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Hozo, S-P, Djulbegovic, B and Hozo, I (2005). [attachment:meanmedian.pdf Estimating the mean and variance from the median, range, and the size of a sample.] ''BMC Medical Research Methodology'' '''5''' 13. doi:10.1186/1471-2288-5-13. See also the link [http://www.biomedcentral.com/1471-2288/5/13 here.] | Hozo, S-P, Djulbegovic, B and Hozo, I (2005). [[attachment:meanmedian.pdf|Estimating the mean and variance from the median, range, and the size of a sample.]] ''BMC Medical Research Methodology'' '''5''' 13. doi:10.1186/1471-2288-5-13. See also the link [[http://www.biomedcentral.com/1471-2288/5/13|here.]] |
What is the relationship between the median and the mean?
Hozo et al. (2005) show that for a variable with minimum, min and maximum, max its mean is approximately equal to $$\frac{\mbox{min+median+max}}{4}$$. They suggest using this for small samples < 25.
Reference
Hozo, S-P, Djulbegovic, B and Hozo, I (2005). Estimating the mean and variance from the median, range, and the size of a sample. BMC Medical Research Methodology 5 13. doi:10.1186/1471-2288-5-13. See also the link here.