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Skewness

Skewness[list]
gives the coefficient of skewness for the elements in list.

Skewness[dist]
gives the coefficient of skewness for the symbolic distribution dist.

A positive skewness indicates a distribution with a long right tail. A negative skewness indicates a distribution with a long left tail.

Skewness[{{x₁, y₁, ...}, {x₂, y₂, ...}, ...}] gives {Skewness[{x₁, x₂, ...}], Skewness[{y₁, y₂, ...}], ...}.

Skewness[list] is equivalent to CentralMoment[list, 3]/CentralMoment[list, 2]^3/2.

Skewness for a list of values:

Skewness for a symbolic distribution:

Skewness for a list of values:

Skewness for a symbolic distribution:

Compute results at machine precision:

Obtain results at any precision:

Skewness of a matrix will compute column-wise:

Compute results for a large vector or matrix:

Obtain results for continuous and discrete distributions:

Compute results for a SparseArray:

Skewness for a distribution can be computed from ExpectedValue and StandardDeviation:

Symmetric distributions have 0 skewness:

Distributions with longer tails to the right have positive skewness:

Distributions with longer tails to the left have negative skewness: