we have the data set
3 1 5 4 8 6
step 1
Find the mean
mean=(3+1+5+4+8+6)/6
mean=27/6
mean=4.5
Remember that
The mean absolute deviation of a dataset is the average distance between each data point and the mean
so
Find the distance between each data point and the mean
(4.5-3)=1.5
4.5-1=3.5
5-4.5=0.5
4.5-4=0.5
8-4.5=3.5
6-4.5=1.5
MAD=(1/6)*{1.5+3.5+0.5+0.5+3.5+1.5}
MAD=11/6
MAD=1.83
Part 2
we have teh data set
78 45 60 33 84
find the mean
mean=(78+45+60+33+84)/5
mean=60
Find the distance between each data point and the mean
78-60=18
60-45=15
60-60=0
60-33=27
84-60=24
MAD=(1/5)*{18+15+0+27+24}
MAD=16.8
answer is 16.8