Calculate the mean deviation about median age for the age distribution of 100 persons given below: Age      16-20     21-25    26-30     31-35    36-40      41-45    46-50    51-55 Number   5             6           12         14          26          12          16         9

Explanation

Here, `N=100`

`N/2​=50`

which occurs in the cumulative frequency `63`.

Hence, the median class is `35.5−40.5`

Median `M=l+​(N/2​−C_(f−1))/f_m​​​×h`

`=35.5+(50−37)/26​×5`

`=35.5+(13)/(26)​×5`

`=M=35.5+2.5=38`

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