File talk:Lognormal Distribution.svg

Disputing factual accuracy of diagram

I believe the graph is incorrect. When I tried plotting both the cumulative distribution function and its derivative on a semi-log plot, and it appears that a cdf with a median value of 1 should produce a Gaussian bell curve, but the top of the Gaussian bell curve on a semi-log plot should not correspond to the median value, but instead to the modal value (that is, the peak y-value on the semi-log plot should be at the same x-value as the peak y-value on the linear-linear plot):

The cumulative distribution function and the corresponding probability density function of a log-normal distribution plotted on a semi-log plot. The median value is equal to 1, and the modal value is equal to 1/e.

Bfoshizzle1 (talk) 20:09, 18 February 2026 (UTC)