# Standard Deviation

Block Group: | Statistical Functions |

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The Standard Deviation block calculates standard deviation based on a list of arguments. The standard deviation is a measure of how widely values are dispersed from the mean.

The Standard Deviation block uses the following expression:

In this expression, *x* is the sample value, is the mean of all *x* values, and *n* is the sample size.

#### Note

If none of the **input n** values is a number, the block outputs

**NaN**.

For information on standard deviation, see Standard deviation on Wikipedia.

For information on using dataflow blocks, see Dataflow.

For accepted and excluded arguments of Statistical Functions blocks, see Statistical Functions.

## Input/Output Property

The following property of the Standard Deviation block can take input and give output.

- input
*n**(number)*

**input n** defines one of the numbers in the sample.

## Output Property

The following property of the Standard Deviation block can give output but cannot take input.

- output
*(number)*

**output** returns the standard deviation of the input values.