I recognize the hurry to get a comment in, but an appeal to ignorance instead of googling it and using what you find to shape your opinion really sells yourself short, and diminishes the discussion to follow.
AFAIK schools don't generally publish detailed statistics of applicants like that. They do publish enrolled student data. So is it possible that women outperformed men at Caltech? Yes. Is that more likely that what I implied? No, I think using the average SAT scores by gender, it's more likely men outperformed women at Caltech. But there is a degree of uncertainty.
Also I think you are making assumptions about what my motives were and why I posted. Guidelines:
Please respond to the strongest plausible interpretation of what someone says, not a weaker one that's easier to criticize. Assume good faith.
The real figure of merit in this discussion is simply the thickness of both piles.
With regard to the rest, I interpreted what you wrote differently than how you meant it, I appreciate the explanation, and I apologize for the confusion.
actually that's a very fair point and you're right. We do know how many are in each pile. thanks and sorry for the confusion.