Assume GRE scores are normally distributed with a mean of 500 and a standard deviation of 100. A student's verbal GRE score is 470. What is the percentile rank of this score?
A) 48
B) -.3
C) 30
D) 38

Question

Quizplus · Accepted Answer

The percentile rank of a score is the percentage of scores that fall below it. To find the percentile rank of a score in a normal distribution, we use the Z-score formula: Z = (X - μ) / σ, where X is the score, μ is the mean, and σ is the standard deviation. For a score of 470, Z = (470 - 500) / 100 = -0.3. Looking up a Z-score of -0.3 in a standard normal distribution table gives a percentile rank of approximately 38.

Assume GRE Scores Are Normally Distributed with a Mean of 500