Advanced Excel Statistical - SKEW Function

Description

The SKEW function 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.

SKEW (number1, [number2] ...)

Argument	Description	Required/ Optional
Number1	1 to 255 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.	Required
number2, ...	optional

Argument

Description

Required/ Optional

Number1

1 to 255 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.

Required

number2, ...

optional

The equation for skewness is defined as −

$$\frac{n}{\left ( n-1 \right )\left ( n-2 \right )}\sum \left ( \frac{x_i-\bar{x}}{s} \right )^3$$
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 three data points, or the sample standard deviation is zero, SKEW returns the #DIV/0! error value.
If any of the number arguments that are supplied directly to the function are not recognized as numeric values, Skew returns the #VALUE! error value.

Excel 2007, Excel 2010, Excel 2013, Excel 2016

advanced_excel_statistical_functions.htm