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Calculate mean deviation about mean from the following data: `x_i :` 3 9 17 23 27 `f_i :` 8 10 12 9 5

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Calculate mean deviation about mean from the following data: `x_i :` 3 9 17 23 27 `f_i :` 8 10 12 9 5
A. `7.15`
B. `7.09`
C. `8.05`
D. None of these
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1 Answer

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Correct Answer - B
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mean `= barx = 1/(N) (sumf_(i)x_(i)) = (600)/(44) = 15`
mean deviation `= M.D. = (1)/(N) sumf_(i)|x_(i) -15|`
`= (312)/(44) = 7.09`
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