Hello Darrell. Tough question to answer; most realtors cannot really answer this legally- that's why there's been no responses yet. I'm not an expert of Brockton, but I do know that some of it is quite "iffy" whereas a lot of it is much like most other towns or suburbs. This question is always relative - it depends on what you are used to as a resident. Best bet is to talk to the police precincts in town about the crime rate in different neighborhoods or areas.
If I can be of any help, let me know. Thanks and Good Luck,