The lower limit for the standard deviation is 0; the upper limit is________.
A) the score of the mean.
B) the score of the median.
C) a function of the number of cases.
D) undefined; there is no upper limit.

Question

Quizplus · Accepted Answer

The standard deviation can theoretically have any positive value, so there is no upper limit. This is because the calculation of the standard deviation involves squaring the deviations from the mean, which removes any negative signs and ensures that the sum of the squared deviations is always positive. Therefore, the standard deviation can continue to increase as the variability of the data increases.

The Lower Limit for the Standard Deviation Is 0; the Upper