> This is has no bearing on the issue. Yes, two individuals are probably measurably more different than the average woman vs the average man, but the qualities of the individual tend to balance out to a middle point in the larger picture.

If the average difference between all men and all women on Skill X is 3%, and the average difference between any two given individuals is 30%, then even though there are two distinct loci, gender is still an extremely weak indicator. Sure, it shows up on statistical charts, but for that to be a meaningful "larger picture" means it should be able to inform our actions as a society. But the huge intra-group variation means that any action we do take based on this data is necessarily unfair to a large number of individuals.

> (p.s. the data says you're wrong.)

Please, I love to see it. I would have researched it myself except didn't have time to dig around right now and a quick Google search turns up nothing on the subject.