Question

In the data set below, what is the mean absolute deviation? 38147 If the answer is a decimal, round it to the nearest tenth. mean absolute deviation (MAD):

Answer 1

2.32

Explanation:

Given the data:

3, 8, 1, 4, 7

The mean absolute deviation (MAD) :

Σ|x - m| / n

Mean, m = Σx / n

Σx = 23

n = 5

Mean, m = 23 / 5 = 4.6

|3 - 4.6| + |8 - 4.6| + |1 - 4.6| + |4 - 4.6| + |7 - 4.6|

(1.6 + 3.4 + 3.6 + 0.6 + 2.4) / 5

= 2.32