More can be written, but you might like to read "How common were western movie style shoot outs and duels in the wild west?" , with answers by /u/gamblekat here, /u/verticaljeff here , [deleted] here, and to some extent /u/SnowblindAlbino here (though that one is more about violence in general). However, note that the rules 5 years ago were looser, so there's a large amount of fluff in there -- the replies I've marked are the ones that I think are applicable and of good quality.

As an aside: if you're interested in the "Wild West" more generally, this is from an FAQ section 'How historically accurate ... are "Wild West" tropes?' .

This is not to discourage discussion. More questions, data, and debate are welcome.

This is rather tangential to my own studies, but I have touched on the topic before, including here which may be of interest.