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Calculates the arithmetic mean of a given population
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template<class T> doublemeanintn
T*data )
The arithmetic mean of a set of values is the quantity commonly called the mean or the average. Given a set of samples \{x_i\} the arithmetic mean is

The arithmetic mean is the special case M_1 of the power mean and is one of the Pythagorean means. When viewed as an estimator for the mean of the underlying distribution (known as the population mean), the arithmetic mean of a sample is called the sample mean. The arithmetic mean satisfies :

where x and y are independent statistics. The sample mean which is the mean estimated from a statistical sample, is an unbiased estimator for the population mean.

Example 1

#include <codecogs/statistics/moments/mean.h>
#include <iostream>
int main() 
  int x[5] = {3 , 5 , 8 , 5 , 2};
  double avg = Stats::Moments::mean(5, x);
  std::cout << "The population mean is: " << avg << std::endl;
  return 0;
The population mean is: 4.6


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


the arithmetic mean of the given population


Anca Filibiu (August 2005)
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