Calculate the mean deviation from mean as well as from median and coefficient of mean deviation from the following data:

Explanation

Calculation of Mean Deviation

`barX=(sumX)/(N)=(405)/(9)=45`
Mean Deviation from Mean
`MD_(barX)=(sum|dbarx|)/(N)=(160)/(9)`
=17.78
Coefficient of Mean Deviation
`=(MD_(barx))/(X)=(17.78)/(45)=0.40`
Median =Size of `((N+1)/(2))th" item"`
=Size of `((9+1)/(2))th" item"`
=Size of 5th item=40
Mean Deviation from Median
`MD_(m)=(sum|dm|)/(N)=(155)/(9)`
=17.22
Coefficient of Mean Deviation
`=(MD_(m))/(M)=(17.22)/(40)=0.43`