Thanks. The problem is that I don’t want the integral to sum to 1. I want the bar heights to sum to one. If the bars lie on things other than the [0,1] interval, the two things will not be the same. See my earlier comments about the options offered in Mathematica. What I basically want is for someone to look at the height of a bar and say, “Oh, I see that 37% of the entities in that group had x-values around whatever.” As it stands, in Plots, when normalize = false, you get an absolute count. That’s fine sometimes, but other times, particularly when you have grouped data, you want a fraction rather than an absolute count. And in Plots, when normalize=true, it looks like you get a bar height such that the integral of the bars is equal to 1, which will not help the person who wants to know what percentage of the entities in a particular group had some x-value.
I’m going to try to some PNGs from a Mathematica notebook that tries to explain the issue better.
!