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:

A
$\frac{n (n + 1)}{2}$
B
$\frac{n}{2}$
C
$\frac{n + 1}{2}$
D
none of these

Solution:

We have,

$\bar{X} = \frac{1 + 2 + 3 + \dots + n}{n} = \frac{n (n + 1)}{2 n} = \frac{n + 1}{2}$

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