Calculate the mean deviation about the median for the following data :

Explanation

First we find the median.

Thus N=100 and therefore, `(N)/(2)=50`
`rArr" median class is "125-135`
`rArr" "L=125, f=30, h=10 and c=47.`
`therefore" median"=L+(((N)/(2)-c))/(f)xxh`
`={125+((50-47))/(30)xx10}=(125+1)=126.`
`therefore" "M=126.`
Now, we prepare the table given below.

`therefore" "MD(M)=(Sigmaf_(i)xx|x_(i)-M|)/(N)=(1134)/(100)=11.34`
Hence, the mean deviation about the median is 11.34.