Show All
SKEW
See Also
Returns the skewness of a distribution. Skewness characterizes the degree of asymmetry of a distribution around its mean. Positive skewness indicates a distribution with an asymmetric tail extending toward more positive values. Negative skewness indicates a distribution with an asymmetric tail extending toward more negative values.
Syntax
SKEW(number1,number2,...)
Number1, number2 ... are 1 to 30 arguments for which you want to calculate skewness. You can also use a single array or a reference to an array instead of arguments separated by commas.
Remarks
- The arguments must be either numbers or names, arrays, or references that contain numbers.
- If an array or reference argument contains text, logical values, or empty cells, those values are ignored; however, cells with the value zero are included.
- If there are fewer than three data points, or the sample standard deviation is zero, SKEW returns the #DIV/0! error value.
- The equation for skewness is defined as:
![Equation](../img/awfskew.gif)
Example
The example may be easier to understand if you copy it to a blank worksheet.
How?
- Create a blank workbook or worksheet.
- Select the example in the Help topic. Do not select the row or column headers.
![Selecting an example from Help](../img/selecthelp.gif)
Selecting an example from Help
- Press CTRL+C.
- In the worksheet, select cell A1, and press CTRL+V.
- To switch between viewing the results and viewing the formulas that return the results, press CTRL+` (grave accent), or on the Tools menu, point to Formula Auditing, and then click Formula Auditing Mode.
|
A |
Data |
3 |
4 |
5 |
2 |
3 |
4 |
5 |
6 |
4 |
7 |
Formula |
Description (Result) |
=SKEW(A2:A11) |
Skewness of a distribution of the data set above (0.359543) |
|