MATH 202 Introduction to Statistics

(1) (Sections 3.1 & 3.2) Compute the sample mean, median, range, sample standard deviation, and sample variance for the following (artificially small) data set BY HAND (i.e., do not use 1-Var Stats in the calculator). Don't forget to properly label your statistics. 17 40 24 18 16

(2) (Section 3.3) The ages of residents in Calvin City are given in the following frequency distribution. Consider these data to be a population. Approximate the mean and standard deviation of the ages. (Use 1-Var Stats in your calculator for this one, but remember to show your "work.") (3) (Section 3.4) Calvin Fuzzball's daughter, Penelope, is filling out a college application that requires she supply either her SAT math score or her ACT math score. Penelope scored 610 on the SAT math and 27 on the ACT math. Which score should Penelope report, given that the mean SAT math score is 515 with a standard deviation of 114, and the mean ACT math score is 21.0 with a standard deviation of 5.1? Mathematically defend your answer. AGE FREQUENCY 0-9 283 10-19 203 20-29 217 30-39 256 40-49 176 50-59 92 60-69 21 70-79 23 80-89 12 90-99 3

(3) (Section 3.4) Calvin Fuzzball's daughter, Penelope, is filling out a college application that requires she supply either her SAT math score or her ACT math score. Penelope scored 610 on the SAT math and 27 on the ACT math. Which score should Penelope report, given that the mean SAT math score is 515 with a standard deviation of 114, and the mean ACT math score is 21.0 with a standard deviation of 5.1? Mathematically defend your answer