Question

What is the mean absolute deviation of the data set?

(12,10,10,8,6,7,7,12)
a.1.
B.2.
C.6.
D.9

Answer 1

B. 2

Explanation:

Answer 2

First calculate the mean:


`\text{mean}=(12+10+10+8+6+7+7+12)/(8)=9`

Next calculate the distance between each data point and the mean, and add them together. We get:


`|12-9|+|10-9|+ |10-9|+|8-9|+|6-9|+2*|7-9|+|12-9|\\ =16`

Take this number and divide with the number of observations:


`\text{MAD}=(16)/(8)=2`