Given some combination of mean/mode/median, how would I go about generating a distribution that can fit an arbitrary combination?
For cases where mean = mode = median, I would just use a normal distribution. How could I generate a distribution with, say,
mean=3.0, mode=4.0, and median=5.0?
I've searched around and couldn't find an answer for this, which suggests maybe it's a silly question. Apologies if that's the case
Edit: I'm looking to create a visualization that plots a distribution that reacts as you change the mean/mode/median with sliders. Partially for teaching purposes and partially as a programming exercise, I just want to make something I can show students to demonstrate why it's important to have those numbers.
Are there distributions with parameters that are easy to set up some optimization algorithm for, to hit a target mean/median/mode?