Are men really biologically more aggressive then women or is this nothing more then a social construct?

More men are convicted of rape then women. More men seem to be pedophiles then women. Men are convicted of more violent crimes then women. Men seem to be the initiators when it comes to dating or starting relationships. In general it also seems men are more involved in more aggressive activities such as boxing, wrestling, football, hunting, etc then women.

I realize there are exceptions to the above but looking at the wider picture here is this all because of gender constructs resulting from parenting, media, TV, movies, magazines, websites and other factors or are men and women really biologically programmed to behave differently? Is it a combination of both? Are individual personalities a factor here as well?