Question

if the varience if a data is 6.25 find its standard deviation​

Answer 1

The standard deviation$(\sigma)=2.5$

Step-by-step explanation:

Given by question,

Variance = 6.25

To find, the standard deviation(​$\sigma$)=?

We know that,

Variance $=\sigma^2$

∴ $\sigma=\sqrt{Variance}$

The standard deviation($\sigma$)$=\sqrt{6.25}$

$=\sqrt{\dfrac{625}{100}}$

$=\sqrt{\dfrac{25\times 25}{10\times 10}}$

$=\dfrac{25}{10}=2.5$

Hence, the standard deviation($\sigma)=2.5$