You're mistaken on both counts, even though your top-level point is essentially correct.
On the first count, you're mistaken because there's no reason to assume that the distribution is symmetric. This doesn't damage your point, but as klodoph says, your actual example numbers are not necessarily representative. You'll note that this minor mistake in your comment has attracted a legion of minor corrections, all of them correct, all of them missing (or at least ignoring) your most-important point.
On the second count, that's like saying that math is the foundation of computing, and so the two are indistinguishable. klodolph is correct that the two are different, and it doesn't affect your point at all, so you should acknowledge the minor correction and stick to the relevant point.
More generally, did you notice that your top-level comment was basically saying "Warren Buffet is wrong about this aspect of investing"? You could be right, but it's not likely. I believe the reason for this mistake is that you may have have misread this sample of Buffet's thinking (and your overall claims as I understand them may actually agree with and Buffet as I understand him).
(In my humble understanding) Buffet claims that there may or may not exist investors who have superior (or inferior) skill, but that in MOST cases the results are due to luck, and "skilled" investors are mostly indistinguishable from lucky investors. Although I have not seen you agree or disagree with this claim, I note that all of your arguments are consistent with this. Your arguments revolve around being unable to determine which are which, after the fact; so do Buffet's! I further note that it seems ludicrous to claim that there do not exist anti-skilled investors, and thus all other investors will be more skilled than the mean skill level, and that this probably won't matter, because luck will drown it all out.
My overall points here are:
* I agree with your high-level claims (as I understand them) about money-managers
* I believe Warren Buffet, in this letter to Katherine Graham, agrees with
your high-level claims
* nearly every commenter in these threads agrees with your high-level claims
* the comment by wheaties is a counter-example
* some of the minor details of your points are technically wrong or confusing,
in ways that invite nit-picking, but do not impact your actual argument
On the other hand, starting on page 15 (of 19), Buffet suggests (and advocates) an alternative (his #5) that is NOT fully respectful of the efficient market hypothesis. So your position is not Buffet's entire position (though I see from your Equities Myths page that you have noticed this, and you suggest that perhaps Buffet is nothing except lucky).