{"id":12107,"date":"2022-09-16T00:24:49","date_gmt":"2022-09-15T18:54:49","guid":{"rendered":"https:\/\/mathemerize.com\/?p=12107"},"modified":"2022-09-16T00:24:53","modified_gmt":"2022-09-15T18:54:53","slug":"the-following-table-gives-the-literacy-rate-in-percentage-o-f-35-cities-find-the-mean-literacy-rate","status":"publish","type":"post","link":"https:\/\/mathemerize.com\/the-following-table-gives-the-literacy-rate-in-percentage-o-f-35-cities-find-the-mean-literacy-rate\/","title":{"rendered":"The following table gives the literacy rate (in percentage) o f 35 cities. Find the mean literacy rate."},"content":{"rendered":"\n

Question :<\/h2>\n\n\n\n
Literacy rate (in %)<\/td>45 – 55<\/td>55 – 65<\/td>65 – 75<\/td>75 – 85<\/td>85 – 95<\/td><\/tr>
Number of cities<\/td>3<\/td>10<\/td>11<\/td>8<\/td>3<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

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

Let the assumed mean, A = 70 and class size, h = 10<\/p>\n\n\n\n

So, \\(u_i\\) = \\(x_i – 70\\over 10\\)<\/p>\n\n\n\n

Literacy rate (in %)<\/td>Mid-value (\\(x_i\\))<\/td>Frequency (\\(f_i\\))<\/td>\\(u_i\\) = \\(x_i – 70\\over 10\\)<\/td>\\(f_iu_i\\)<\/td><\/tr>
45 – 55<\/td>50<\/td>3<\/td>-2<\/td>-6<\/td><\/tr>
55 – 65<\/td>60<\/td>10<\/td>-1<\/td>-10<\/td><\/tr>
65 – 75<\/td>70<\/td>11<\/td>0<\/td>0<\/td><\/tr>
75 – 85<\/td>80<\/td>8<\/td>1<\/td>8<\/td><\/tr>
85 – 95<\/td>90<\/td>3<\/td>2<\/td>6<\/td><\/tr>
Total<\/td><\/td>35<\/td><\/td>-2<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

Mean = A + h \\(\\times\\) \\(\\sum f_iu_i\\over \\sum f_i\\)<\/p>\n\n\n\n

= 70 + 10 \\(\\times\\) \\(-2\\over 35\\) = 70 – 0.57 = 69.43%<\/p>\n\n\n\n

Thus, mean literacy rate is 69.43%<\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"

Question : Literacy rate (in %) 45 – 55 55 – 65 65 – 75 75 – 85 85 – 95 Number of cities 3 10 11 8 3 Solution : Let the assumed mean, A = 70 and class size, h = 10 So, \\(u_i\\) = \\(x_i – 70\\over 10\\) Literacy rate (in %) …<\/p>\n

The following table gives the literacy rate (in percentage) o f 35 cities. Find the mean literacy rate.<\/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 gives the literacy rate (in percentage) o f 35 cities. 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