# Normal distribution - Jon Molnar will graduate from Carolina Forest High School this year.

7-54. Jon Molnar will graduate from Carolina 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 mean score for all students taking the exam is 18.3. Jon's friends Karrie and George also took the test but were not given any information by the principal other than their scores. Karrie scored 25 and George 18. On the basis of this information, what were Karrie's and George's percentile ranks? Assume that the distribution of scores follows the normal distribution.

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#### Solution Preview

Since Jon is at the 98th percentile,

P(Z<2.06)=0.98

We solve for sd using the z-score of 2.06.

(X-mean)/sd = ...

#### Solution Summary

The solution examines the normal distribution of a graduating high school class.