I think the most honest way to put it is that of the lower priced, not so nice areas, Everett is one of the safer ones. So it depends what you are comparing it to. Compare it to Dorchester or Chelsea it is very safe. Compare it to Brookline or Newton and it's very dangerous. But of the town that have lower priced housing available it's not as bad as others, but as others pointed out, it lacks many of the amenities some count on.
I remember a friend, who has since moved lol, choose Everett because comparing it to all the areas she could afford at the time, it had the lowest major crimes (murder, rape, attacks). But it did have a fairly high amount of theft and those types of crime so she was always cautious, addeded extra locks etc. She stayed there, saved up and moved to a nicer burb. It's just not a very pretty town to come home to, and it lacks the nice shopping center etc she wanted. If you have more time you might want to check out some local towns that have a little more curb appeal and equal safety.
Bottom line, for an area in it's socioeconomic bracket, coupled with overall town appeal, it's one of the safer ones.