During the research of facebook, professor found that a user has an average of 190 friends but their friends have an average of 635 friends.
Maybe you would be a litter disappointed about the result. You spend plenty of your time on facebook. Every day you update your state and upload some photos or share some interesting things with your friends. You try to make friend online and maintain the friendship. Unfortunately, even though you have done so much, your friends are still less than your friends' friends.The same tendency was also found in offline social network.
However, we don't need to worry about it because the result is a statistic result, which has nothing to do with the personal character. The average number of your friends' friends are always more than yours. This phenomenon was called friends paradox.
Now I will try to explain the phenomenon. When you walk into a gym you may found everyone in the gym looks like this:
You may found that nearly everyone is stronger than you. But don't be shame of it. Because if you don't have ardent love for gym the result is right equals to expectation. Why? Because you didn't count in the person who stay at home.The people in gym doesn't represent the average level.
This also explain why people always think the congestion of airport, beach and other place are bad than the statistic average. Because when this places are empty, there exist no one to witness the moment.
Let use a small social network modle to explain it.
Abby, Becca, Chloe and Deb are four students and the edges between means the friendship. For Abby, she has one friends and Becca has three. We can easy calculate the average friends number is 8/4=2.
Now let calculate the average friends number of your firends.
For Abby, her friends Becca has 3 friends.
For Chloe, her firends Becca has 3 friends and her friends Deb has two friends.
.
.
.
.
At last ,we calculate the result is 2.25, a litter higher than 2.
Why this
phenomenon happen? Because the person like Becca contribution more to the result. Her contribution is more than liner. Becca has been mentioned for three times so her contribution is 3X3.
That's why our friends' friends are always more than our's. Our friends' scores are square after the weighted average' and it would be bigger than our score without square.







