Estimate mean and variance from median and range

[matthiaskoenig]

For some data we only have median and range information, e.g. often appears in tmax. The following publication provides estimation formulas for mean and variance which we could apply to calculate derived calculated data which we could use.

Hozo SP, Djulbegovic B, Hozo I. Estimating the mean and variance from the median, range, and the size of a sample. BMC Med Res Methodol. 2005 Apr 20;5:13. doi: 10.1186/1471-2288-5-13. PMID: 15840177; PMCID: PMC1097734.