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From a set of n(n gt 1) numbers, all exc...

From a set of `n(n gt 1)` numbers, all except one, which is `n-(1)/(4)` are `n's`. Find the mean of all the `n` numbers.

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Let all numbers from 1 to `n` are `n's` except the `nth` number, which is `n-(1)/(4)`.
`So, " required mean"= (ubrace(n+n+n+...+n)_((n-1)"times")+(n-(1)/(n)))/(n)`
`= (n(n-1) + (n-(1)/(n)))/(n)`
`= (n^(2)-(1)/(n))/(n) = n-(1)/(n^(2))`
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