I've really been going down a rabit hole in the stereotype literature and it's been depressing and shocking. There are a number of empirical questions to ask regarding stereotypes and stereotyping. One of the first to ask is, are stereotypes accurate? Brief glimpse of that literature that is really supporting to me the answer is, largely, yes.
https://www.spsp.org/news-center/blog/stereotype-accuracy-response
https://www.spsp.org/news-center/blog/stereotype-accuracy-response