The smallest score in a population is X = 5 and the largest score is X = 10.Based on this information,you can conclude that the____.
A)mean is greater than 10
B)standard deviation is smaller than 5
C)standard deviation is less than 6
D)standard deviation is greater than 6

Question

The smallest score in a population is X = 5 and the largest score is X = 10.Based on this information,you can conclude that the____.​
A)​mean is greater than 10
B)​standard deviation is smaller than 5
C)​standard deviation is less than 6
D)​standard deviation is greater than 6

Quizplus · Accepted Answer

The standard deviation is a measure of the spread of scores around the mean. Since the range of scores is from 5 to 10, the standard deviation must be smaller than the range, which is 5.

The Smallest Score in a Population Is X = 5