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MeanDeviation

MeanDeviation[list]
gives the mean absolute deviation from the mean of the elements in list.
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  • For the list , the mean deviation is given by , where is the mean of the list.
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Basic Examples   (2)
MeanDeviation of a list:
MeanDeviation of columns of a matrix:
MeanDeviation of a list:
In[1]:=
Click for copyable input
Out[1]=
 
MeanDeviation of columns of a matrix:
In[1]:=
Click for copyable input
Out[1]=
Scope   (3)
Compute results at machine precision:
Obtain results at any precision:
Compute results for a large vector or matrix:
Properties & Relations   (4)
MeanDeviation is the Mean of absolute deviations from the Mean:
MeanDeviation is equivalent to the 1-norm of the deviations divided by the Length:
For large uniform datasets, MeanDeviation and MedianDeviation are nearly the same:
MeanDeviation as a scaled ManhattanDistance from the Mean:
Neat Examples   (1)
Ratio of MeanDeviation to MedianDeviation for increasing sample size:
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