This is a standard deviation contest. Which of the following sets of four numbers has the smallest possible standard deviation?
A. 7, 8, 9, 10
B. 5, 5, 5, 5
C. 0, 0, 10, 10
D. 0, 1, 2, 3
I know its B, but I don't understand why???

Question

This is a standard deviation contest. Which of the following sets of four numbers has the smallest possible standard deviation?
A.	7, 8, 9, 10
B.	5, 5, 5, 5
C.	0, 0, 10, 10
D.	0, 1, 2, 3
I know its B, but I don't understand why???

anonymous · Answer

"a quantity calculated to indicate the extent of deviation for a group as a whole."

It means it "deviates" or changes the least, since they are all the same number

anonymous · Answer

thanks!