I don’t think anyone is disputing that there are observed differences in IQ distribution. The question is to what extent they are the innate products of evolutionary development, and to what extent they are related to current and more recent historical circumstances.
To (stereotypically, I fear) bring it down to an even less scientific level, we’re dealing with something of a chicken and egg problem. Do certain groups gravitate to certain fields because they are measurably better in them, or are they measurably better in them because they have been disproportionately encouraged to pursue them?
I have no experience with math competitions, so I’ll defer to others on that, but I do have some experience with competitive trivia, which is heavily male-dominated in pretty much any setting you can imagine, from high school and college quiz bowl to pub trivia.
There are two obvious biological conclusions that could be drawn from this:
- Men are naturally better at retaining large numbers of facts on a variety of topics than women, even if women might be better in certain tasks that require synthesis of facts.
-Because of testosterone, men are more aggressive. This correlates to speed (which is a large factor in many trivia contests), willingness to venture a guess when one isn’t certain, and perhaps even the desire to engage in competitive trivia in the first place.
I’m not going to condemn people from considering those possibilities (I’m also not someone who thinks Larry Summers should have been fired). However, there’s also non-biological explanations for the same results:
- Men have traditionally been socialized to be more aggressive than women, which correlates with speed, willingness to guess, and desire to engage in competitive trivia. This creates a field likely to skew male.
- The effects of the above are then compounded because questions likely to have been disproportionately written by men might disproportionately favor questions that lean toward stereotypically male than stereotypically female interests (i.e, more questions on science and sports than literature and art --this of course leads to the question of why some interests are coded to one gender or another, but we'll leave that aside for now). Even a writer who worked hard to avoid such disparities in terms of number of questions might find it difficult to write equivalent kinds of questions for a field that he knew a lot about and a field that he didn't.
- Women tend to select against or drop out of trivia as an activity because it is predominantly male.
Given that, it strikes me as arrogant to assert that the science on such disparities is settled. And just intuitively, there’s a lot more basis for thinking there might be inherent differences in intelligence between men and women (who do display significant biological and hormonal differences that could, in theory, correlate to other kinds of difference) than that there might be inherent differences between races.
In either case, after centuries of disparate treatment and socialization, good luck on separating out the biological from the social and cultural.