When converting a z score into a raw score, anytime the z score is negative in sign
A) so too will be the raw score
B) so too will be the mean
C) so too will be the standard deviation
D) the value of the raw score will be less than the mean

Question

Quizplus · Accepted Answer

When converting a z score into a raw score, the formula used is raw score = (z score x standard deviation) + mean. Since the z score is negative, the product of z score and standard deviation will be negative, and subtracting this value from the mean will result in a raw score that is less than the mean. Therefore, D is the correct answer. A, B, and C are not necessarily true because they depend on other factors such as the specific values of the mean and standard deviation.

When Converting a Z Score into a Raw Score, Anytime