It is the same as wealth, or any dataset that has large data outliers on one side.

Average and mean are the same: normal distribution. Average higher than mean: skewed by big outliers.

Professional statistician affects the distribution of statistics knowledge like billionaires affect wealth distribution.

Congrats for having a shot, sadly that doesn't answer the questions posed in the slightest.

Again, why does the GP assume that a full half are distinctly lower than "average understanding" ? Why the assumption that multiple numbers cannot share an average understanding?

It was a joke, you are, of course, technically correct, there’s no requirement for the mean and median to be the same.

Fair point, in my time zone it was late, I was crabby, and there was a surrounding context of "bad statistics" comments.

That said,

If the mean and median were the same your statement would still not be always true. For more than one reason.

No harm done :)

I’m interested, in what cases would it not be true if we assume “average” here to be “median”? I can only think of one: if we consider “understanding” to be discrete rather than continuous.