I was wondering if there are time-efficient algorithms that can reverse the process of basic statistics computation. What I mean is an algorithm that instead of computing the mean, SD, max-min range, median... based on input values, would do the inverse operation, i.e generating a set of data with the required/wanted statistical results. What seems the most optimal way to solve such problems ? Thought about genetical algorithms, but maybe are there better ways.
If you want to know why I'm searching to do this : I'm a student in sport science field and my project is about generating an AI that would detect when people fake their data to proove their point. I want to know what would be the best algorithms to fake such results, so maybe I could detect people already doing that. Thanks !