Log-Normal Distribution Calculator

Calculate probabilities and properties of the log-normal distribution

About Log-Normal Distribution

A random variable X is log-normally distributed if ln(X) follows a normal distribution. The distribution is always positive and right-skewed.

Key Properties:

  • Mean = e^(μ + σ²/2)
  • Median = e^μ
  • Mode = e^(μ - σ²)

Applications: Stock prices, income distribution, particle sizes, bacterial colony sizes

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Editorial Note

MyCalcBuddy Editorial Team

This page is maintained as an educational calculator reference.

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Formula Source: Standard Mathematical References

by Various

🔄Last reviewed: May 2026
✓Formula checks are based on standard references and internal QA review.