Question

What is the absolute deviation of the data set 4, 4, 6, 6, 7, 8, 8, 8, 9, 10

Answer 1

Mean absolute deviation = 1.6.

Explanation:

The mean = (4+4+ 6+ 6+ 7+ 8+ 8 + 8 +9+ 10) / 10

= 7.

List the differences from the mean:

4 - 7 = -3

-3

-1

-1

0

1

1

1

2

3

Sum of the absolute value of the difference

= 3 + 3 + 1 + 1 + 0 + 1 + 1 + 1 + 2 + 3

= 16.

So the Mean Absolute deviation = 16 / 10 = 1.6.