First slide

Introduction to statistics

Question

The standard deviation of the data 6, 5 , 9 , 13, 12, 8, 10 is

Moderate

A

$\sqrt{\frac{52}{7}}$
B

$\frac{52}{7}$
C

$\sqrt{6}$
D

6

Solution

Given, numbers are: 6,5,9,13,12, 8, 10

$\begin{array}{l} ∴ S.D. = σ = \sqrt{\frac{Σ x_{i}^{2}}{N} - {(\frac{Σ x_{i}}{N})}^{2}} = \sqrt{\frac{619}{7} - {(\frac{63}{7})}^{2}} \\ = \sqrt{\frac{7 \times 619 - 3969}{49}} = \sqrt{\frac{4333 - 3969}{49}} \\ = \sqrt{\frac{364}{49}} = \sqrt{\frac{52}{7}} \end{array}$

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