# Mathematical indicator for the flatness of a curve

I am currently working on a computer science project where I have to evaluate charts. The charts are simple lines in a $x$ - $y$ coordinate-system, given by CSV files. The flatter the curve, the better for me. Now I am looking for an indicator for the "flatness" of this curves.

My first idea was to calculate the first derivative of the function and then calculate the average between two points. If this value is near $0$, then the function is pretty flat.

Is that a good idea? Is there any better solution?

-
How about curvature? –  Guess who it is. Sep 16 '11 at 16:31
> "The charts are simple lines in a x - y coordinate-system".... are those charts lines or curves? If lines, then slope is simple to compute. –  user2468 Mar 8 '12 at 18:11