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KURT
Returns the kurtosis of a data set. Kurtosis characterizes the relative peakedness or flatness of a distribution compared with the normal distribution. Positive kurtosis indicates a relatively peaked distribution. Negative kurtosis indicates a relatively flat distribution.
Syntax
KURT(number1,number2, ...)
Number1,number2, ... are 1 to 30 arguments for which you want to calculate kurtosis. 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 four data points, or if the standard deviation of the sample equals zero, KURT returns the #DIV/0! error value.
- Kurtosis is defined as:
where:
s is the sample standard deviation.
Example
The example may be easier to understand if you copy it to a blank spreadsheet.
- Create a blank spreadsheet.
- Select the example in the Help topic.
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Selecting an example from Help
- Press CTRL+C.
- In the spreadsheet, select cell A1, and press CTRL+V.
- To switch between viewing the formula that returns the result and the result in the cell, select the cell and press F2 and then ENTER, or click Commands and Options on the spreadsheet toolbar, click the Formula tab, and look in the Formula in active cell (active cell) box.
Data | |
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3 | |
4 | |
5 | |
2 | |
3 | |
4 | |
5 | |
6 | |
4 | |
7 | |
Formula | Description (Result) |
=KURT(A2:A11) | Kurtosis of a data set above (-0.1518) |