The ultimate goal is to show users, at a glance, if their data is normally distributed.
The first attempt is a kludge that plots the data in a frequency graph. Then, the observed mean and standard deviation are used to build a "normal curve" graph. The frequency chart is laid over the the normal-curve chart and put next to some key statistics. The frequency chart also colors positive bins green and negative bins red.
It looks like this:
I understand the fallacy of this approach, but for now it's practical. What is a better way to approach this issue?