Of course the statistical properties of groups don't tell you anything about the qualities of a given individual. Men are on average taller then women, but I'm male, and only 5'6" while one of my previous girlfriend was 5'10". I make my living in a mathematical field, and I work with plenty of women who are much better at math then me. The question is, when we see large group disparities between genders is it nature, nurture, or some combination of the two?
I did an undergrad degree in physics back in the early 1970s. At that time the number of women in upper-division math and physics classes was about 1/30th the number of men. I heard many folks explain this as a natural result of the innate differences between genders. I also heard several professors explicitly discourage women from taking upper division math and physics because it was not a "suitable" field for women.
In 2003 I went back to school to do an MS in Applied Math. I was surprised to see that women now made up between 1/5th and 1/3rd of the upper division and graduate classes. Furthermore, the women in the classes didn't seem to have any more trouble with the material then I did. I'm perfectly open to the idea that the distribution of talents in the two genders is influenced by neuro-development and anatomy, but human neuro-development and anatomy didn't change much between 1974 and 2003, which makes me think that the folks who ascribed the gender ratios in circa 1974 math classes entirely to intrinsic differences were full of shit.