Compared to the other cities in Massachusetts and cities in all other U.S. states, how safe is Norwood, MA? From the gauges displayed above, you will notice that Norwood, MA has been ranked safer than 78% of other cities in the state of Massachusetts. In addition, Norwood, MA is safer than 81% of cities in the entire United States. To achieve these results, all Massachusetts and United States cities were analyzed to determine how many locations had a lower crime rate than Norwood, MA. By studying this data, it was possible to determine that Norwood, MA is above average in safety when compared with other United States cities.