I've got theories but I think it really says something that while mutual violence is most common in DV cases (and for some goshdarn reason it doesn't really matter who hit first or hardest, the man is most likely going to jail), for unidirectional violence (clear aggressor, passive victim) women dominate at 70 percent of aggressors in such cases. Women are also more likely to use force multipliers towards this end - you know, WEAPONS.And for the remarks about violent men, don't forget that the relationtype to mostly likely involve domestic abuse is first lesbian relationships, then heterosexual relationships and last gay relationships. You might want to ask yourself why as you ponder the differences and similarities between men and women.
Women also dominate child abuse statistics, with the sole exception of sexual abuse (and they're no slouches there). So, as it turns out, women are actually perfectly capable of being violent monsters, just like men, and yet there's no massive social campaign to tell women in particular "Never hit your husband with a vase" or "Don't beat your kid with a baseball bat".