That doesn't mean that a woman at height X is more likely to be a CEO than a man at height X, which was the original claim.
That's simultaneously a very interesting and somewhat plausible claim, which is why I'd love it if someone did an actual analysis of it.
Is there a public dataset available of S&P 500 CEOs of the past two decades, tagged with height and gender? I might take a stab at a simple analysis myself if there is.
> That doesn't mean that a woman at height X is more likely to be a CEO than a man at height X, which was the original claim.
It basically does.
Suppose the average height for a female CEO is also 6'. (I can't find the actual number anywhere, Google seems to be useless for this sort of thing these days.) In that case women ~6' are over-represented as CEOs, even more than the men of the same height, QED.
Suppose it's less than that, e.g. 5'9". In that case women ~5'9" are over-represented, or less under-represented, as CEOs compared to men of the same height, otherwise the overall average wouldn't be 6'.
Having more data would tell you some interesting things like whether and to what extent it's true at any given height, but it implies that it's true for at least some heights and possibly all of them.
