This is a standard deviation contest. You have a six sided die with the numbers 1 to 6 written on the faces.

Question

a)In order to have the smallest possible standard deviation what number(s) would have to show up if you rolled the die five times?
b)In order to have the largest possible standard deviation what number(s) would have to show up if you rolled the die five times?
c)Redo (a) or (b) if no repeats allowed. You ignore a repeated number and roll again

Answer 1

a) to have no standard deviation at all would be the smallest possible. SD = 0. I think the same number would have to come up 5 times.

b)You would want the widest range of numbers. I am thinking 1's and 6's