I have a distribution than has an extremely wide range but has a gaussian shaped narrow peak inside of it. If I plot this data with boxplots I get a small box with small whiskers and many outliers of both sides of the whiskers. The length of the boxplot plus whiskers is only 10% of the actual data range.
How should I deal with visualizing this sort of data? I feel boxplots are not well suited for this. But since I want to compare this data with other datasets that do not have that many outliers, I would like to still use the boxplot for visual comparison.