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In the mean of the tabulated data, if the frequencies of n observations
x1, x2, x3, ………. xn are f1, f2, f3 ………. fn, then
Worked-out examples on mean of the tabulated data:
1. Find the mean weight of 50 girls from the following table.
Weight in kg | 40 | 42 | 34 | 36 | 46 |
No. of girls | 6 | 6 | 15 | 14 | 7 |
Variable (xi) | 4 | 6 | 8 | 10 | 12 | 15 |
Frequency (fi) | 8 | 9 | 17 | a | 8 | 4 |
But given mean = 9
So, we have (378 + 10a)/(46 + a) = 9
378 + 10a = 9(46 + a)
378 + 10a = 414 + 9a
10a - 9a = 414 - 378
a = 36
● Statistics
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