The physical anatomy structure is, of course, different from man and woman. Men tend to be physically grown, tougher as men's bodies tend to develop more testosterone than women, in vast amounts. Speaking of mentality, women tend to be more emotionless and harder to control than men. The biological argument goes to men, as we are better in physical activities in general. There are women who are also physically capable as much as men, but you rarely get numbers of women like that, unless they used medical pills (steroids) to increase their physique.
When it comes to society, men and women are more or less equal. We are equally educated, can work as much, and are able to contribute equal influences on society. I'm speaking in the modern of course. If we go back hundreds of years, men had more influence on society, as most scientists and inventors were men: Isaac Newton, Albert Einstein, Nikola Tesla, etc. During the old days, women did not have much rights as men did; and this includes education as well. If women had equal rights to men during those days, it's guaranteed they would be as good as men in science.
When it comes to religion, some may argue that religion gives women less rights than men, and this thinking is irrational as some scripts are taken out of context. In the Judgement Day, God will judge man and woman equally.
So, I don't believe in *** superiority; we are all equally capable aside biological activities.