AnswersAZ-Common Core Algebra II BRepresenting Data — Unit testQuestion 11
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Representing Data — Unit test

Question 11 • AZ-Common Core Algebra II B

Derek Jeter challenges Albert Pujols to a batting battle. Each will earn 1 point for a hit other than a home run and 4 points for a home run in each round. Which player should you back given the statistics in the table below? Note that home runs are included as hits in the table.Data for Two BattersBatterAt BatsHitsHome RunsJeter4881569Pujols44812526

Answer
A
E(Jeter) = 0.38 and E(Pujols) = 0.45, so back Pujols.
B
E(Jeter) = 0.39 and E(Pujols) = 0.51, so back Pujols.
C
E(Jeter) = 0.34 and E(Pujols) = 0.34, so it doesn’t matter who you back.
D
E(Jeter) = 1.22 and E(Pujols) = 0.94, so back Jeter.

Explanation

Count each non-home-run hit as 1 point and each home run as 4 points. Jeter had 156 − 9 = 147 non-home-run hits, so his expected points per at-bat are (147 + 4 × 9) ÷ 488 ≈ 0.38. Pujols had 125 − 26 = 99 non-home-run hits, giving (99 + 4 × 26) ÷ 448 ≈ 0.45, so back Pujols.

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