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.
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If there are fewer than three data points, or the sample standard deviation is zero, SKEW returns the #DIV/0! error value.
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The equation for skewness is defined as:
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) |