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Skewness & Kurtosis Calculator

Calculate skewness and kurtosis to understand the shape of your data distribution. Skewness measures symmetry; kurtosis measures tail heaviness relative to a normal distribution.

Skewness measures the asymmetry of a distribution:

  • Skewness = 0: Symmetric (like normal distribution)
  • Skewness > 0: Right-skewed (tail extends right, mean > median)
  • Skewness < 0: Left-skewed (tail extends left, mean < median)

Pearson's Approximations

  • First: (Mean - Mode) / SD
  • Second: 3(Mean - Median) / SD

Kurtosis measures tail heaviness:

  • Excess kurtosis = 0: Mesokurtic (normal distribution)
  • Excess kurtosis > 0: Leptokurtic (heavy tails, more outliers)
  • Excess kurtosis < 0: Platykurtic (light tails, fewer outliers)

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