Package org.apache.commons.statistics.descriptive

Class Median

java.lang.Object
org.apache.commons.statistics.descriptive.Median
public final class Median extends Object
Returns the median of the available values.

For values of length n, let k = n / 2:

  • The result is NaN if n = 0.
  • The result is values[k] if n is odd.
  • The result is (values[k - 1] + values[k]) / 2 if n is even.

This implementation respects the ordering imposed by Double.compare(double, double) for NaN values. If a NaN occurs in the selected positions in the fully sorted values then the result is NaN.

The NaNPolicy can be used to change the behaviour on NaN values.

Instances of this class are immutable and thread-safe.

Since:
1.1
See Also:

  • Method Details

    • withDefaults

      public static Median withDefaults()
      Return a new instance with the default options.

      Note: The default options configure for processing in-place and including NaN values in the data. This is the most efficient mode and has the smallest memory consumption.

      Returns:
      the median implementation
      See Also:

    • withCopy

      public Median withCopy(boolean v)
      Return an instance with the configured copy behaviour. If false then the input array will be modified by the call to evaluate the median; otherwise the computation uses a copy of the data.
      Parameters:
      v - Value.
      Returns:
      an instance

    • with

      public Median with(NaNPolicy v)
      Return an instance with the configured NaNPolicy.

      Note: This implementation respects the ordering imposed by Double.compare(double, double) for NaN values: NaN is considered greater than all other values, and all NaN values are equal. The NaNPolicy changes the computation of the statistic in the presence of NaN values.

      • NaNPolicy.INCLUDE: NaN values are moved to the end of the data; the size of the data includes the NaN values and the median will be NaN if any value used for median interpolation is NaN.
      • NaNPolicy.EXCLUDE: NaN values are moved to the end of the data; the size of the data excludes the NaN values and the median will never be NaN for non-zero size. If all data are NaN then the size is zero and the result is NaN.
      • NaNPolicy.ERROR: An exception is raised if the data contains NaN values.

      Note that the result is identical for all policies if no NaN values are present.

      Parameters:
      v - Value.
      Returns:
      an instance

    • evaluate

      public double evaluate(double[] values)
      Evaluate the median.

      Note: This method may partially sort the input values if not configured to copy the input data.

      Parameters:
      values - Values.
      Returns:
      the median
      Throws:
      IllegalArgumentException - if the values contain NaN and the configuration is NaNPolicy.ERROR
      See Also:

    • evaluateRange

      public double evaluateRange(double[] values, int from, int to)
      Evaluate the median of the specified range.

      Note: This method may partially sort the input values if not configured to copy the input data.

      Parameters:
      values - Values.
      from - Inclusive start of the range.
      to - Exclusive end of the range.
      Returns:
      the median
      Throws:
      IllegalArgumentException - if the values contain NaN and the configuration is NaNPolicy.ERROR
      IndexOutOfBoundsException - if the sub-range is out of bounds
      Since:
      1.2
      See Also:

    • evaluate

      public double evaluate(int[] values)
      Evaluate the median.

      Note: This method may partially sort the input values if not configured to copy the input data.

      Parameters:
      values - Values.
      Returns:
      the median

    • evaluateRange

      public double evaluateRange(int[] values, int from, int to)
      Evaluate the median of the specified range.

      Note: This method may partially sort the input values if not configured to copy the input data.

      Parameters:
      values - Values.
      from - Inclusive start of the range.
      to - Exclusive end of the range.
      Returns:
      the median
      Throws:
      IndexOutOfBoundsException - if the sub-range is out of bounds
      Since:
      1.2