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.

Syntax

SKEW(number1,number2,...)

Number1,number2...     are 1 to 30 arguments for which you want to calculate skewness.

Remarks

  • The arguments must be either numbers or column references that contain numbers.

  • If a column reference argument contains text, logical values, or is empty , those values are ignored; however, arguments with the value zero are included.

  • If there are fewer than three data points, or the sample standard deviation is zero, SKEW returns the #DIV/0! error value.

  • The equation for skewness is defined as:

    Equation

Example

D1

D2

D3

D4

D5

D6

D7

D8

D9

D10

Formula

Description (Result)

3

4

5

2

3

4

5

6

4

7

=SKEW([D1], [D2], [D3], [D4], [D5], [D6], [D7], [D8], [D9], [D10])

Skewness of a distribution of the data set (0.359543)

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