{"id":10219,"date":"2022-02-26T15:03:55","date_gmt":"2022-02-26T09:33:55","guid":{"rendered":"https:\/\/mathemerize.com\/?p=10219"},"modified":"2022-06-28T19:50:47","modified_gmt":"2022-06-28T14:20:47","slug":"combined-mean-formula-and-examples","status":"publish","type":"post","link":"https:\/\/mathemerize.com\/combined-mean-formula-and-examples\/","title":{"rendered":"Combined Mean – Formula and Examples"},"content":{"rendered":"

Here you will learn what is combined mean formula and how to find combined mean with examples.<\/p>\n

Let’s begin –<\/p>\n

Combined Mean Formula<\/strong><\/h2>\n

If \\(\\bar{x_1}\\) and \\(\\bar{x_2}\\) be the means of two groups having \\(n_1\\) and \\(n_2\\) terms respectively then the mean(combined mean) of their composite group is given by<\/p>\n

Combined mean = \\(n_1\\bar{x_1} + n_2\\bar{x_2}\\over {n_1 + n_2}\\)<\/p>\n

If there are more than two groups then, combined mean = \\(n_1\\bar{x_1} + n_2\\bar{x_2} + n_3\\bar{x_3} + …..\\over {n_1 + n_2 + n_3 + ….}\\)<\/p><\/blockquote>\n

Also Read<\/strong> : What is the Formula for Mean Median and Mode<\/a><\/p>\n

Example<\/strong><\/span> : There are three sections A, B and C in class X with 25, 40 and 35 students respectively. The average marks obtained by section A, B and C are 70%, 65% and 50% respectively. Find the average marks of the entire class X.<\/p>\n

Solution<\/strong><\/span> : \\(n_1\\) = 25\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \\(x_1\\) = 70%<\/p>\n

\\(n_2\\) = 40\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \\(x_2\\) = 65%<\/p>\n

\\(n_3\\) = 35\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0\\(x_3\\) = 50%<\/p>\n

\\(\\bar{x}\\) = \\(n_1\\bar{x_1} + n_2\\bar{x_2} + n_3\\bar{x_3}\\over {n_1 + n_2 + n_3}\\)<\/p>\n

= \\((25\\times 70) + (40\\times 65) + (35\\times 50)\\over 25 + 40 + 35\\)<\/p>\n

= \\(1750 + 2600 + 1750\\over 100\\) = \\(6100\\over 100\\) = 61%<\/p>\n","protected":false},"excerpt":{"rendered":"

Here you will learn what is combined mean formula and how to find combined mean with examples. Let’s begin – Combined Mean Formula If \\(\\bar{x_1}\\) and \\(\\bar{x_2}\\) be the means of two groups having \\(n_1\\) and \\(n_2\\) terms respectively then the mean(combined mean) of their composite group is given by Combined mean = \\(n_1\\bar{x_1} + …<\/p>\n

Combined Mean – Formula and Examples<\/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":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":""},"categories":[22],"tags":[898,897],"yoast_head":"\nCombined Mean - Formula and Examples<\/title>\n<meta name=\"description\" content=\"In this post you will learn what is combined mean formula and how to find the combined mean with examples.\" \/>\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\/combined-mean-formula-and-examples\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Combined Mean - 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