I thought it would be nice to have a dice mechanic for 5e’s character creation with an output more similar to the point buy system, since the default dice mechanic leads to overall higher stats. This could be a system with the same output range as point buy as well as one that still offers the possibility of rolling very high numbers (16-18) but with a higher probability to roll very low than 4d6 drop lowest.
Do you already know of such a dice mechanic? Or could you maybe provide a source for the probabilities of a stat having a certain number in the point buy system, so as to make it comparable to 4d6 drop lowest? The latter would give a starting point to play around with dice.run in order to create a system as desired.
Hmm, you'd probably have to have access to something like DndBeyond's data to compile such a chart (or use one they compiled). Problem is, there doesn't seem to be anything like that. The only published data visualisations are about races, classes and names.
So I don't think you can just search for it, the only other option I see is gathering that data (if from a smaller sample) yourself, by creating a poll asking for their ability spreads if they used point buy. You could try and advertise it in appropriate communities, and once you feel like your sample size is big enough, you can calculate the percentages.
I wish there was an easier way (and maybe there is and I just didn't look far enough), but from my chair, that's the only option.
Independently from common choices for point distribution, I was thinking more of how often certain stats end up with certain numbers out of all possible combinations how points could be spent.