So does that mean that the levels of violent crime in areas where there are lots of guns is lower than in areas where there are less guns ?

Well, according to a study by John Lott, that is indeed true - at least where law abiding citizens can carry concealed. Lots of attempts to poke holes in the study, to the best of my knowledge no one has been successful.

Do a google search for Lott "More guns, less crime"

/Michael