Standard Deviation Calculator

sd command returns the standard deviation of given values.

sd 1 2 3

Result:

0.816496580927726

The arguments should be separated by space or comma.

sd 1, 2, 3

How to calculate standard deviation

The standard deviation of 4, 5, 12 is 3.559026084010437.

sd 4 5 12

Result:

3.559026084010437

How can we get the standard deviation of 4, 5, 12?

First, calculate the average of them.

\[ \frac{ (4 + 5 + 12) }{ 3 } = 7 \]

The average is 7. Next, get the square of difference between the element value and the average:

\[ (4-7)^2 = 9 \\ (5-7)^2 = 4 \\ (12-7)^2 = 25 \]

Then, get the average of them.

\[ \frac{ (9 + 4 + 25) }{ 3 } = 12.67 \]

Finally, calculate the square root of 12.67.

\[ \sqrt{ 12.67 } = 3.5590 \]

This value is the standard deviation of 4, 5, 12. How to calculate the standard deviation can be concluded as the below.