This is documentation for Mathematica 8, which was
based on an earlier version of the Wolfram Language.
View current documentation (Version 11.1)

MeanDeviation

MeanDeviation[list]
gives the mean absolute deviation from the mean of the elements in list.
  • For the list , the mean deviation is given by , where is the mean of the list.
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]=
Compute results at machine precision:
Obtain results at any precision:
Compute results for a large vector or matrix:
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:
Ratio of MeanDeviation to MedianDeviation for increasing sample size:
New in 6