Standard deviation is zero

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

A. The data set is empty.

B. The mean of the data set is 0 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 0 .

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

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

C and G C and E A and B A and F F and D D and G

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