First slide

Introduction to statistics

Question

The arithmetic mean of first n natural numbers, is

Moderate

A

$\frac{n}{2}$
B

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

$\frac{n (n + 1)}{2}$
D

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

Solution

Clearly,
Required mean $= \frac{1 + 2 + \dots + n}{n} = \frac{n (n + 1)}{2 n} = \frac{n + 1}{2}$

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