The z score for any raw score may be found by
A) subtracting the mean from the raw score and dividing by the standard deviation
B) subtracting the raw score from the mean and dividing by the standard deviation
C) subtracting the raw score from 100 and dividing by 15
D) none of these, since raw scores cannot be converted into z scores

Question

Quizplus · Accepted Answer

The formula for calculating a z-score is (X - μ) / σ, where X is the raw score, μ is the mean of the population, and σ is the standard deviation. Thus, choice A correctly subtracts the mean from the raw score and divides by the standard deviation to find the z-score. Choice B incorrectly subtracts the raw score from the mean instead of vice versa. Choice C presents a completely different formula for an unrelated situation. Lastly, raw scores can indeed be converted into z-scores, as shown by formula A.

The Z Score for Any Raw Score May Be Found