I was a hyperactive kid and a bipolar adult. I was unmedicated as a child but was, for a time, heavily medicated as adult. With exercise and diet, I was able to get completely off meds.
I haven't been on a murder spree. Don't you think your comment might be a rather poor generalization.
Very few do. But when they do, break out the where-were-the-parents-why-wasn't-the-kid-getting-help crowd.
If the phrase "murder spree" upsets you, then substitute assault, truancy, delinquency, or any other juvenile crime that grabs the headlines.