Answer:
Mean Absolute deviation = 4.406
Step-by-step explanation:
First start by calculating the mean
Mean = [tex]\frac{12 + 25 + 16 + 20 + 31 + 16 + 19 + 22}{8}[/tex] = 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 = [tex]\frac{8.125+4.875+4.125+0.125+10.875+4.125+1.125+1.875}{8}[/tex]
= 4.40626 to the nearest hundredth
≅4.406
