Question

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

Answer 1

Answer: a. 1

Step-by-step explanation:

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

Mean absolute deviation: $MAD=\dfrac1n\sum^n_{i=1}|x_i-m|$, where m = mean

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

$=\frac{42}{6}\\\\=7$

Now, $MAD=\dfrac{|9-7|+|7-7|+|6-7|+|8-7|+|7-7|+|5-7|}{6}$

$MAD=\dfrac{2+0+1+1+0+2}{6}$

$MAD=\dfrac{6}{6}$

$MAD=1$

Hence, the mean absolute deviation=1

Thus correct option is a. 1