I don't find these things are easy to check at all. This is why I "check" them by e.g. asking here.

Sure, I could look up stats about say male and female CEOs, but it would only give me a very superficial answer, it would only answer the most literal interpretation of the question, and not the more important ones, such as why do people feel so, why does it appear so, or what kind of other questions can be disguised under this one. Mere facts are about the least important kind of information when it is about the human, social world and not the natural world. Nature is made of facts, society is of words.