Using medium and arithmetic mean respectively, calculate mean deviation and its coefficient from the following data:

Explanation

(i) Calculate of Mean Deviation from Median

(a) Medium or M=Size of `((N+1)/(2))th` item
=Size of `((72+1)/(2))th` item
=Size of 36.5th item=10
(b) Mean Deviation from Median
Or`" " MD_(m)=(Sigmaf|dm|)/(N)=(148)/(72)`
=0.205
(ii) Calculate of Mean Deviation from Arithmetic Mean

`(a)barX = (sumfX)/(sumf) = (708)/(72) = 9.83`
(b) Mean Deviation from Arithmetic Mean
Or , `" " MD_(barX) = (sumf|dbarx|)/(sumf) = (150. 04)/(72)`
= `2.08`
(c) Coefficient of Mean Deviation from Mean
= `(MD_(barX))/(barX) = (2.08)/(9.83) = 0.21`
= `0.21`