There is plenty of research showing women and men do actually behave differently on average. One of the more interesting is when it comes to there jobs women are more rational as in they chose jobs that better fit their goals. Another is you find more men at the extremes both high and low height, weight, IQ etc. As in there standard deviation is generally higher which is just as often a good thing as a bad thing.

Note: Averages and standard deviations say nothing about individuals but they do explain trends.