Editing Geometric standard deviation (section)

==Relationship to log-normal distribution==
The geometric standard deviation is used as a measure of [[log-normal distribution|log-normal]] dispersion analogously to the geometric mean.<ref name="Geometric means and measures of dispersion" /> As the log-transform of a log-normal distribution results in a normal distribution, we see that the
geometric standard deviation is the exponentiated value of the standard deviation of the log-transformed values, i.e. {{nowrap|<math>\sigma_\mathrm{g} = \exp(\operatorname{stdev}(\ln A))</math>.}}

As such, the geometric mean and the geometric standard deviation of a sample of
data from a log-normally distributed population may be used to find the bounds of [[confidence interval]]s analogously to the way the arithmetic mean and standard deviation are used to bound confidence intervals for a normal distribution.  See discussion in [[log-normal distribution]] for details.