# Algorithm: Statistics functions

## Functions

template<typename InputIterator >
std::iterator_traits
< InputIterator >::value_type
computeMinimum (InputIterator beginning, InputIterator end)
Compute the minimum value for the elements in the range.
template<typename InputIterator >
std::iterator_traits
< InputIterator >::value_type
computeMaximum (InputIterator beginning, InputIterator end)
Compute the maximum value for the elements in the range.
template<typename InputIterator , typename T >
void computeMinimumAndMaximum (InputIterator beginning, InputIterator end, T *minimum, T *maximum)
Compute the minimum and maximum values for the elements in the range.
template<typename InputIterator >
std::iterator_traits
< InputIterator >::value_type
computeMean (InputIterator beginning, InputIterator end)
Compute the mean value for the elements in the range.
template<typename InputIterator , typename T >
void computeMinimumMaximumAndMean (InputIterator beginning, InputIterator end, T *minimum, T *maximum, T *mean)
Compute the minimum, maximum, and mean for the elements in the range.
template<typename ForwardIterator , typename T >
void computeMeanAndVariance (ForwardIterator beginning, ForwardIterator end, T *mean, T *variance)
Compute the mean and variance for the elements in the range.
template<typename ForwardIterator >
std::iterator_traits
< ForwardIterator >
::value_type
computeVariance (ForwardIterator beginning, ForwardIterator end)
Compute the variance for the elements in the range.
template<typename ForwardIterator , typename T >
void computeMeanAbsoluteDeviationVarianceSkewAndCurtosis (ForwardIterator beginning, ForwardIterator end, T *mean, T *absoluteDeviation, T *variance, T *skew, T *curtosis)
Compute the mean, absolute deviation, variance, skew and curtosis for the elements in the range.

## Function Documentation

template<typename ForwardIterator , typename T >
 void computeMeanAbsoluteDeviationVarianceSkewAndCurtosis ( ForwardIterator beginning, ForwardIterator end, T * mean, T * absoluteDeviation, T * variance, T * skew, T * curtosis )  [inline]

Compute the mean, absolute deviation, variance, skew and curtosis for the elements in the range.

To compute the variance, I use the corrected two-pass algorithm presented in "Numerical Recipes." Note that with exact arithmetic, the second sum is zero. With finite precision arithmetic, the term reduces the round-off error. The mean absolute deviation, skew, and curtosis are defined below.   Note that the skew and curtosis are not defined when the variance is zero. in this case, the function prints a warning.

template<typename ForwardIterator , typename T >
 void computeMeanAndVariance ( ForwardIterator beginning, ForwardIterator end, T * mean, T * variance )  [inline]

Compute the mean and variance for the elements in the range.

To compute the variance, I use the corrected two-pass algorithm presented in "Numerical Recipes." Note that with exact arithmetic, the second sum is zero. With finite precision arithmetic, the term reduces the round-off error. CONTINUE.

Referenced by computeVariance().

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