Geometric

Calculates the geometric mean of a given population.

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Interface
Geometric
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Interface

C++

Geometric

template<class T> doublegeometric(	int	`n`
	T*	`data`	)

The geometric mean of a sequence

is defined by:

$G=\sqrt[N]{\prod_{i=1}^N x_i}$

(1)

Thus,

$G(x_1,x_2)=\sqrt{x_1x_2}$

(2)

$G(x_1,x_2,x_3)=\sqrt[3]{x_1x_2x_3}$

(3)

and so on. For

, the geometric mean is related to the arithmetic mean and harmonic mean by

$G=\sqrt{AH}$

(4)

where:

A = arithmetic mean and
H = harmonic mean]

Example 1

#include <codecogs/statistics/moments/geometric.h>
#include <iostream>
#include<math.h>
int main() 
{
  int x[5] = {4 , 6 , 1 , 3 , 7};
  double geom = Stats::Moments::geometric(5, x);
  std::cout << "The population mean is: " << geom << std::endl;
  return 0;
}

Output:

The population mean is: 3.47125

Parameters

n	the size of the population
data	the actual population data given as an array

Returns

return value the geometric mean of the given population

Authors

Anca Filibiu (August 2005)

Source Code

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