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What is the mean absolute deviation for 9, 7, 6, 8, 7, and 5? (2 points) a 1 b 2 c 6 d 7

User SoEzPz
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1 Answer

3 votes

Answer: a. 1

Explanation:

Given data: 9, 7, 6, 8, 7, and 5.

Mean absolute deviation:
MAD=\frac1n\sum^n_(i=1)|x_i-m|, where m = mean

mean (m) =
\frac{\text{Sum of values}}{\text{Number of values}}


=(42)/(6)\\\\=7

Now,
MAD=(|9-7|+|7-7|+|6-7|+|8-7|+|7-7|+|5-7|)/(6)


MAD=(2+0+1+1+0+2)/(6)


MAD=(6)/(6)


MAD=1

Hence, the mean absolute deviation=1

Thus correct option is a. 1

User Champer Wu
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