# Average of power curve functions

by Labyrinth
Tags: average, curve, functions, power
 P: 14 I have a program that generates a bunch of power curve functions and would like to know what the 'average' function between all of them would be. Here is my data set so far: 4.638013x^0.076682586 4.834884x^0.034875062 4.0432342x^0.13476002 3.8535004x^0.12178477 How do I do this, and what is the average function for this particular set? Thank you for your time.
 Emeritus Sci Advisor HW Helper Thanks PF Gold P: 6,557 It depends on what you mean by 'average'.
 P: 14 I think the mean would be ideal. I'm looking at it from a graph standpoint, where I want to find one curve that best represents them all.
 Mentor P: 21,313 Average of power curve functions I would lean toward taking the average of the four coefficients (the numbers in front of the power functions), and the average of the four exponents. That would certainly give you a function whose graph would be somewhere in the middle of the other four.
 P: 14 Is it really that simple? I guess I had delusions of complexity. Anyways thanks for your help.