Finding and interpreting percentiles Refer to the dotplot of scores on Mr. Pryor's first statistics test. T 68 70 72 74 76 8.8 T 78 80 82 84 86 88 90 92 Score (a) Find the percentile for Norman, who scored 72. (b) Maria's test score is at the 48th percentile of the distribution. What score did Maria earn? Interpreting z-scores The mean for Mr. Pryor's statistics test was 80. Lionel took the test and his result had a z-score of -2.14. Write a sentence explaining what this means. Comparing location in different distributions Jordan (Mr. Tabor's daughter) was 55 inches tall at age 9. The distribution of height for 9-year-old girls has mean 52.5 inches and standard deviation 2.5 inches. Zayne (Mr. Tabor's grandson) was 58 inches tall at age 11. The distribution of height for 11-year-old boys has mean 56.5 inches and standard deviation 3.0 inches. Who is taller relative to other children of their gender and age, Jordan or Zayne? Justify your answer. Using the Empirical Rule to estimate areas The distribution of Iowa Test of Basic Skills (ITBS) vocabulary scores for seventh-grade students in Gary, Indiana can be modeled by a Normal distribution with mean = : 6.84 and standard = deviation 1.55. Use the Empirical Rule to answer the following questions. (a) What percent of these students have ITBS vocabulary scores less than 3 712