Jokes


It's not necessarily true that half of a group of numbers are smaller than the average. If the numbers were 1, 2, 3, 4 ,5 and 100, for example, all but one are smaller than the average. However, it's always the case that half of a group of numbers are smaller than the median (not considering trivial cases where the median appears in the group multiple times, e.g. 15, 30, 30, 30, 30, 30, 30, 35, 43, 57).

So, with regard to the quote, if it were the case that a small group of people were smarter than most people by a huge amount, and no significant group is dumber than most people by a large amount, then more than half of the population would be dumber than the "average person."
Then again, the term "average person" is not usually defined in terms of mathematical average, so I could just be ranting about nothing here.

So, with regard to the quote, if it were the case that a small group of people were smarter than most people by a huge amount, and no significant group is dumber than most people by a large amount, then more than half of the population would be dumber than the "average person."
Then again, the term "average person" is not usually defined in terms of mathematical average, so I could just be ranting about nothing here.
When people say "average," they can mean the median, mean, or mode.