# PowerMean

standard mode | Statistics category

## Inputs

• array (vector_real) - the input array (must contain only positive real numbers)

## Outputs

• powerMean (real) - the power mean of the input array

## Parameters

• power (real ∈ (-∞, ∞), default = 1) :
the power to which to elevate each element before taking the mean

## Description

This algorithm computes the power mean of an array. It accepts one parameter, p, which is the power (or order or degree) of the Power Mean. Note that if p=-1, the Power Mean is equal to the Harmonic Mean, if p=0, the Power Mean is equal to the Geometric Mean, if p=1, the Power Mean is equal to the Arithmetic Mean, if p=2, the Power Mean is equal to the Root Mean Square.

Exceptions are thrown if input array either is empty or it contains non positive numbers.

References:
 Power Mean -- from Wolfram MathWorld, http://mathworld.wolfram.com/PowerMean.html  Generalized mean - Wikipedia, the free encyclopedia, https://en.wikipedia.org/wiki/Generalized_mean