The distribution of prisoner sex ratios across 209 jurisdictions worldwide about the year 2010 is approximately log normal. A normal probability plot of the log of the prisoner sex ratio is close to the 45-degree line for the standard normal distribution.That indicates an approximately log-normal distribution. Given such a distribution, prisoner sex ratios can be meaningfully characterized with the sex-ratio dispersion index.
The underlying prisoner population data are from the Adapted Walmsley Prisoner Dataset.