Question

Find the mean absolute deviation of the number of points scored. Round to the nearest hundredth if necessary.

12 25 16 20

31 16 19 22

Answer 1

Mean Absolute deviation = 4.406

Explanation:

First start by calculating the mean

Mean =
`(12 + 25 + 16 + 20 + 31 + 16 + 19 + 22)/(8)` = 20.125

Find the distance of each value from the mean

12 - 20.125 = -8.125

25 - 20.125 = 4.875

16 - 20.125 = -4.125

20 - 20.125 = -0.125

31 - 20.125 = 10.875

16 - 20.125 = -4.125

19 - 20.125 = -1.125

22 - 20.125 = 1.875

(Exclude the minus signs before adding to get the mean absolute deviation)

Find the mean of the distances

Mean absolute Deviation =
`(8.125+4.875+4.125+0.125+10.875+4.125+1.125+1.875)/(8)`

= 4.40626 to the nearest hundredth

≅4.406