Answer:
Mean absolute deviation : 4 .4
Step-by-step explanation:
Given : {2, 5, 6, 12, 15}.
To find : What is the mean absolute deviation (MAD) of the data set.
Solution : We have given that {2, 5, 6, 12, 15}.
Mean : [tex]\frac{2+5+6+12+15}{5}[/tex].
Mean : [tex]\frac{40}{5}[/tex].
Absolute deviations: distance between each data point and the mean.
∣8−2∣=6
∣8−5∣=3.
∣8−6∣=2.
∣8−12∣= 4.
∣8−15∣=7.
Add the distances together:
6 +3 +2 +4 +7 = 22.
MAD : Divide the sum by the number of data points.
Mean absolute deviation : [tex]\frac{6 +3 +2 +4 +7}{5}[/tex].
Mean absolute deviation : [tex]\frac{22}{5}[/tex].
Mean absolute deviation : 4 .4
Therefore, Mean absolute deviation : 4 .4
