Relation between the standard deviation of logarithmized sample and the non-logarithmized sample values

Description

Log-normal (or lognormal) distribution is a continuous probability distribution of a random variable whose logarithm is normally distributed. The standard deviation measures the amount of variation or dispersion from the average.

Related formulas

Variables

σStandard deviation of the logarithmized sample (dimensionless)
vVariance of the non-logarithmized sample (dimensionless)
mMean of the non- logarithmized sample (dimensionless)