Statistical
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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.
Applies To:
Excel for Microsoft 365Excel for Microsoft 365 for MacExcel 2024Excel 2024 for MacExcel 2021Excel 2021 for MacExcel 2019Excel 2016
=KURT(number1, [number2], ...)
Hover argument names in the table for details.
Output typeNumber
Popularity5 / 100
VolatileNo
Dynamic ArrayNo
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◧ Arguments
| Argument | Type | Required | Description |
|---|---|---|---|
number1 |
Number | Required | , number2, ... Number1 is required, subsequent numbers are optional. 1 to 255 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. |
▣ Examples
▦ Data
| Cell | Value |
|---|---|
A2 |
3 |
A3 |
4 |
A4 |
5 |
A5 |
2 |
A6 |
3 |
A7 |
4 |
A8 |
5 |
A9 |
6 |
A10 |
4 |
A11 |
7 |
A12 |
3 |
A13 |
4 |
A14 |
5 |
A15 |
2 |
A16 |
3 |
A17 |
4 |
A18 |
5 |
A19 |
6 |
A20 |
4 |
A21 |
7 |
Kurtosis of the data set above
=KURT(A2:A11)
Result:
-0.151799637
§ Remarks
- Arguments can either be numbers or names, arrays, or references that contain numbers.
- Logical values and text representations of numbers that you type directly into the list of arguments are counted.
- 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.
- Arguments that are error values or text that cannot be translated into numbers cause errors.
- 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.
✦ Tips
- Arguments can either be numbers or names, arrays, or references that contain numbers.
- Logical values and text representations of numbers that you type directly into the list of arguments are counted.
- 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.
- Arguments that are error values or text that cannot be translated into numbers cause errors.
- Kurtosis is defined as: where s is the sample standard deviation.
⚠ Common Errors
#DIV/0!
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.
Fix: Check the number and value of the data
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