In a roller-skating rink, the skaters all move at different speeds. Most skate slightly faster or slower than others, but sometimes an adventuresome skater accelerates to an "outlying" speed that is much higher than that of everyone else, creating a hazard. As a result, skating rinks often post a sign that says:

Any skater moving faster than the average speed of all the skaters
will be asked to leave the rink.

It is clear what the sign means, but it is statistically nonsensical. If there are 150 skaters in a rink, all skating at slightly varying speeds, what is the best estimate for

Question

In a roller-skating rink, the skaters all move at different speeds. Most skate slightly faster or slower than others, but sometimes an adventuresome skater accelerates to an "outlying" speed that is much higher than that of everyone else, creating a hazard. As a result, skating rinks often post a sign that says:


Any skater moving faster than the average speed of all the skaters 
will be asked to leave the rink.

It is clear what the sign means, but it is statistically nonsensical. If there are 150 skaters in a rink, all skating at slightly varying speeds, what is the best estimate for

anonymous · Answer

how many of them are moving faster than the average speed of all the skaters?