Question

What is the mean absolute deviation of the data set?

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

Answer 1

The mean absolute deviation is 1.75

Step-by-step explanation

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

The mean is

`\bar X = (2 + 2 + 5 + 6 + 8 + 4 + 8 + 6)/(8) = 5`

The mean absolute value deviation is given by:

`=( \sum |x -\bar X| )/(n)`

`= ( | 2 - 5| + |2 - 5|+ |5- 5|+ |6 - 5|+ |8 - 5| + |4 - 5|+ |8- 5|+ |5 - 5| )/(8)`

`= ( 3 + 3+ 0+ 1+ 3 + 1+3+ 0)/(8)`

`= (14)/(8)`

`= 1.75`