Whenever the z score equation is used in order to calculate the mean, the mean must always be greater than the raw score
A) when the raw score has a percentile value of less than 50
B) when the raw score has a percentile value of greater than 50
C) when the raw score is negative
D) when the z score is positive

Question

Quizplus · Accepted Answer

When the raw score has a percentile value of less than 50, it indicates that the score is below the median of the distribution, which typically means it is also below the mean in a normal distribution. Since z-scores represent the number of standard deviations a raw score is from the mean, a raw score with a percentile less than 50 (indicating it is below the median and likely below the mean) would result in a negative z-score if the mean were not greater than the raw score.

Whenever the Z Score Equation Is Used in Order to Calculate