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

Question

asked Feb 8, 2022 192k views

1 Answer

Champer Wu · Answer 1 · 2022-02-14T11:31:43+0000

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