For a particular sample, 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 standard deviation is a measure of the average distance of scores from the mean. Since the largest deviation is 11 and the smallest is 4, the standard deviation will be between these values, as it represents an average of all deviations.

For a Particular Sample, the Largest Distance (Deviation) Between a Score