# Documentation/Calc Functions/SKEW

SKEW

## Category:

Statistical Analysis

## Summary:

Calculates the skewness of a distribution using a sample set of numbers. Skewness is a measure of the asymmetry of a distribution about its mean.

## Syntax:

SKEW(Number 1[; Number 2[; ...[; Number 255]]])

## Returns:

Returns a real number which is the skewness of a distribution estimated using the specified sample of numbers.

## Arguments:

Number 1, Number 2, ..., Number 255 are numbers, references to cells or to cell ranges of numbers.

• The parameters should specify at least three values. If there are less than three values, then the function will return a division (#DIV/0!) error.
• If any of the arguments contain text value either being passed directly then the function returns a name (#NAME?) error and if 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. However, for logical values TRUE is considered as 1 and FALSE as 0.
• If a cell contains 0 then the function includes it.

• The formula for SKEW is:

where N is the count of data points, x̄ is the expectation value (mean of the specified set of numbers) and s is the standard deviation estimate (standard deviation of the specified set of numbers).

• For more details on skewness, visit Wikipedia.

## Examples:

Formula Description Returns
=SKEW(3;4;5;6;2;3;1) The function calculates the skewness of the data 0.168964169587949
=SKEW(A1:A5) where A1:A5 contains 1,2,3,4,5 The function calculates the skewness of the data passed as a cell range. 0
=SKEW(3;4) The function will return a division error since less than 3 values are specified. #DIV/0!

SKEW