If the standard deviation for a set of data is 0, which of the following must be true?

A. All of the data values are negative.

B. All the data values equal 0.

C. All of the data values are identical.

D. None of the above must be true since the standard deviation cannot be equal to 0.

Question

Mathematics

Edith Gentry

18 May, 03:45

If the standard deviation for a set of data is 0, which of the following must be true?

A. All of the data values are negative.

B. All the data values equal 0.

C. All of the data values are identical.

D. None of the above must be true since the standard deviation cannot be equal to 0.

+1

Answers (1)

Know the Answer?

Laurel Roman · Answer 1

C. All of the data values are identical.

Step-by-step explanation:

If the standard deviation for a set of data is 0, then all of the data values are identical.

When a standard deviation is 0, then the variance is also 0 and the mean of the deviation that is squared is also 0, thereby making all the values identical to the mean, that is 0.

If the standard deviation for a set of data is 0, which of the following must be true?A. All of the data values are negative.B. All the data values equal 0.C. All of the data values are identical.D. None of the above must be true since the standard deviation cannot be equal to 0.

If the standard deviation for a set of data is 0, which of the following must be true?

A. All of the data values are negative.

B. All the data values equal 0.

C. All of the data values are identical.

D. None of the above must be true since the standard deviation cannot be equal to 0.