I have created a histogram of velocities for thousands of moving objects. I have bin sizes of 1 based on object weight. So bins 1-20, for weight 1gram to 20 grams. So that's the "x-axis".
The y-axis, or height of the bins is based on averages of velocities for these objects. I take all the 1 gram objects and find their average velocity, and that is the height of the 1 gram bin. Then the same for all the 2 gram bin, find their average velocity and plot that as the bin height.
My question is, how can I find if there is a significance between the bins. First of all, finding significance between 20 bins is a LOT of comparisons, is there an easy way to do that?
But even if I can just compare 2 or 3 at a time that would be useful. So I can say the 1 gram objects have a significantly different velocity than the 2 gram objects.