[thaumasiotes]

That might be what you were saying from the beginning, but the only thing that that would establish is that you're completely out of touch with reality. Box plots are made for visualizing quartiles.

Your theory would imply, among other things, that the median line going through the box part of a box plot always divides it in half, which obviously is not the case.

[blueflow]

No? Exponential Gaussian?

Whatever you do, you should explain first what you do that your whiskers stay meaningful and are not just whatever randomness your outliers produced.