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median absolute deviation : ウィキペディア英語版
median absolute deviation

In statistics, the median absolute deviation (MAD) is a robust measure of the variability of a univariate sample of quantitative data. It can also refer to the population parameter that is estimated by the MAD calculated from a sample.
For a univariate data set ''X''1, ''X''2, ..., ''Xn'', the MAD is defined as the median of the absolute deviations from the data's median:
:
\operatorname = \operatorname_\left(\ \left| X_ - \operatorname_ (X_) \right|\ \right), \,

that is, starting with the residuals (deviations) from the data's median, the MAD is the median of their absolute values.
==Example==

Consider the data (1, 1, 2, 2, 4, 6, 9). It has a median value of 2. The absolute deviations about 2 are (1, 1, 0, 0, 2, 4, 7) which in turn have a median value of 1 (because the sorted absolute deviations are (0, 0, 1, 1, 2, 4, 7)). So the median absolute deviation for this data is 1.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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