Question

What is the mean absolute deviation of the data set? 8, 5, 12, 4, 5, 8, 7

a.1
b.2
c.5
d.7

Answer 1

The MAD is: 2

Explanation:

First, you add all the terms together. So we get 49.

Then, we divide 49 by the amount of terms. There are 7 terms, so we do 49/7.

We get 7. Now we have to find out the distance between each point and the mean, which is seven.

• 8-7= 1
• 7-5= 2
• 12-7=5
• 7-4=3
• 7-5=2
• 8-7=1
• 7-7=0

Now, we add all the distances together. We get 14.

Now, we divide 14 by the amount of terms, which is 7. 14/7 is 2.

The answer is b.