BUILT-IN MATHEMATICA SYMBOL

Median

Median[list]
gives the median of the elements in list.

Median[dist]
gives the median of the symbolic distribution dist.

MORE INFORMATION

Median[list] gives the center element in the sorted version of list, or the average of the two center elements if list is of even length.

Median gives .

Median works with SparseArray objects.

EXAMPLES

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Basic Examples (3)

Find the middle value in the list:

Average the two middle values:

Median of a symbolic distribution:

Find the middle value in the list:

In[1]:=

Out[1]=

Average the two middle values:

In[1]:=

Out[1]=

Median of a symbolic distribution:

In[1]:=

Out[1]=

Scope (4)

Median works with any real numeric quantities:

Median finds medians of elements in each column:

Obtain results at any precision:

Compute results for a large vector or matrix:

Generalizations & Extensions (1)

Compute results for a SparseArray:

Applications (2)

Obtain a robust estimate of location when outliers are present:

Extreme values have a large influence on the Mean:

Medians of random reals approach a Gaussian distribution:

Theoretical curve:

Properties & Relations (4)

Median is equivalent to a parametrized Quantile:

For nearly symmetric samples, Median and Mean are nearly the same:

The Median of absolute deviations from the Median is MedianDeviation:

MovingMedian is a sequence of medians:

Possible Issues (1)

Median requires numeric values:

SEE ALSO

Mean Commonest TrimmedMean Quantile MedianDeviation Sort Max Ordering Standardize MedianFilter

TUTORIALS

Basic Statistics

Descriptive Statistics

MORE ABOUT

Descriptive Statistics

Discrete & Integer Data

Math & Counting Operations on Lists

Numerical Data

Statistical Data Analysis

Summary of New Features in 7.0

New in 7.0: Data Manipulation

New in 5 | Last modified in 7