The mean of the distribution, in which the values of X are 1,2,…,n the frequency of each being unity is:

# The mean of the distribution, in which the values of X are $1,2,\dots ,n$ the frequency of each being unity is:

1. A

$\frac{n\left(n+1\right)}{2}$

2. B

$\frac{n}{2}$

3. C

$\frac{n+1}{2}$

4. D

none of these

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### Solution:

We have,

$\overline{X}=\frac{1+2+3+\dots +n}{n}=\frac{n\left(n+1\right)}{2n}=\frac{n+1}{2}$

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