I learned from CV that good statistical thinking looks like this:

"Although one problem could be solved by several alternative tests - there is always only one test which is the most appropriate to use".

I hope that similar thinking could be applied on plots. Are there any strict rules (or at least rule of thumb) according which I can choose the most appropriate graphical representations for my data?

Both box-and-whisker plot and bar chart are appropriate graphics for ANOVA according to The R Book (Crawley, 2013), but which is more appropriate? I suppose it depends on situation... can anybody help me?