SOA Exam P Sample Question 139
Study guide: Exam P-1
Math SAT scores are normally distributed and when reported are rounded to multiples of ten.
In 1982 Abby's mother scored at the rounded 93^{\text{rd}} percentile on the math SAT exam. In 1982 the mean score was 503 and the variance of the scores was 9604.
In 2008 Abby took the math SAT and got the same rounded numerical score as her mother had received 26 years before. In 2008 the mean score was 521 and the variance of the scores was 10,201.
Calculate the percentile corresponding to Abby's rounded score.
- A)
89^{\text{th}} - B)
90^{\text{th}} - C)
91^{\text{st}} - D)
92^{\text{nd}} - E)
93^{\text{rd}}
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