Intriguingly, ADHD is correlated with crime as well. Some studies would estimate that it's 4-10x (or more) as prevalent in prison populations as in the general population.[1][2]
We could conclude that a lot of people are self-medicating without realizing it.
There's also a significant reduction in crime rate and drug use in people with adhd that are being properly treated. I'll let interested parties do their own research.