{"id":12009,"date":"2022-09-09T23:44:38","date_gmt":"2022-09-09T18:14:38","guid":{"rendered":"https:\/\/mathemerize.com\/?p=12009"},"modified":"2022-09-09T23:44:42","modified_gmt":"2022-09-09T18:14:42","slug":"a-survey-was-conducted-by-a-group-of-students-as-a-part-of-their-environment-awareness-programme-in-which-they-collected-the-following-data-regarding-the-number-of-plants-in-20-houses-in-a-locality","status":"publish","type":"post","link":"https:\/\/mathemerize.com\/a-survey-was-conducted-by-a-group-of-students-as-a-part-of-their-environment-awareness-programme-in-which-they-collected-the-following-data-regarding-the-number-of-plants-in-20-houses-in-a-locality\/","title":{"rendered":"A survey was conducted by a group of students as a part of their environment awareness programme, in which they collected the following data regarding the number of plants in 20 houses in a locality. Find the mean number of plants per house."},"content":{"rendered":"\n

Question<\/strong> : <\/h2>\n\n\n\n
Number of plants<\/td>0 – 2<\/td>2 – 4<\/td>4 – 6<\/td>6 – 8<\/td>8 – 10<\/td>10 – 12<\/td>12 – 14<\/td><\/tr>
No. of houses<\/td>1<\/td>2<\/td>1<\/td>5<\/td>6<\/td>2<\/td>3<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

Which method do you use for finding the mean and why ?<\/p>\n\n\n\n

Solution :<\/h2>\n\n\n\n
Number of Plants<\/td>Number of houses \\(f_i\\)<\/td>Mid-value x<\/td>fx<\/td><\/tr>
0 – 2<\/td>1<\/td>1<\/td>1<\/td><\/tr>
2 – 4<\/td>2<\/td>3<\/td>6<\/td><\/tr>
4 – 6<\/td>1<\/td>5<\/td>5<\/td><\/tr>
6 – 8<\/td>5<\/td>7<\/td>35<\/td><\/tr>
8 – 10<\/td>6<\/td>9<\/td>54<\/td><\/tr>
10 – 12<\/td>2<\/td>11<\/td>22<\/td><\/tr>
12 – 14<\/td>3<\/td>13<\/td>39<\/td><\/tr>
<\/td>\\(\\sum f_i\\) = 20<\/td><\/td>\\(\\sum f_ix_i\\) = 162<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

Mean = \\(\\sum f_ix_i\\over \\sum f_i\\) = \\(162\\over 20\\) = 8.1<\/strong><\/p>\n\n\n\n

Here, we have used direct method because numerical values of \\(x_i\\) and \\(f_i\\) are small.<\/p>\n","protected":false},"excerpt":{"rendered":"

Question : Number of plants 0 – 2 2 – 4 4 – 6 6 – 8 8 – 10 10 – 12 12 – 14 No. of houses 1 2 1 5 6 2 3 Which method do you use for finding the mean and why ? Solution : Number of Plants Number of …<\/p>\n

A survey was conducted by a group of students as a part of their environment awareness programme, in which they collected the following data regarding the number of plants in 20 houses in a locality. Find the mean number of plants per house.<\/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 survey was conducted by a group of students as a part of their environment awareness programme, in which they collected the following data regarding the number of plants in 20 houses in a locality. 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