How can I fit a function onto a histogram?

This creates a histogram that (in my case) looks something like this: enter image description here I want to fit this histogram with a curve. The documentation of RandomVariate shows something similar to what I had in mind: enter image description here (However the blue line isn't actually a fitted curve; the documentation is simply plotting the [known] analytical formula.) How can I fit the histogram? The obvious way is to use Interpolation , but the naive attempt to Interpolation[Histogram[SampleData]] doesn't work; Mathematica complains that the histogram is not a list of data and coordinates. Edit: My raw data contains about 6000 points and looks like this: enter image description here This isn't what I'm trying to fit however; I want to fit the histogram, which looks like this: enter image description here Ideally the defined "NewFunction" would be able to take input such as NewFunction[3] and return about 70. A normalized NewFunction would be even better.