Facts About Statistics

One use of statistics is winning bets. I'm going to pick one of the elements of L (uniformly at random). You get to pick one number.

• Lose if your number is smaller than mine.
• Lose if your number is bigger than mine.
• Lose if you get the wrong number.
• Lose proportional to the square of the difference between the numbers.
• Lose proportional to the absolute difference between the numbers.

maximum, minimum, mode, mean, median.