Whenever a given raw score coincides exactly with the mean, the resulting z score, regardless of the size of the standard deviation, must be
A) equal to 0
B) positive
C) equal to 50
D) none of these, since in this case, the z score cannot be found

Question

Quizplus · Accepted Answer

When the raw score is equal to the mean, the difference between the raw score and the mean is 0. Since the z-score formula is (raw score - mean)/standard deviation, when the difference is 0, the numerator is 0 and the z-score is equal to 0.

Whenever a Given Raw Score Coincides Exactly with the Mean