Question

What is the mean absolute deviation of the data set?

2, 2, 5, 6, 8, 4, 8, 5

Answer 1

ANSWER

The mean absolute deviation is 1.75

EXPLANATION

The given date set is 2, 2, 5, 6, 8, 4, 8, 5

The mean is

$\bar X = \frac{2 + 2 + 5 + 6 + 8 + 4 + 8 + 6}{8} = 5$

The mean absolute value deviation is given by:

$=\frac{ \sum |x -\bar X| }{n}$

$= \frac{ | 2 - 5| + |2 - 5|+ |5- 5|+ |6 - 5|+ |8 - 5| + |4 - 5|+ |8- 5|+ |5 - 5| }{8}$

$= \frac{ 3 + 3+ 0+ 1+ 3 + 1+3+ 0}{8}$

$= \frac{14}{8}$

$= 1.75$