SKEW.P Function

Excel Functions › Statistical

Excel 2010+ Statistical

The Excel SKEW.P function returns the skewness of a distribution based on a population — a measure of the asymmetry of data around its mean, treating the data as the entire population rather than a sample.


Quick answer:
=SKEW.P({3,4,5,2,3,4,5,6,4,7}) population skewness =~ 0.303

Syntax

=SKEW.P(number1, [number2], ...)
ArgumentDescription
number1RequiredThe first number, array, or range to include. At least three data points are required.
number2, ...OptionalUp to 254 additional numbers, arrays, or ranges.

How to use it

SKEW.P measures the asymmetry of a distribution using the population formula. As with SKEW, a positive result means a right-leaning tail, a negative result a left-leaning tail, and a value near zero a symmetric shape.

=SKEW.P({3,4,5,2,3,4,5,6,4,7}) // population skew =~ 0.303
=SKEW.P({1,2,3,4,5}) // symmetric = 0

The only difference from SKEW is the divisor: SKEW.P divides by n (population), while SKEW applies the (n-1)(n-2) sample correction. For the same data SKEW.P therefore returns a slightly smaller magnitude.

When to use SKEW.P: use it when your data represents the complete population. If the data is a sample drawn from a larger group, use SKEW instead.

Try it: interactive demo

Live demo

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Result:

Practice workbook

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Frequently asked questions

What is the difference between SKEW.P and SKEW?
SKEW.P uses the population skewness formula (dividing by n); SKEW uses the sample formula with an (n-1)(n-2) correction. SKEW.P returns a slightly smaller magnitude for the same data.
When should I use SKEW.P instead of SKEW?
Use SKEW.P when your data is the entire population. Use SKEW when the data is a sample drawn from a larger population and you want to estimate the population skewness.
Which Excel versions have SKEW.P?
SKEW.P was introduced in Excel 2010 as part of the renamed statistical function set. The older SKEW remains available in all versions.
How many data points does SKEW.P need?
At least three numeric points. With fewer points, or when all values are identical (zero standard deviation), SKEW.P returns a divide-by-zero error.

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Related functions: SKEW · KURT · STDEV.P · AVERAGE · MEDIAN