Advanced Excel Statistical - KURT Function

Description

The KURT function returns the kurtosis of a data set. Kurtosis characterizes the relative peakedness or flatness of a distribution compared with the normal distribution.

Two types of kurtosis exist. They are −

Positive kurtosis indicates a relatively peaked distribution.
Negative kurtosis indicates a relatively flat distribution.

Syntax

KURT (number1, [number2] ...)

Arguments

Argument	Description	Required/ Optional
Number1	1 to 255 arguments for which you want to calculate kurtosis.	Required
number2, ...	You can also use a single array or a reference to an array instead of arguments separated by commas.	Optional

Notes

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 any of the supplied number arguments that are supplied directly to the Function are not recognized as numeric values, KURT returns the #VALUE! error value.
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 −

$$\left \{ \frac{n\left ( n+1 \right )}{\left ( n-1 \right )\left ( n-2 \right )\left ( n-3 \right )} \sum \left ( \frac{x_j-\bar{x}}{s} \right )^4 \right \}-\frac{3\left ( n-1 \right )^2}{\left ( n-2 \right )\left ( n-3 \right )}$$

Where s is the sample standard deviation.

Applicability

Excel 2007, Excel 2010, Excel 2013, Excel 2016

Example

advanced_excel_statistical_functions.htm