{"id":6053,"date":"2021-10-04T23:47:17","date_gmt":"2021-10-04T18:17:17","guid":{"rendered":"https:\/\/mathemerize.com\/?p=6053"},"modified":"2021-10-04T23:47:45","modified_gmt":"2021-10-04T18:17:45","slug":"statistics-examples","status":"publish","type":"post","link":"https:\/\/mathemerize.com\/statistics-examples\/","title":{"rendered":"Statistics Examples"},"content":{"rendered":"

Here you will learn some statistics examples for better understanding of statistics concepts<\/a><\/span>.<\/p>\n\n\n

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Example 1 : <\/span> If mean of the seies \\(x_1\\), \\(x^2\\), ….. , \\(x_n\\) is \\(\\bar{x}\\), then the mean of the series \\(x_i\\) + 2i, i = 1, 2, ……, n will be-<\/p>\n

Solution : <\/span>As given \\(\\bar{x}\\) = \\(x_1 + x_2 + …. + x_n\\over n\\)

\n\t\t\t\tIf the mean of the series \\(x_i\\) + 2i, i = 1, 2, ….., n be \\(\\bar{X}\\), then

\n\t\t\t\t\\(\\bar{X}\\) = \\((x_1+2) + (x_2+2.2) + (x_3+2.3) + …. + (x_n + 2.n)\\over n\\)

\n\t\t\t\t    = \\(x_1 + x_2 + …. + x_n\\over n\\) + \\(2(1+2+3+….+n)\\over n\\)

\n\t\t\t\t    = \\(\\bar{x}\\) + \\(2n(n+1)\\over 2n\\)

\n\t\t\t\t    = \\(\\bar{x}\\) + n + 1.<\/p>\n


\n\n \n

Example 2 : <\/span> A student obtained 75%, 80%, 85% marks in three subjects. If the marks of another subject are added then his average marks can not be less than-<\/p>\n

Solution : <\/span> Total marks obtained from three subjects out of 300 = 75 + 80 + 85 = 240

if the marks of another subject is added then the total marks obtained out of 400 is greater than 240

if marks obtained in fourth subject is 0 then

    minimum average marks = \\(240\\over 400\\)\\(\\times\\)100 = 60%\n <\/p>


\n\n \n

Example 3 : <\/span> The mean and variance of 5 observations of an experiment are 4 and 5.2 respectively. If from these observations three are 1, 2 and 6, then remaining will be-<\/p>\n

Solution : <\/span>As given \\(\\bar{x}\\) = 4, n = 5 and \\({\\sigma}^2\\) = 5.2. If the remaining observations are \\(x_1\\), \\(x_2\\) then

\\({\\sigma}^2\\) = \\(\\sum{(x_i – \\bar{x})}^2\\over n\\) = 5.2

\\(\\implies\\) \\({(x_1-4)}^2 + {(x_2-4)}^2 + {(1-4)}^2 + {2-4)}^2 + {(6-4)}^2\\over 5\\) = 5.2

\\(\\implies\\) \\({(x_1-4)}^2 + {(x_2-4)}^2\\) = 9     …..(1)

Also \\(\\bar{x}\\) = 4 \\(\\implies\\) \\(x_1 + x_2 + 1 + 2 + 6\\over 5\\) = 4 \\(\\implies\\) \\(x_1 + x_2\\) = 11     …..(2)

from eq.(1), (2)     \\(x_1\\), \\(x_2\\) = 4, 7<\/p>\n
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Practice these given statistics examples to test your knowledge on concepts of statistics.<\/p>\n <\/div>\n <\/div>\n","protected":false},"excerpt":{"rendered":"

Here you will learn some statistics examples for better understanding of statistics concepts. Example 1 : If mean of the seies \\(x_1\\), \\(x^2\\), ….. , \\(x_n\\) is \\(\\bar{x}\\), then the mean of the series \\(x_i\\) + 2i, i = 1, 2, ……, n will be- Solution : As given \\(\\bar{x}\\) = \\(x_1 + x_2 + …<\/p>\n

Statistics 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":"default","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":""},"categories":[22],"tags":[],"yoast_head":"\nStatistics Examples - Mathemerize<\/title>\n<meta name=\"description\" content=\"Solve these Statistics examples to practice and test your knowledge of Statistics concepts.\" \/>\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\/statistics-examples\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Statistics Examples - 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