{"id":12026,"date":"2022-09-10T23:04:02","date_gmt":"2022-09-10T17:34:02","guid":{"rendered":"https:\/\/mathemerize.com\/?p=12026"},"modified":"2022-09-10T23:04:06","modified_gmt":"2022-09-10T17:34:06","slug":"consider-the-following-distribution-of-50-workers-of-a-factory-find-the-mean-daily-wages-of-the-workers-of-the-factory-by-using-an-appropriate-method","status":"publish","type":"post","link":"https:\/\/mathemerize.com\/consider-the-following-distribution-of-50-workers-of-a-factory-find-the-mean-daily-wages-of-the-workers-of-the-factory-by-using-an-appropriate-method\/","title":{"rendered":"Consider the following distribution of 50 workers of a factory. Find the mean daily wages of the workers of the factory by using an appropriate method."},"content":{"rendered":"\n

Question :<\/h2>\n\n\n\n
Daily Wages in Rupees<\/td>0 – 120 <\/td>120 – 140<\/td>14 – 160<\/td>160 – 180<\/td>180 – 200<\/td><\/tr>
Number of Workers<\/td>12<\/td>14<\/td>8<\/td>6<\/td>10<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

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

Let the assumed mean A = 150 and class size h = 50<\/p>\n\n\n\n

So, \\(u_i\\) = \\(x_i – A\\over h\\) = \\(x_i – 150\\over 20\\)<\/p>\n\n\n\n

Class Interval<\/td>Mid-value (\\(x_i\\))<\/td>Frequency (\\(f_i\\))<\/td>\\(u_i\\) = \\(x_i – 150\\over 20\\)<\/td>\\(f_iu_i\\)<\/td><\/tr>
100 – 120<\/td>110<\/td>12<\/td>-2<\/td>-24<\/td><\/tr>
120 – 140<\/td>130<\/td>14<\/td>-1<\/td>-14<\/td><\/tr>
140 – 160<\/td>150<\/td>8<\/td>0<\/td>0<\/td><\/tr>
160 – 180<\/td>170<\/td>8<\/td>1<\/td>6<\/td><\/tr>
180 – 200<\/td>190<\/td>10<\/td>2<\/td>20<\/td><\/tr>
Total<\/td><\/td>50<\/td><\/td>-12<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

So, \\(\\bar{x}\\) = A + h\\(\\sum f_iu_i\\over f_i\\) = 150 + 20 \\(\\times\\) \\(-12\\over 50\\)<\/p>\n\n\n\n

= 150 – 4.8 = 145.2<\/p>\n\n\n\n

Hence, mean = 145.20 <\/p>\n","protected":false},"excerpt":{"rendered":"

Question : Daily Wages in Rupees 0 – 120 120 – 140 14 – 160 160 – 180 180 – 200 Number of Workers 12 14 8 6 10 Solution : Let the assumed mean A = 150 and class size h = 50 So, \\(u_i\\) = \\(x_i – A\\over h\\) = \\(x_i – 150\\over …<\/p>\n

Consider the following distribution of 50 workers of a factory. Find the mean daily wages of the workers of the factory by using an appropriate 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":"\nConsider the following distribution of 50 workers of a factory. 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