Question

The list shows the value of five accessories that Mary purchased for her cell phone. 29, 15, 22, 52, 38 What is the mean absolute deviation of the numbers in the list?

Answer 1

11.04

Explanation:

Given the data:

29, 15, 22, 52, 38

The mean absolute deviation :

Mean, m = Σx / n

n = sample size = 5

29 + 15 + 22 + 52 + 38 = 156

Mean = 156 / 5 = 31.2

Mean absolute deviation (MAD):

Σ|x - m| / n

(|29 - 31.2| + |15 - 31.2| + |22 - 31.2| + |52 - 31.2| + |38 - 31.2|) / 5

(2.2 + 16.2 + 9.2 + 20.8 + 6.8) / 5

55.2 / 5

= 11.04