But representing skew is precisely to show how "off" from a Guassian it is. Because real data is never perfectly Guassian, or perfectly anything. But the idea

But representing skew is precisely to show how "off" from a Guassian it is. Because real data is never perfectly Guassian, or perfectly anything. But the idea of a box plot is that it's for data which is in theory Gaussian or a similar unimodal kind of bell-shaped curve. Then you can look at the box plot and see if it actually is -- are the two boxes roughly equal-sized? Are the lines a bit longer than the boxes but not insanely so?