I used to cube a few years ago and could solve the cube but was not very fast. Just about 3 weeks ago I picked up the cube again. I had forgotten all the algorithms and had to re-learn them. In that time my average went from over a minute to sub-30. I don't remember how long it took me initially...
I say 2:00 plus. The majority of the population can not solve a cube, and the faster you go, the fewer people that can solve that fast. So there are clearly more people who can solve the cube in 2 minutes than who can solve it in 1 minute, 30 seconds 15 seconds, etc. thus making it more "normal".
Assuming total turns = cubestates generated
Exactly. Some cubestates are much more common than others, such as the solved state, and all LL cases, even some f2l cases. So this may make the total number even less because of the sheer number of turns that have been made to get cubes into such...