To go offtopic some, a lot of the glaring stereotypes in this post are gross. Yes, there are obviously physical differences, some cognitive differences too. But also realize that even in studies, just because of the nature of almost all we are able to perform, there are confounding variables, nature vs nurture kinda deal. Meaning that most differences have been extremely exagerated in society and that the more you take environment out of it the more subtle the differences become.

Also with this math science/nurture stuff give me a break. i'll take that some of it is due to natural differences but we aren't apes, we aren't black widows, we have culture. Culture defines who we are and the characteristics associated with us before we are born!

Think, did your dad hope that his strong baby boy would one day grow up to be a great housekeeper or a ballerina or a nurse? or did your mom hope that her soft cute baby girl would grow up and be a star football player? girls get pretty dresses, boys get trucks. girls fall down you kiss it, boys fall down they are told not to cry. you are taught what is girl what is boy, you play 'house' Granted here i'm making gross generalizations here too, but its not to say that this is it point blank, but just to make you think. That boy most likely isnt going to be fostered with the idea that he will succeed best if he becoems a housewife or a nurse, that girl wont be reared in an environment that will foster her becoming a pro footballer.

A study done with blue eyed vs brown eyed children was performed (look it up i forgot the name) and they told the kids that one eye color meant you were smarter than the other (pretend blue is teh one they pick to be smarter) so violence happens at recess, the brown eyed kids tests scores drop etc. meaning you are conditioned to accept what your limits and characteristics are, even if there's some merit to them.

Pure physical, mental, emotional abilities without people stuck in the mindset of these generalizations are exagerated. Just because you find a relationship does not mean you've found causation --- corrolation does not equal causation! and another quote i love is "there are lies, damn lies, and statistics". so look at the way the studies are performed, look at the society around the statistics for lurking variables taht can confound the results.