2005•Encyclopedia of BiostatisticsRequires access

Mean Deviation

Frank R. Hampel

Abstract

Abstract The mean deviation of a set of measurements is the mean of the absolute deviations from some location measure, which may be the sample mean or median, a population mean or some other constant. Its relation to the standard deviation is described. For normal samples, the standard deviation is a more efficient estimator of the population standard deviation, but the reverse is true for some forms of contaminated distributions.

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Key concepts: Standard deviation, Population mean, Mathematics, Mean value, Absolute deviation, Statistics, Geometric standard deviation, Relative standard deviation