{"id":12361,"date":"2022-10-22T23:10:08","date_gmt":"2022-10-22T17:40:08","guid":{"rendered":"https:\/\/mathemerize.com\/?p=12361"},"modified":"2022-10-22T23:10:13","modified_gmt":"2022-10-22T17:40:13","slug":"a-student-noted-the-number-of-cars-passing-through-a-spot-on-a-road-for-100-periods-each-of-3-minutes-and-summarised-it-in-the-table-given-below-find-the-mode-of-the-data","status":"publish","type":"post","link":"https:\/\/mathemerize.com\/a-student-noted-the-number-of-cars-passing-through-a-spot-on-a-road-for-100-periods-each-of-3-minutes-and-summarised-it-in-the-table-given-below-find-the-mode-of-the-data\/","title":{"rendered":"A student noted the number of cars passing through a spot on a road for 100 periods each of 3 minutes and summarised it in the table given below. Find the mode of the data :"},"content":{"rendered":"\n

Question :<\/h2>\n\n\n\n
Number of cars<\/td>0 – 10<\/td>10 – 20<\/td>20 – 30<\/td>30 – 40<\/td>40 – 50<\/td>50 – 60<\/td>60 – 70<\/td>70 – 80<\/td><\/tr>
Frequency<\/td>7<\/td>14<\/td>13<\/td>12<\/td>20<\/td>11<\/td>15<\/td>8<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

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

The class (40 – 50) has the maximum frequency frequency. Therefore, this is the modal class.<\/p>\n\n\n\n

Here, l = 40, h = 10, \\(f_1\\) = 20, \\(f_0\\) = 12 and \\(f_2\\) = 11<\/p>\n\n\n\n

Now, let us substitute these values in the formula <\/p>\n\n\n\n

Mode = l + (\\(f_1 – f_0\\over 2f_1 – f_0 – f_2\\)) \\(\\times\\) h<\/p>\n\n\n\n

Mode = 40 + (\\(20 – 12\\over 40 – 12 – 11\\)) \\(\\times\\) 10<\/p>\n\n\n\n

Mode = 40 + 4.7 = 44.7<\/p>\n\n\n\n

Hence, mode = 44.7 cars<\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"

Question : Number of cars 0 – 10 10 – 20 20 – 30 30 – 40 40 – 50 50 – 60 60 – 70 70 – 80 Frequency 7 14 13 12 20 11 15 8 Solution : The class (40 – 50) has the maximum frequency frequency. Therefore, this is the modal …<\/p>\n

A student noted the number of cars passing through a spot on a road for 100 periods each of 3 minutes and summarised it in the table given below. Find the mode of the 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":"\nA student noted the number of cars passing through a spot on a road for 100 periods each of 3 minutes and summarised it in the table given below. 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