Question

A data set is made up of the values 2, 3, 7, 8, 9, and 13.

The table shows the distance between each value and the mean of 7.

Data value Distance between
value and mean
2 5
3 4
7 0
8 1
9 2
13 6
Sum of distances 18
What is the mean absolute deviation (MAD) of the data set?

help please

Answer 1

3

Explanation:

Given the data :

2, 3, 7, 8, 9, 13

2 5

3 4

7 0

8 1

9 2

13 6

The mean, = Σx / n ; n = sample size

Mean = 42 / 6 = 7

The mean absolute deviation = Σ|x - mean| / n

The mean absolute deviation is Hence,

(5 + 4 + 0 + 1 + 2 + 6) / 6

Mean absolute deviation = 18 / 6

Mean absolute deviation = 3