The proposition that the vast majority of the UK population have more than the average number of legs was first explained to me by a Swedish statistician to illustrate the difficulties in properly understanding statistics, even apparently simple things such as averages. He supported his statement thusly:
We can agree, without actual numbers, that there are people in the UK who have no (0) legs, yes?
We can agree, without actual numbers, that there are people in the UK who have one leg, yes?
We could think about people who have partial legs but this would be difficult to define well and anyway these can be disregarded from our thinking for reasons which will become clear later.
We can agree that the vast majority of people in the UK have two legs, yes?
We can agree that there are NO people in the UK with more than two legs, yes?
So adding up all the legs and dividing by the number of people, we can see that the average number of legs for people in the UK is some number
slightly less than two. Accounting for partial legs would further reduce the average and so does not lead to error in our reasoning.
The vast majority of people, have two legs, and this is MORE than the average number of legs.
QED