By data I meant, applicant data not enrollment data. I haven't seen schools publish admissions data broken down by gender. I can find the number of male and female applicants for a year but AFAIK they do not publish things like GPA and SAT or other performance measure of applicants broken down by gender. That's the only way to compare these two. I have googled for it and I don't see it. (https://www.google.com/search?q=caltech+SAT+by+gender)

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.