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  4. If the mean deviation about the mean of the numbers 1,2,3, ldots ., n, where n is odd, is (5( n +1)/ n ), then n is equal to

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Q. If the mean deviation about the mean of the numbers $1,2,3, \ldots ., n$, where $n$ is odd, is $\frac{5( n +1)}{ n }$, then $n$ is equal to_____

JEE MainJEE Main 2022Statistics

Solution:

Mcan deviation about mean of first $n$ natural numbers is $\frac{ n ^{2}-1}{4 n }$
$\therefore n =21$