The standard deviation of a data set is \(0\), Which of the statements must be true?

A. The data set is empty.

B. The mean of the data set is \(0\).

C. The data elements are all unique and there is a constant difference between all of the elements.

D. The sum of the differences between each element and the mean is zero.

E. All of the data elements are equal to \(0\).

F. Half of the data elements are positive and half are negative.

G. All of the data elements have the same value.

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