Oh, I'm sorry. I didn't actually think through what calculation was right, merely that you stand a fair chance of getting a finite answer. I think, I meant average amongst those, or "apply to those a process producing an average", rather than "MWAHAHAHAHAH I AM AN AVERAGING MONKEY GIVE ME ANY NUMBERS AND I'LL ADD THEM UP AND DIVIDE BY N HAHAHA".

I think *why* I forgot was probably being a mathematician, not a statistician and instinctively solving the case where there's an effectively infinite number, so the special case at the end is insignificant.