{"id":12050,"date":"2022-09-12T19:19:13","date_gmt":"2022-09-12T13:49:13","guid":{"rendered":"https:\/\/mathemerize.com\/?p=12050"},"modified":"2022-09-12T19:19:16","modified_gmt":"2022-09-12T13:49:16","slug":"thirty-women-were-examined-in-a-hospital-by-a-doctor-and-the-number-of-heart-beats-per-minute-were-recorded-and-summarised-as-follows-find-the-mean-heart-beats-per-minute-for-these-women-choosing-a","status":"publish","type":"post","link":"https:\/\/mathemerize.com\/thirty-women-were-examined-in-a-hospital-by-a-doctor-and-the-number-of-heart-beats-per-minute-were-recorded-and-summarised-as-follows-find-the-mean-heart-beats-per-minute-for-these-women-choosing-a\/","title":{"rendered":"Thirty women were examined in a hospital by a doctor and the number of heart beats per minute were recorded and summarised as follows. Find the mean heart beats per minute for these women, choosing a suitable method."},"content":{"rendered":"\n

Question :<\/h2>\n\n\n\n
Number of heart beats per minute<\/td>65 – 68<\/td>68 – 71<\/td>71 – 74<\/td>74 – 77<\/td>77 – 80<\/td>80 – 83<\/td>83 – 86<\/td><\/tr>
Number of women<\/td>2<\/td>4<\/td>3<\/td>8<\/td>7<\/td>4<\/td>2<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

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

Let assumed mean a = 75.5<\/p>\n\n\n\n

Number of heart beats<\/td>No. of women \\(f_i\\)<\/td>Mid Value \\(x_i\\)<\/td>\\(d_i\\) = \\(x_i – a_i\\)<\/td>\\(f_id_i\\)<\/td><\/tr>
65 – 68<\/td>2<\/td>66.5<\/td>-9<\/td>-18<\/td><\/tr>
68 – 71<\/td>4<\/td>69.5<\/td>-6<\/td>-24<\/td><\/tr>
71 – 74<\/td>3<\/td>72.5<\/td>-3<\/td>-9<\/td><\/tr>
74 – 77<\/td>8<\/td>75.5<\/td>0<\/td>0<\/td><\/tr>
77 – 80<\/td>7<\/td>78.5<\/td>3<\/td>21<\/td><\/tr>
80 – 83<\/td>4<\/td>81.5<\/td>6<\/td>24<\/td><\/tr>
83 – 86<\/td>2<\/td>84.5<\/td>9<\/td>18<\/td><\/tr>
<\/td>\\(\\sum f_i\\) = 30<\/td><\/td><\/td>\\(\\sum f_id_i\\) = 12<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

Mean = a + \\(\\sum f_id_i\\over \\sum f_i\\) = 75.5 + \\(12\\over 30\\) = 75.5 + 0.4 = 75.9<\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"

Question : Number of heart beats per minute 65 – 68 68 – 71 71 – 74 74 – 77 77 – 80 80 – 83 83 – 86 Number of women 2 4 3 8 7 4 2 Solution : Let assumed mean a = 75.5 Number of heart beats No. of women \\(f_i\\) …<\/p>\n

Thirty women were examined in a hospital by a doctor and the number of heart beats per minute were recorded and summarised as follows. Find the mean heart beats per minute for these women, choosing a suitable 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":"\nThirty women were examined in a hospital by a doctor and the number of heart beats per minute were recorded and summarised as follows. 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