# Documentation/Calc Functions/VAR

VAR

## Category:

Statistical Analysis

## Summary:

Calculates a sample variance of a set of numbers.

## Syntax:

VAR(Number 1 [; Number 2 [; … [; Number 255]]])

## Returns:

Returns a non-negative real number which is the estimated sample variance based on the 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.

• The parameters should specify at least two values. If there are less than two values, then the function will return a division (#DIV/0!) error.
• If any of the arguments contain text values either being passed directly then the function returns a name (#NAME?) error and if passed with double quotes then the function returns an error value (Err:504).
• If a cell contains text, error value, or empty cells, then the function ignores these values. For logical values, TRUE is considered as 1, and FALSE is considered as 0.
• If a cell contains 0 then the function includes it.

• The formula for VAR is:

where xi is Number i, n is the count of xi's and x̄ is mean value.

• For more details on variance, visit Wikipedia.

## Examples:

Formula Description Returns
=VAR(3;4;5;6;2;3;1) The function calculates the sample variance of the data 2.95238095238095
=VAR(A1:A5) where A1:A5 contains 1,2,3,4,5 The function calculates the sample variance of the data passed as a reference to the cells. 2.5
=VAR(3,4,-5,6.05,2,3,-1.5) The function calculates the sample variance of the data 13.7991666666667
=VAR(3,"alpha",-5,6.05,2,3,-1.5) The function returns an error value since one of the numbers is a string. Err:504
=VAR(3) The function will return a division error since less than 2 arguments are available. #DIV/0!

VAR