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MedianDeviation

MedianDeviation[list]
gives the median absolute deviation from the median of the elements in list.
  • For the list , the median deviation is given by the median of the list , where is the median of the list.
MedianDeviation of a list:
MedianDeviation of columns of a matrix:
MedianDeviation of a list:
In[1]:=
Click for copyable input
Out[1]=
 
MedianDeviation of columns of a matrix:
In[1]:=
Click for copyable input
Out[1]=
Compute results for any real numeric values:
Compute results at machine precision:
Obtain results at any precision:
Compute results for a large vector or matrix:
Obtain a robust estimate of dispersion when extreme values are present:
Measures based on the Mean are heavily influenced by extreme values:
MedianDeviation is the Median of absolute deviations from the Median:
For large uniform datasets, MedianDeviation and MeanDeviation are nearly the same:
MedianDeviation requires real numeric values:
Ratio of MedianDeviation to MeanDeviation for increasing sample size:
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