{"id":12105,"date":"2022-09-16T00:03:43","date_gmt":"2022-09-15T18:33:43","guid":{"rendered":"https:\/\/mathemerize.com\/?p=12105"},"modified":"2022-09-16T00:03:48","modified_gmt":"2022-09-15T18:33:48","slug":"a-class-teacher-has-the-following-absentee-record-of-40-students-of-a-class-for-the-whole-term-find-the-mean-number-of-days-a-student-was-absent","status":"publish","type":"post","link":"https:\/\/mathemerize.com\/a-class-teacher-has-the-following-absentee-record-of-40-students-of-a-class-for-the-whole-term-find-the-mean-number-of-days-a-student-was-absent\/","title":{"rendered":"A class teacher has the following absentee record of 40 students of a class for the whole term. Find the mean number of days a student was absent."},"content":{"rendered":"\n

Question :<\/h2>\n\n\n\n
Number of days<\/td>0 – 6<\/td>6 – 10<\/td>10 – 14<\/td>14 – 20<\/td>20 – 28<\/td>28 – 38<\/td>38 – 40<\/td><\/tr>
Number of students<\/td>11<\/td>10<\/td>7<\/td>4<\/td>4<\/td>3<\/td>1<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

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

Here, the class size varies, and \\(x_i\\)’s are small,<\/p>\n\n\n\n

Number of days<\/td>Mid-Value (\\(x_i\\))<\/td>Number Students (\\(f_i\\))<\/td>\\(f_iu_i\\)<\/td><\/tr>
0 – 6<\/td>3<\/td>11<\/td>33<\/td><\/tr>
6 – 10<\/td>8<\/td>10<\/td>80<\/td><\/tr>
10 – 14<\/td>12<\/td>7<\/td>84<\/td><\/tr>
14 – 20<\/td>17<\/td>4<\/td>68<\/td><\/tr>
20 – 28<\/td>24<\/td>4<\/td>96<\/td><\/tr>
28 – 30<\/td>33<\/td>3<\/td>99<\/td><\/tr>
38 – 40<\/td>39<\/td>1<\/td>39<\/td><\/tr>
Total<\/td><\/td>40<\/td>499<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

Let us apply the direct method here :<\/p>\n\n\n\n

So, Mean = \\(\\sum f_iu_i\\over \\sum f_i\\) = \\(499\\over 40\\) = 12.475<\/p>\n\n\n\n

Hence, mean = 12.48 days<\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"

Question : Number of days 0 – 6 6 – 10 10 – 14 14 – 20 20 – 28 28 – 38 38 – 40 Number of students 11 10 7 4 4 3 1 Solution : Here, the class size varies, and \\(x_i\\)’s are small, Number of days Mid-Value (\\(x_i\\)) Number Students (\\(f_i\\)) …<\/p>\n

A class teacher has the following absentee record of 40 students of a class for the whole term. Find the mean number of days a student was absent.<\/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":"\nA class teacher has the following absentee record of 40 students of a class for the whole term. 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