MathDB

Choose a real number between

0

and

10

, inclusive. If your number is less than the average of all numbers chosen, you will get your number's worth of points, but if your number is greater than or equal to the average, you will get

0

points. For example, if the average of all numbers chosen is

1.2

, and you pick

1.6

, then you will receive

0

points, but if you pick

0.5

, then you will receive

0.5

points. Express your answer to the nearest thousandth. For example,

7.800

2.110

, and

0.234

are valid responses, but

7.8

and

0.2345

are not. An invalid response will receive a score of zero.

Problem Statement