Distribution of scores following the normal distribution


Problem: 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 received a high score. The mean score for all students taking the exam is 18.3. Jon's friends Karrie and George all 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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Basic Statistics: Distribution of scores following the normal distribution
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