just because something is statistically more likely doesn't mean the stereotype is correct. the extension of your analogy is that fishkeepers wear purple pants, yet the majority of them wouldn't. the problem with stereotypes is that they oversimplify things. for instance the stereotype of the crazy cat lady. how many woman that own cats are in fact crazy? the percentage would be neglegable. racism is based on stereotypes, which may have some sort of statistical backing, but are rubbish. as i say the human personality is a complex thing and cannot be generalised so easily.