Individuals VS Spots

[fromeurope]

Anybody has a sense of system-wide total unique applicants VS number of funded spots?

Pulling some numbers out of thin air for the "top 20" (simply because I have at least some sort of sense about the numbers here):

avg apps per school: ~400 [they seem to range between 300-700+ -- the avg should possibly be higher]

avg spots per school: ~10 [i guess?]

avg apps within the top 20 per individual: ~5 [some people throw in a couple, others apply only within the top 20 range -- 5 seems a fair enough number]

This would mean, if my math is correct (below the 50th percentile on the GRE quant...) that, in terms of individuals who apply, approximately 10% get in within the top 20 "system". Obviously, the situation is a lot more complex than this -- the top 20 isn't self-contained, geographical considerations... and not to mention the high degree of uncertainty of my estimates.

The math:

400*20=8000 apps

8000/5=1600 individuals

200/1600=0,125 or 12,5% admits in terms of individuals

Yes... much simplified, but I was curious to get some sense of the scale of this thing. But, hmmm, I'm not sure. 10% seems too high. Anyone have any real data on this?