Median absolute deviation
Statistical measure of variability
Statistical measure of variability
In statistics, the median absolute deviation (MAD), also referred to as the median absolute deviation from the median (MADFM), is a robust or outlier-resistant measure of the variability of a univariate sample of quantitative data. For a univariate data set X1, X2, ..., Xn, the MAD is defined as the median of the absolute deviations from the data's median, MAD = median ( | X i − X ~ | ) {\displaystyle \operatorname {MAD} =\operatorname {median} (|X_{i}-{\tilde {X}}|)} . It can also refer to the population parameter that is estimated by the MAD calculated from a sample.
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