MedianDeviation

MedianDeviation[list]

gives the median absolute deviation from the median of the elements in list.

Details

  • MedianDeviation is a robust measure of dispersion.
  • For the list {x1,x2,,xn}, the median deviation is given by the median of the list {x1 ,,xn }, where is the median of the list.
  • MedianDeviation[{{x1,y1,},{x2,y2,},}] gives {MedianDeviation[{x1,x2,}],MedianDeviation[{y1,y2,}],}.

Examples

open allclose all

Basic Examples  (2)

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]=

Scope  (8)

Generalizations & Extensions  (1)

Applications  (4)

Properties & Relations  (2)

Possible Issues  (1)

Neat Examples  (1)

See Also

Median  QuartileDeviation  MeanDeviation  StandardDeviation  Variance  TrimmedVariance  WinsorizedVariance  BiweightMidvariance  QnDispersion  SnDispersion

Tutorials

Introduced in 2007
(6.0)