Can data be log-normally distributed by not normally?
2026-04-08 11:22:22.1775647342
How to test data for log-normal distribution?
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A variable $X$ has a log-normal distribution if and only if $\log(X)$ has a normal distribution, so to test wheter data is log-normally distributed, you can simply test wheter the log-transformed data is normally distributed.
"Can data be log-normally distributed by not normally?"
Yes of course! In fact it is impossible (apart for the trivial case of a constant) for a variable to be both log-normally and normally distributed at the same time, since the normal distribution can take both negative and positive values, but the log-normal distribution can only take positive values.