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Calculate mean deviation from the median for the followingdistribution:`x_i :`1015202530354045`f_i :`73856849 |
Answer» First we have to construct a table for the given data. Please refer to video for creating complete table. Here, `N = sum f_i = 50` `:. N/2 = 50/2 = 25` So, median class will be `x_i = 30` as it has freuency just greater than `25.` `:. Median = 30` Now, we will find the deviation from the median for each class. `:. |d_i| =20,15,10,5,0,5,10,15` `:. f_i d_i = 140,45,80,25,0,40,40,135` `:. sum f_i d_i = 505` `:.` Mean deviation `= ( sum f_i d_i )/N = 505/50 = 101/10 = 10.1.` |
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