Generalizations are used to simplify discussions. Acting on it on a one-to-one level is foolish. It simply tells what to look for.
Supposing I say whites are racist, that is simply to convey a popular characteristic. At the same time I have white friends and others who are a bit different. The point is, if the generalization is true or false. In my town people often say blacks are lazy. I know what they mean and I know they are not looking at cause and effect. I remain comfortable. I never wanted to own a pit bull dog because they said they were extremely dangerous. Then I got one that is very friendly even with children and it can be aggressive when necessary.
But the generalization is still true even if I find one that is different. It is the same with people.

I like this discussion.