If the standard deviation of a data set is 0,
A)the data set is symmetric, and the negative values cancelled out the positive values.
B)the mean of the data set must also be 0.
C)a calculation error must have been made, as the standard deviation cannot be 0 when the data set has positive values.
D)all of the observations in the data set must be the same.
E)none of the above.

Question

Quizplus · Accepted Answer

The standard deviation measures the dispersion or variability of a dataset. If the standard deviation is 0, it means there is no variability in the dataset, implying all observations are identical. This does not necessarily mean the dataset is symmetric, that the mean is 0, or that a calculation error was made.

If the Standard Deviation of a Data Set Is 0