The standard deviation of a normally distributed random variable:
A)cannot be greater than the variance of that variable
B)cannot be greater than the mean of that variable
C)cannot be less than zero
D)both a and c are true
E)none of the above

Question

Quizplus · Accepted Answer

The standard deviation of any distribution, including a normal distribution, cannot be less than zero because it is defined as the square root of the variance, which is a measure of dispersion or spread in the data. Negative values for dispersion do not make sense in this context.

The Standard Deviation of a Normally Distributed Random Variable