# Documentation/Calc Functions/VARPA

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## Function name:

VARPA

## Category:

Statistical Analysis

## Summary:

Calculates the population standard deviation of a set of numbers, including values of type Text and Logical.

## Syntax:

VARPA(**Number 1**[; **Number 2**[; ...[; **Number 255**]]])

## Returns:

Returns a non-negative real number which is the population standard deviation of a set of numbers passed in the arguments.

## Arguments:

**Number 1**, **Number 2**, ..., **Number 255** are real numbers, an array of real numbers, reference to a cell or to cell ranges of numbers. Text has the value 0.

- If only one value is passed the function will return 0.
- If any of the arguments contain text value being passed with double quotes then the function uses the value 0 for that text. However, if the text is passed without double quotes then the function returns a name (#NAME?) error.
- If a cell contains text, logical values, error value, then the function uses the value 0 for them. For logical values, TRUE is considered as 1, and FALSE is considered as 0. However, empty cells are ignored.
- If a cell contains 0 then the function includes it.

## Additional details:

- The formula for VARPA is:

where x_{i} is **Number i**, n is the count of x_{i}'s and x̄ is mean value.

- For more details on the variance of the entire population, visit Wikipedia.

## Examples:

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

=VARPA(3;4;5;6;2;3;1) | The function calculates the variance of the given population | 2.53061224489796 |

=VARPA(3;4;5;6;2;3;1;"alpha") | The function calculates the variance of the given population. Text has the value 0. | 3.5 |

=VARPA(A1:A5) where A1:A5 contains 1,2,3,4,5 | The function calculates the variance of the population passed as a reference to the cell. | 2 |

=VARPA(3,4,-5,6.05,2,3,-1.5) | The function calculates the sample variance of the given population | 11.8278571428571 |

=VARPA(A1:A6) where A1:A6 contains 1,2,3,4,5, alpha(text) | The function calculates the variance of the population passed as a reference to the cell. Text has the value 0. | 2.91666666666667 |

=VARPA(3) | The function will returns 0 since only one argument is passed. | 0 |

## Related LibreOffice functions:

## ODF standard:

## Equivalent Excel functions:

VARPA