First slide

Introduction to statistics

Question

The variance of first 50 even natural number is

Moderate

A

$\frac{833}{4}$
B

833
C

437
D

$\frac{437}{4}$

Solution

$Mean \bar{x} of first 50 even natural numbers$ $= \frac{2 + 4 + 6............ + 100}{50}$
$= \frac{1}{2} (2 + 100) = 51$
$Variance σ^{2} = \frac{\sum x i^{2}}{n} - (\bar{x})^{2} = \frac{2^{2} + 4^{2} + 6^{2} + \dots \dots \dots . . + 100^{2}}{50} - (51)^{2}$
$= \frac{4 (1^{2} + 2^{2} + 3^{2} + \dots \dots + 50^{2})}{50} - (51)^{2}$
$= 3434 - 2601 = 833$

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App