Although many jobs requiring education pay well, some do not. I think it has more to do with the fact that education costs a lot of money. In order to have money, you at least need a job. Most violent crimes are not commited by the criminally insane but by rational people who have decided to profit by exploiting others. Poverty is the first step to violent crime. Being poor doesn't make people criminal, a culture of despair does. When people believe that they can't get an ordinary job, or that they can't do what they want to do in life with an ordinary job, or that crime is a glamorous and respectable lifestyle, then they will turn to crime. Another reason why violent crime tends to be commited by the most desperate people is that crimes which tend to become violent like mugging, burglary, and hold-ups are very dangerous and often offer little reward. People living in violent areas are also more often inclined to join violent gangs for their own protection.
Does education itself make people less inclined to commit crime? In as much as it can help people get better jobs yes, but then again that would be better jobs making people less inclined to commit crime. Comparing people who were youths between 1920-1945 and those who were youths between 1960-1980, I would say the massive increase in education clearly did not in itself stop crime. In the earlier generation half of young men did not have a high-school education, in the later one the great majority did, but having little education did not make half of the older generation criminal, and having a decent education did not eliminate crime in the younger generation. I think the big factor in reducing crime in the last 30 years in America has been great economic advances.
So, does being educated make someone less likely to commit crime? Yes and no!