A dictionary defines distinction:
excellence that sets someone or something apart from others
In just the past few days, I have read of two that have been bestowed upon New Hampshire. One is that it is the safest state in the country. This is based on crime rates in the worst crime categories. The second is that New Hampshire has the highest per capita consumption of alcohol in the country: 4.03 gallons a year. The closest to it is Washington, D.C. at 3.84.