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Skewness

Calculates the skewness of a given set of data.
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C++

Skewness

 template doubleskewness( int n T* data )
Skewness is a measure of symmetry, or more precisely, the lack of symmetry. A distribution, or data set, is symmetric if it looks the same to the left and right of the center point. For univariate data , the formula for skewness is:

where  is the aritmetic mean,  is the standard deviation, and N is the number of data points.

The skewness for a normal distribution is zero, and any symmetric data should have a skewness near zero. Negative values for the skewness indicate data that are skewed left and positive values for the skewness indicate data that are skewed right.

Example 1

#include <codecogs/statistics/moments/skewness.h>
#include <iostream>
int main()
{
float x[5] = {3.4 , 7.1 , 1.5 , 8.6 , 4.9};
double skew = Stats::Moments::skewness<float>(5, x);
std::cout << "The population skewness is: " << skew << std::endl;
return 0;
}
Output:
The population skewness is:-0.0107687

Parameters

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

Returns

the skewness of the given set of data

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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