KURT function

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 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.

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:

Equation

where s is the sample standard deviation.

Example

The example may be easier to understand if you copy it to a blank worksheet.

ShowHow to copy an example

  • Create a blank workbook or worksheet.
  • Select the example in the Help topic.

 Note   Do not select the row or column headers.

Selecting an example from Help

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 Formulas tab, in the Formula Auditing group, click the Show Formulas button.
 
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Data
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Formula Description (Result)
=KURT(A2:A11) Kurtosis of the data set above (-0.1518)
 
 
Applies to:
Excel 2007