TBH a lot is dependent on the lab you're in - if they publish a lot, it's much, much easier to get more pubs. If they don't, it's often not realistic to start a super productive line of work on your own, as you don't have the shared resources (e.g., clinical recruiting). After establishing a good relationship with your POI, if another lab is more productive might start a collaboration (could make both faculty authors on an article as a concession), or even move to the more productive lab altogether if appropriate.
The school average probably also shows a lot of variability - I bet there's a lot with 0-1, then a few people with more.
Personally, I'd say look at the CVs of postdocs/new faculty at places where you want to be, and decide based on what they look like. And regardless, connect with really productive groups, it's much easier to hit targets this way.