{"id":12083,"date":"2022-09-14T23:35:19","date_gmt":"2022-09-14T18:05:19","guid":{"rendered":"https:\/\/mathemerize.com\/?p=12083"},"modified":"2022-09-14T23:36:09","modified_gmt":"2022-09-14T18:06:09","slug":"the-table-below-shows-expenditure-on-food-of-25-households-in-a-locality-find-the-mean-daily-expenditure-on-food-by-a-suitable-method","status":"publish","type":"post","link":"https:\/\/mathemerize.com\/the-table-below-shows-expenditure-on-food-of-25-households-in-a-locality-find-the-mean-daily-expenditure-on-food-by-a-suitable-method\/","title":{"rendered":"The table below shows expenditure on food of 25 households in a locality. Find the mean daily expenditure on food by a suitable method."},"content":{"rendered":"\n

Question :<\/h2>\n\n\n\n
Daily expenditure (in Rupees)<\/td>100 – 150<\/td>150 – 200<\/td>200 – 250<\/td>250 – 300<\/td>300 – 350<\/td><\/tr>
Number of households<\/td>4<\/td>5<\/td>12<\/td>2<\/td>2<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

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

Let the assumed mean, A = 225, class size, h = 50<\/p>\n\n\n\n

So, \\(u_i\\) = \\(x_i – A\\over h\\) = \\(x_i – 225\\over 50\\)<\/p>\n\n\n\n

Daily expenditure (in Rupees)<\/td>Mid – Values (\\(x_i\\))<\/td>Frequency (\\(x_i\\))<\/td>\\(u_i\\) = \\(x_i – 225\\over 50\\)<\/td>\\(f_iu_i\\)<\/td><\/tr>
100 – 150<\/td>125<\/td>4<\/td>-2<\/td>-8<\/td><\/tr>
150 – 200<\/td>175<\/td>5<\/td>-1<\/td>-5<\/td><\/tr>
200 – 250<\/td>175<\/td>12<\/td>0<\/td>0<\/td><\/tr>
250 – 300<\/td>225<\/td>2<\/td>1<\/td>2<\/td><\/tr>
300 – 350<\/td>325<\/td>2<\/td>2<\/td>4<\/td><\/tr>
Total<\/td><\/td>25<\/td><\/td>-7<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

So, Mean = A + h\\(\\sum f_iu_i\\over \\sum f_i\\) = 225 + 50 \\(\\times\\) \\(-7\\over 25\\) = 225 – 14 = 211<\/p>\n\n\n\n

Hence, the mean daily expenditure on food is 211 rupees<\/strong>.<\/p>\n","protected":false},"excerpt":{"rendered":"

Question : Daily expenditure (in Rupees) 100 – 150 150 – 200 200 – 250 250 – 300 300 – 350 Number of households 4 5 12 2 2 Solution : Let the assumed mean, A = 225, class size, h = 50 So, \\(u_i\\) = \\(x_i – A\\over h\\) = \\(x_i – 225\\over 50\\) …<\/p>\n

The table below shows expenditure on food of 25 households in a locality. Find the mean daily expenditure on food by a suitable method.<\/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":"\nThe table below shows expenditure on food of 25 households in a locality. 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