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Harmonic

Calculates the harmonic mean of a given population.
Controller: CodeCogs

Interface

C++

Harmonic

 
template<class T> doubleharmonicintn
T*data )
The harmonic mean of N numbers \inline x_i (where, \inline i=1,2...,N) is defined by

The special cases of \inline N=2 and \inline N=3 are therefore given by

and so on.

For \inline N=2, the harmonic mean is related to the arithmetic mean, A, and the geometric mean, G, by

The harmonic mean is the special case \inline M_{-1} of the power mean and is one of the Pythagorean means.

Example 1

#include <codecogs/statistics/moments/harmonic.h>
#include <iostream>
int main()
{
  double x[4] = {3.5 , 6.5  , 5.9 , 8.8};
  double harm = Stats::Moments::harmonic<double>(4, x);
  std::cout << "The population harmonic mean is: " << harm << std::endl;
  return 0;
}
Output:
The population harmonic mean is:5.53489

Parameters

nthe size of the population
datathe actual population data given as an array

Returns

the harmonic mean of a given population

Authors

Anca Filibiu (August 2005)
Source Code

Source code is available when you agree to a GP Licence or buy a Commercial Licence.

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Last Modified: 22 Dec 11 @ 01:04     Page Rendered: 2022-03-14 17:36:43