https://ucr.fbi.gov/crime-in-the-u.s/2014/crime-in-the-u.s.-...
These statistics don't involve a trial or conviction. It's based entirely on the police report when the crime was reported and only includes the race of the offender when that information is known.
"Perusal of Table 4 reveals that suspects were an average age of 36, with whites somewhat older than blacks. Thirty-nine percent of the suspects were involved in a violent crime, 17% in a property crime, and 5% in a drug crime. Hispanics were less likely to be involved in a violent crime, while blacks were more likely to be involved in a property crime than whites or Hispanics. Blacks are least likely to be armed."
One anecdote about the weed thing, since that comes up so often--I live in Chicago and apart from festivals, I never see white people strolling around downtown smoking weed, but I do see this probably once a month, and the user is consistently black. The white people I know who use marijuana do so at home and out of public view. This is just an anecdote, but cultural differences in usage could better explain the arrest discrepancy than police racism. At least I would like to discontinue the trend of assuming that every gap is necessarily and automatically attributable to discrimination.
[1]: https://www.researchgate.net/publication/256079484_No_eviden...
https://www.washingtonpost.com/news/wonk/wp/2016/07/08/the-b...
Studies have also shown that disproportionate police shooting fatality rates among men when adjusted for population (50% of the population are men but 96% of those shot by police are men).
Violent crime rates are the more useful base rate than the general population. This is the best study I've seen to date that attempts to take into account rates of violent crime: https://www.nber.org/papers/w22399
Have you adjusted for crime rates?