Whenever the value of the z score is positive, then
A) the percentile must be greater than 50
B) the raw score must be greater than the mean
C) neither of these, since the z score is always positive
D) both a and b, but not c

Question

Quizplus · Accepted Answer

A z score is a measure of how many standard deviations an observation or data point is from the mean. If the z score is positive, it means that the observation is above the mean. Therefore, the raw score must be greater than the mean. Also, since the z score is a measure of how far above (or below) the mean an observation is, a positive z score indicates that the observation is higher than more than half of all observations. Therefore, the percentile must be greater than 50. Hence, both choices A and B are correct.

Whenever the Value of the Z Score Is Positive, Then