Standardized moment

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In probability theory and statistics, the kth standardized moment of a probability distribution is μ_k/σ^k, where μ_k is the kth moment about the mean and σ is the standard deviation.

• The first standardized moment is zero, because the first moment about the mean is zero
• The second standardized moment is one, because the second moment about the mean is equal to the variance (the square of the standard deviation)
• The third standardized moment is used to define skewness.
• The fourth standardized moment is used to define kurtosis.

[edit] See also

• Moment (mathematics)