Question: 10. Ravi's math contest result put him in the 97th percentile. If 4000 students competed, how many had a score higher than Ravi's score? 11.

10. Ravi's math contest result put him in the 97th percentile. If 4000 students competed, how many had a score higher than Ravi's score?

11. The average mark on a math exam was 70% with a standard deviation of 2.5%. Kane scored 76%. Determine Kane's percentile if the distribution of the exam marks is bell shaped.

12. Both Aaron and Marie, who attended different schools, finished grade 12 with final averages of 82. The mean of these averages in Aaron's school was 65 and the standard deviation was 10. In Marie's school, the mean was 68 and the standard deviation was 8. The distribution of the final grades was bell-shaped. Determine who had the better mark.

13. IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. Mensa is the largest, oldest, and most famous high-IQ society in the world. The organization restricts its membership to people with high testable IQs. Specifically, potential members must score within the top 2% of any approved standardized intelligence test. What IQ is required to become a member of Mensa?

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