{"id":12326,"date":"2022-10-17T21:44:47","date_gmt":"2022-10-17T16:14:47","guid":{"rendered":"https:\/\/mathemerize.com\/?p=12326"},"modified":"2022-10-17T21:45:35","modified_gmt":"2022-10-17T16:15:35","slug":"find-the-average-expenditure-which-is-being-done-by-the-maximum-number-of-manual-workers","status":"publish","type":"post","link":"https:\/\/mathemerize.com\/find-the-average-expenditure-which-is-being-done-by-the-maximum-number-of-manual-workers\/","title":{"rendered":"Find the average expenditure which is being done by the maximum number of manual workers."},"content":{"rendered":"\n

Question :<\/h2>\n\n\n\n
Expenditure (in Rs)<\/td>1000 – 1500<\/td>1500 – 2000<\/td>2000 – 2500<\/td>2500 – 3000<\/td>3000 – 3500<\/td>3500 – 4000<\/td>4000 – 4500<\/td>4500 – 5000<\/td><\/tr>
Manual workers (frequency)<\/td>24<\/td>40<\/td>33<\/td>28<\/td>30<\/td>22<\/td>16<\/td>7<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

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

The class (1500 – 2000) has maximum frequency i.e. 40, therefore this is the modal class.<\/p>\n\n\n\n

Lower limit of the modal class = l = 1500<\/p>\n\n\n\n

Class interval h = 500<\/p>\n\n\n\n

Frequency of the modal class = \\(f_k\\) = 40<\/p>\n\n\n\n

Frequency of the class preceding the modal class = \\(f_{k – 1}\\) = 24<\/p>\n\n\n\n

Frequency of the class succeeding the modal class = \\(f_{k + 1}\\) = 33<\/p>\n\n\n\n

We know that,<\/p>\n\n\n\n

Mode = l + h(\\(f_k – f_{k-1}\\over 2f_k – f_{k-1} – f_{k+1}\\))<\/p>\n\n\n\n

= 1500 + 500(\\(40 – 24\\over 2(40) – 24 – 33\\))<\/p>\n\n\n\n

= 1500 + 500(\\(16\\over 23\\))<\/p>\n\n\n\n

= 1500 + 347.83<\/p>\n\n\n\n

= 1847.83<\/p>\n\n\n\n

Hence, the average expenditure done by the maximum number of manual workers is 1847.83<\/strong>.<\/p>\n","protected":false},"excerpt":{"rendered":"

Question : Expenditure (in Rs) 1000 – 1500 1500 – 2000 2000 – 2500 2500 – 3000 3000 – 3500 3500 – 4000 4000 – 4500 4500 – 5000 Manual workers (frequency) 24 40 33 28 30 22 16 7 Solution : The class (1500 – 2000) has maximum frequency i.e. 40, therefore this is …<\/p>\n

Find the average expenditure which is being done by the maximum number of manual workers.<\/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":"\nFind the average expenditure which is being done by the maximum number of manual workers. - Mathemerize<\/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\/find-the-average-expenditure-which-is-being-done-by-the-maximum-number-of-manual-workers\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Find the average expenditure which is being done by the maximum number of manual workers. - Mathemerize\" \/>\n<meta property=\"og:description\" content=\"Question : Expenditure (in Rs) 1000 – 1500 1500 – 2000 2000 – 2500 2500 – 3000 3000 – 3500 3500 – 4000 4000 – 4500 4500 – 5000 Manual workers (frequency) 24 40 33 28 30 22 16 7 Solution : The class (1500 – 2000) has maximum frequency i.e. 40, therefore this is … Find the average expenditure which is being done by the maximum number of manual workers. 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