# Given a function, how do you find the average?

##### 2 Answers

If you have two numbers

If you have three numbers

If you have a finite sequence of numbers:

If you have a finite set

the average value of

If instead of a finite set you have a measurable set

Given the topic "Graphs of Linear Equations and Functions > Slope" you may be wondering how to calculate the "average slope" of a function between two points.

If you are given points

It doesn't matter how much the curve wiggles in between - essentially we are dealing with the integral of the derivative of

The average slope is:

which simplifies to