Calculate the mean deviation about the mean of the set of first `n` natural numbers when `n` is odd natural number.

Explanation

First natural numbers are `1,2,3, ldots, {n}`.

`n` is odd.

Mean `bar{x}=frac{1+2+3+ldots+n}{n} `

`=frac{frac{n(n+1)}{2}}{n} `

`=frac{n+1}{2}`

The deviations of mean `(frac{n+1}{2})` are

`1-frac{n+1}{2}, 2-frac{n+1}{2}, 3-frac{n+1}{2}, ldots, n-frac{n+1}{2}`

i.e., `-frac{n-1}{2}, frac{n-3}{2}, ldots,-2,-1,0,1,2, ldots, frac{n-1}{2}`.

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