In 2010, 62,593 blacks were victims of white violence, while 320,082 whites were victims of black violence. (Bureau of Justice Statistics). 2013 FBI homicide numbers show a similar ratio, with blacks being about 12 times more likely to kill a white person than whites were to kill a black person [2] (~10 blacks per 100k population kill a white, while ~1 white per 100k kill a black).
Some studies have shown that crime is correlated primarily with poverty, while other studies have found that being black correlates to criminality while controlling for other factors [4]:
"As a means to assess these possibilities, I estimate separate regression equations for the black and white block groups in Atlanta. [...] Consistent with previous research, percent black retains a strong, significant effect on violent crime net of the effects of other controls. [...]" "[...] Although this finding appears to provide partial support for the racial invariance assumption, the fact remains that for a large proportion of the black neighborhoods, the effect of disadvantage on violence is weaker than is the effect evident among all of the white neighborhoods in the analysis" (However this paper is largely inconclusive on the issue overall, and predominately suggests that previous research into the topic is inadequate to understand it)
Why this is the case is an interesting problem that I hope we can tackle, better understand, and attempt to solve as a society (by solve I mean bring violent crime down to zero generally, across all groups)
[1] FBI crime statistics by race for 2010: https://www.fbi.gov/about-us/cjis/ucr/crime-in-the-u.s/2010/...
[2] FBI homicide statistics by race for 2013: https://www.fbi.gov/about-us/cjis/ucr/crime-in-the-u.s/2013/...
[3] http://blogs.channel4.com/factcheck/factcheck-black-american... has additional details and citations.
[4] http://www.udel.edu/soc/faculty/parker/SOCI836_S08_files/McN...