There is a lot of media attention about the dangers of living in Mexico, but the majority of people in Mexico don't experience what is broadcasted through the media. Even this news site publishes information about major acts of violence because we cover the news, and in every country when major acts of violence occur, it makes the headlines.
Of course, like in any country, there are areas you should avoid, and precautions you should take when you are out and about. You should always be aware of your surroundings, but the greater part of Mexico . . .