=\"Mathemerize\" \/>\n<meta property=\"article:published_time\" content=\"2021-10-21T20:35:43+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2021-10-25T04:03:14+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\/the-variance-of-first-50-even-natural-numbers-is\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/mathemerize.com\/the-variance-of-first-50-even-natural-numbers-is\/\"},\"author\":{\"name\":\"mathemerize\",\"@id\":\"https:\/\/mathemerize.com\/#\/schema\/person\/104c8bc54f90618130a6665299bc55df\"},\"headline\":\"The variance of first 50 even natural numbers is\",\"datePublished\":\"2021-10-21T20:35:43+00:00\",\"dateModified\":\"2021-10-25T04:03:14+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/mathemerize.com\/the-variance-of-first-50-even-natural-numbers-is\/\"},\"wordCount\":161,\"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\/the-variance-of-first-50-even-natural-numbers-is\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/mathemerize.com\/the-variance-of-first-50-even-natural-numbers-is\/\",\"url\":\"https:\/\/mathemerize.com\/the-variance-of-first-50-even-natural-numbers-is\/\",\"name\":\"The variance of first 50 even natural numbers is\",\"isPartOf\":{\"@id\":\"https:\/\/mathemerize.com\/#website\"},\"datePublished\":\"2021-10-21T20:35:43+00:00\",\"dateModified\":\"2021-10-25T04:03:14+00:00\",\"breadcrumb\":{\"@id\":\"https:\/\/mathemerize.com\/the-variance-of-first-50-even-natural-numbers-is\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/mathemerize.com\/the-variance-of-first-50-even-natural-numbers-is\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/mathemerize.com\/the-variance-of-first-50-even-natural-numbers-is\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/mathemerize.com\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"The variance of first 50 even natural numbers is\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/mathemerize.com\/#website\",\"url\":\"https:\/\/mathemerize.com\/\",\"name\":\"Mathemerize\",\"description\":\"Maths Tutorials - 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