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
Question
Find the standard deviation of the following numbers:
15, 11, 8, 3, 13 , 8, 5
STEP 1.
Find the variance of the numbers
Working
The 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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