What's representative of Infinity? The moment it becomes finite, it no longer represents the whole of infinity. Really, really big is not the same as infinite.
I'd say that the infinity discussion is irrelevant, because the Nexus/Multiverse can't even be infinite in game, and as far as we the players are concerned, while the number of conceivable options is extremely large, it is by no means infinite either. We're still talking stupid-big sets of information that I'm not sure any of us can realistically process into meaninful averages, but it's at least possible in theory.
Dave, out of curiosity, how did you arrive at those stats? What was the logic you used to get those numbers? Why 6th level? Or, as Math Teachers always say.... can you show your work, and how you got to that answer?

I noted, of course, that this was worked off of (I believe it was Alf's) note that an average human is still better off than most level 1 Avatars, so I just built a normal person and tried to figure out what level they'd need to be.
Six level was by accident - it's just the first level those point totals work for. But since it's the level at which you gain enough of a foothold to have a Special item, and that's also really the level when you see characters start to resemble their former selves (unless they were really hard to represent in the Nexus or some silly god character), I figure it makes a certain amount of sense.
I tried to think, secondary stat-wise, how most people I know would be able to perform. I should've given number ranges for all of those stats, but didn't feel like running multiple calculations since I was doing it all in my head. Life 20 is a solid number - means that a few cuts or bruises or punches won't kill you right off, but a bullet or two, or a boulder, or a nuclear blast do you in instantly. Pretty average, human-wise, yeah? The other stats, same sort of thing. Then I worked out primary stats that supported them, trying to keep the feeder stats pretty evenly divided, and also keeping an eye to skill pre-reqs - didn't want this theoretical person to qualify for certain skills. It was actually a lot like building Lucas again.

The skills I chose, well, normal people can use any normal item they encounter, just maybe not well. So all the "can't use this Item unless you have this skill" skills go in by default, and then a normal person could easily have a few more of the standard Avatar skills as well, but not TOO many, and nothing beyond stacking tier 1. For the most part.