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The median is the value below which half the data or probability distribution lies - when the sample size is odd, the median is the 'middle' value of an ordered sample.
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Plotting raw data, but running statistics on log-transformed data
If the log-transformed data appear to follow a normal distribution, then the original data follow a log-normal distribution. This implies that hypothesis tests that assume normality can be run on the …
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How does the expected value relate to mean, median, etc. in a non-normal distribution?
There is a nice relationship between the harmonic, the geometric, and the arithmetic mean of a log-normally distributed random variable $X \sim \mathcal{LN}\left( \mu,\sigma^2 \right)$. The parameters …