First slide

Introduction to statistics

Question

$The mean of a set of numbers is \bar{X} . If each number is divided by 3, then the new mean is$

Moderate

A

$X$
B

$X + 3$
C

$3 X$
D

$\frac{X}{3}$

Solution

$Let x_{1}, x_{2}, \dots, x_{n} be n numbers. Then \bar{X} = \frac{1}{n} \sum_{i = 1}^{n} x_{i} .$
$If each number is divided by 3, then the new mean Y is$
given by
$\bar{Y} = \frac{1}{n} \sum_{i = 1}^{n} (\frac{x_{i}}{3}) = \frac{1}{3} (\frac{1}{n} \sum_{i = 1}^{n} x_{i}) = \frac{\bar{X}}{3}$

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