Most people have fewer friends than
their friends have, on average.
(In reply to n = 721,000,000
by Steve Herman)
If there are two classes: one with 10 students and one with 30 students, you are 3 times more likely to be in the large one.
If there are 3 flights with 100, 200 and 300 people you have a 50% chance of being on the largest flight. In fact 50% of the people will be. So while the average flight size is (100+200+300)/3 = 200, the weighted average of people on your flight is (100²+200²+300²)/600 = 233.
And if you say "I never seem to be on a nearly empty flight." Realize that it's a minority of who people do.
With friendships it's the same, but you have to look at non-friendships. In a group of people, some might be friends with almost everyone else (low non-friendships). But most people will not because every time a potential friendship is missing it is missing for two people.
Posted by Jer
on 2014-11-03 09:30:35