[Symmetry]

The scientific consensus is that while men and women might have different distributions of personality traits, their mental abilities are more or less identical. Seriously, the difference in math test scores between male and female students in different countries tracks sexual discrimination so well you could almost use it as a diagnostic.

[yummyfajitas]

...their mental abilities are more or less identical.

No. The evidence suggests that Larry Summers was right, namely that men have a higher variance than women, though means are close to equal.

http://www.sciencemag.org/content/321/5888/494.summary

http://www.jstor.org/pss/2889145

http://www.ncbi.nlm.nih.gov/pubmed/21038941

Seriously, the difference in math test scores between male and female students in different countries tracks sexual discrimination...

Yes - the more gender equity you have, the better boys do relative to girls. (The scores of both genders improve with gender equity, but boy's scores improve more.)

http://www.ams.org/notices/201201/rtx120100010p.pdf

This document also shows that the greater male variance is mostly invariant across cultures.