{"id":12309,"date":"2022-10-16T00:00:38","date_gmt":"2022-10-15T18:30:38","guid":{"rendered":"https:\/\/mathemerize.com\/?p=12309"},"modified":"2022-10-16T00:02:59","modified_gmt":"2022-10-15T18:32:59","slug":"the-following-table-shows-the-ages-of-the-patients-admitted-in-a-hospital-find-the-mode-of-the-given-data","status":"publish","type":"post","link":"https:\/\/mathemerize.com\/the-following-table-shows-the-ages-of-the-patients-admitted-in-a-hospital-find-the-mode-of-the-given-data\/","title":{"rendered":"The following table shows the ages of the patients admitted in a hospital. Find the mode of the given data."},"content":{"rendered":"\n

Question :<\/h2>\n\n\n\n
Age (in years)<\/td>5 – 15<\/td>15 – 25<\/td>25 – 35<\/td>35 – 45<\/td>45 – 55<\/td>55 – 65<\/td><\/tr>
No. of cases<\/td>6<\/td>11<\/td>21<\/td>23<\/td>14<\/td>5<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

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

The class (35 – 45) has maximum frequency, i.e. 23 therefore this is the modal class.<\/p>\n\n\n\n

Lower limit of the modal class = l = 35<\/p>\n\n\n\n

Width of Class – interval = h = 10<\/p>\n\n\n\n

Frequency of the modal class = \\(f_k\\) = 23<\/p>\n\n\n\n

Frequency of the class preceding the modal class = \\(f_{k-1}\\) = 21<\/p>\n\n\n\n

Frequency of the class succeeding the modal class = \\(f_{k+1}\\) = 14<\/p>\n\n\n\n

Mode = l + h(\\(f_k – f_{k-1}\\over 2f_k – f_{k-1} – f_{k+1}\\)) = 35 + 10(\\(23 – 21\\over 46 – 35\\))<\/p>\n\n\n\n

Mode = 35 + \\(20\\over 11\\) = 35 + 1.8181 = 36.818<\/p>\n\n\n\n

Hence, the average age for which maximum cases occurred is 36.818<\/strong>.<\/p>\n","protected":false},"excerpt":{"rendered":"

Question : Age (in years) 5 – 15 15 – 25 25 – 35 35 – 45 45 – 55 55 – 65 No. of cases 6 11 21 23 14 5 Solution : The class (35 – 45) has maximum frequency, i.e. 23 therefore this is the modal class. Lower limit of the modal …<\/p>\n

The following table shows the ages of the patients admitted in a hospital. Find the mode of the given data.<\/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 following table shows the ages of the patients admitted in a hospital. 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