For a particular population,the largest distance (deviation)between a score and the mean is 11 points.The smallest distance between a score and the mean is 4 points.Therefore,the standard deviation _____.
A)will be less than 4
B)will be between 4 and 11
C)will be greater than 11
D)It is impossible to say anything about the standard deviation.

Question

Quizplus · Accepted Answer

The range of scores is 15 (11+4), which is 3 standard deviations (assuming a normal distribution). Therefore, the standard deviation would be 5 (15/3), which falls between 4 and 11.

For a Particular Population,the Largest Distance (Deviation)between a Score and the Mean