Which of the following standard scores is equivalent to a percentile rank of 50?
A) z = 0
B) T = 50
C) AGCT = 100
D) all of the above
E) none of the above

Question

Quizplus · Accepted Answer

A percentile rank of 50 corresponds to the median of a distribution. A z-score of 0 indicates the mean of a standard normal distribution, which is also the median. A T-score of 50 is the mean of a T distribution, which is used in some contexts similarly to z-scores. AGCT scores are designed to have a mean of 100, and while not as commonly used in this context, the principle that the mean can represent the median in a symmetric distribution applies. Therefore, all of the options are equivalent ways of representing a percentile rank of 50 in their respective scoring systems.

Which of the Following Standard Scores Is Equivalent to a Percentile