# Documentation/Calc Functions/NORM.S.DIST

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## Function name:

NORM.S.DIST

## Category:

Statistical Analysis

## Summary:

Calculates values of the probability density function or cumulative distribution function for the standard normal distribution. The standard normal distribution has a mean of zero and a standard deviation of one.

## Syntax:

NORM.S.DIST(**Number**; **Cumulative**)

## Returns:

Returns a real number in the range [0, 1] which is the value of the probability density function or cumulative distribution function for the standard normal distribution for the specified value.

## Arguments:

**Number** is a real number or a reference to the cell containing that number which is the value for which the standard normal distribution is to be calculated.

**Cumulative** can be 0 or False to calculate the probability density function. It can be any other value or True to calculate the cumulative distribution function.

## Additional details:

- The formula for NORM.S.DIST is:

If **Cumulative** is FALSE(), NORM.S.DIST returns the probability density function value

If **Cumulative** is TRUE(), NORM.S.DIST returns the cumulative distribution function value

- For more details on the standard normal distribution, visit Wikipedia.

## Examples:

Formula | Description | Returns |
---|---|---|

=NORM.S.DIST(1;0) | The function calculates the probability density function of the standard normal distribution for the given value. | 0.241970724519143 |

=NORM.S.DIST(1;1) | The area below the standard normal distribution curve to the left of X value 1 is around 84% of the total area. | 0.841344746068543 |

=NORM.S.DIST(7.14;1) | The function calculates the cumulative distribution function of the standard normal distribution for the given value. | 0.999999999999533 |

=NORM.S.DIST(-7.14;1) | The function calculates the cumulative distribution function of the standard normal distribution for the given value. | 4.66654595751322E-13 |

## Related LibreOffice functions:

## ODF standard:

None

## Equivalent Excel functions:

NORM.S.DIST