These statistics you're referring to, how comparable are the relative differences? Do they show that men are 4 times more violent than women and black people are 1.1 more violent than white people, for example? What are these figures?
That's a fair question. According to FBI homicide statistics for 2018 [1] and US demographics [2], the Black homicide rate per 100k is 7.9, while the White+Hispanic rate [3] is 1.2. The female (of all races) homicide rate is 0.42.
So the Black homicide rate is 6.7x higher than the White+Hispanic rate, while the White+Hispanic homicide rate is 2.8x higher than the female (all races) rate.
Edit: A different source [4] gives different figures, but these are "age adjusted": 20.9 for non-Hispanic Blacks, and 2.6 for non-Hispanic Whites.
[3] The FBI counts Hispanics as White, and has a separate 'Ethnicity' category where they mark Hispanic or Latino. Assuming all Hispanics in that table were counted as White yields an even lower White homicide rate.
Presumably prison/jail population statistics - there are certainly more males imprisoned for violent crimes than women, it's like a 10:1 ratio.
Of course, the likes of Brock Turner and Prince Andrew demonstrate that some demographic groups are relatively less punished or relatively more able to avoid punishment, so the prison population surely doesn't directly measure inherent tendencies.
I'm not an expert in this area at all but my understanding is that the differences are not all like 4X more violent but due to the nature of distributions, a small difference in the median of a distribution can lead to an enormous difference in the tails of the distribution.
