First slide

Introduction to statistics

Question

The arithmetic mean of first n odd natural numbers, is

Easy

A

$n$
B

$\frac{n}{2}$
C

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

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

Solution

First $n$ odd natural numbers are
$1, 3, 5, \dots, (2 n - 1)$
So, required mean $= \frac{1 + 3 + 5 + \dots + (2 n - 1)}{n}$
$\Rightarrow$ Required Mean $= \frac{\frac{n}{2} {1 + 2 n - 1}}{n} = n$ .

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