If the value of the standard deviation is greater than the value of the range, then
A) the distribution is heterogeneous
B) the distribution is homogeneous
C) the distribution is skewed
D) none of these, since the standard deviation must always be less than the

Question

Quizplus · Accepted Answer

The range of a dataset is the difference between the maximum and minimum values, while the standard deviation measures the dispersion of the data points around the mean. By definition, the standard deviation cannot exceed the range, as the range encompasses the entire spread of the data, and the standard deviation is a measure of variability around the mean within this spread.

If the Value of the Standard Deviation Is Greater Than