Lognormal Distribution

Parameters: Location (L), Mean (), Standard Deviation ()

Mean =

Median =

Mode =

Translation from arithmetic to log parameters:

L = L; L is always in arithmetic space.

Log mean =

Log standard deviation =

where ln = natural logarithm.

Formula:

for:

Method: Inverse transformation

Translation from log to geometric parameters: L = L

Geometric mean =

Geometric std. dev. =

Translation from log to arithmetic parameters:

L = L

Arithmetic mean =

Arithmetic variance =