Your friend places 11 numbers into a hat without showing you what those numbers are.He tells you he will give you $10 if you can guess the exact number that he will randomly pick out of the hat.He says that the mean of the numbers is 5,the median is 6,and the mode is 8.What would your best guess be?
A) 5
B) 6
C) 8
D) Any random number between 1 and 11; knowing the statistics won't help

Question

Quizplus · Accepted Answer

Since the mode is 8, there is a greater chance that the randomly picked number will be 8 than any other number. Even though the mean is 5 and the median is 6, these two statistics do not have as much bearing on the randomly picked number as the mode does. Therefore, the best guess would be 8.

Your Friend Places 11 Numbers into a Hat Without Showing