Question

if the variance is 25 then the standard deviation is​

Answer 1

If the variance is 25 then the standard deviation is 5

Given :

The variance is 25

To find :

The standard deviation

Solution :

Step 1 of 2 :

Write down variance

Here it is given that variance is 25

Step 2 of 2 :

Find the standard deviation

The standard deviation

$\sf = \sqrt{Variance}$

$\sf = \sqrt{25}$

$\sf = 5$

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Answer 2

Concept:

A standard deviation is a measure of how spread out the data is in comparison to the mean. A low standard deviation suggests that data is grouped around the mean, whereas a large standard deviation shows that data is more dispersed. When the standard deviation is near to zero, the data points are close to the mean.

Given:

The variance is 25.

To Find:

We have to find the standard deviation.

Solution:

By considering the given data,

We know that standard deviation is given by the square root of variance.

$Standard Deviation=\sqrt{Variance}$

$Standard Deviation=\sqrt{25} =5$

Hence the standard deviation is $5$

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