First slide

Introduction to statistics

Question

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

Easy

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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