Finding the standard deviation of numbers is as simple as the square root of the variance in statistics.

In this lesson, you will learn the formula and the step-by-step method for finding the standard deviation of numbers.

BONUS:A link to practice questions on statistics is included at the end of this lesson.

## Formula for finding the standard deviation of numbers

The formula for finding the standard deviation of numbers is the square root of the variance.

SD=\sqrt{V}

**Where:**

- SD = Standard Deviation
- V = Variance

## Question on finding the standard deviation of numbers

QuestionFind the standard deviation of the following numbers:

15, 11, 8, 3, 13 , 8, 5

## STEP 1.

### Find the variance of the numbers

WorkingThe variance of

15, 11, 8, 3, 13 , 8, 5= 15.71

## STEP 2.

### Find the square root of the variance

\sqrt{15.71} = 3.96

## Final answer

The standard deviation of the following numbers:

15, 11, 8, 3, 13 , 8, 5=

3.96

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