Log‑normal Distribution Median Calculator
For a log‑normal distribution where \(\ln(X) \sim N(\mu, \sigma^2)\), the median is: $$ \text{Median} = \exp(\mu). $$
* Enter the location parameter \(\mu\) (in practice, \(\mu\) is the mean of \(\ln(X)\)).
Step 1: Enter Parameter
e.g., 0
How It Works
The log‑normal distribution describes a random variable whose logarithm is normally distributed.
If \(\ln(X) \sim N(\mu, \sigma^2)\), the median of \(X\) is the 50th percentile, which for the underlying normal distribution is \(\mu\).
Therefore, the median of \(X\) is given by: $$ \text{Median} = \exp(\mu). $$