I have data with nice bell-shaped histogram PDF. However, the Normal distribution fitting (by calculating mean and variance) does not work as the figure below.
My question is that if there are other distributions I should try according to your experience. In other words, by which distribution should a nice bell-shaped data, which is not well fit by Normal distribution, be fit.
My ultimate goal is to have an approximated analytic form of cummulative distribution function to analyze the according probability. Thus any advices towards solving this goal are appreciated.
I include the data (space as delimiter): Data to fit.