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I1 DDS} 2 HEIDI il3 DDT) 4 DDHRI SLG = A3 where S = singles, D = doubles, T = triples, HR = home runs,

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I1 DDS} 2 HEIDI il3 DDT) 4 DDHRI SLG = A3 where S = singles, D = doubles, T = triples, HR = home runs, and AB = total at- bats. Each single has a weight of 1, each double a weight of 2, each triple a weight of 3, and each home run a weight of 4. An atbat without a hit has a weight of 0. In his rst season with the New York Yankees, Babe Ruth set a record for slugging average that stood for more than 80 years. In 1 920, Ruth pounded 1 72 hits in 453 atbats. His hits consisted of 73 singles, 36 doubles, Q triples, and 54 home runs, resulting in a total base count of {73 c 1) + {36 - 2) + (9 o 3) + {54 - 4) = 388. When his total number of bases {383) is divided by his total atbats (458], the result is .847, his slugging percentage for the season. This record was broken in 2001 by Barry Bonds, who had 41 1 total bases in 475 atbats for a slugging average of .853. (Statistics from wmv.baseball-almanac.com) 1. Find the slugging average for a player with the following statistics: 5:63 D=40 T=4 HR=16 AB=320 2. REFLECTION: Is it possible to have a slugging average of more than 1? Theoretically, what is the highest possible value for the slugging average? Could a player ever achieve this value during a baseball season? Give an example or explain why none exist

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