You misunderstand. The incarceration rates on themselves would mean very little, as it could be argued that men become more violent because of the way they're nurtured. BUT:
a) The 5-1 difference in aggressive behavior observed in male and female babies is roughly reflected on the incarceration rate for violent crimes;
b) The gender ratio of people incarcerated for violent crimes has not changed over the 20th Century, even as the approach to raising boys and girls, and indeed women's rights, changed dramatically.
All of that strongly indicate that men are biologically more violent than women. We know that men are more violent, this is an observable fact. What is (or rather was, as this debate has been settled) up for debate was the causes of this discrepancy.
As for your question about my personal experience... well, they broadly reflect that which nearly everyone will tell you is the case, even rabid feminists. The men I know are more competitive, physically aggressive, assertive, etc, while the women tend to be more caring, anxious, "socially aggressive" (that is, more prone to trying to ostracize people they dislike and talking ill about others), etc.