Continuous Probability Distribution Percentile Ranks

Jon Molnar will graduate form Caroling Forest High School this year. He took the American College Test (ACT) for college admission and received a score of 30. The high school principal informed him that only 2 percent of the students taking the exam receive a higher score. The meanscore for all students taking the exam is 18.3. Jon’s friend Karrie and George also tool the test but were not given any information by the principal other than their score. Karrie scored 25 and George 18. On this basis of this information, what were Karrie’s and George’s percentileranks? Assume that the distribution of scores follow the normal distribution.

Word document showing the calculations to find two students’ percentile ranks in their graduations.