Sam took 4 courses last semester: Calculus, Biology, History, and Physics. The means and standard deviations for the final exams, and Sam's scores are given in the table below. Convert Sam's scores into z-scores. Subject Mean Stand. dev. Sam's score Sam's z-score Calculus 70 12 94 Biology 77 10 74.5 History 53 16 45 Physics 60 14 70.5 On what exam did Sam have the highest relative score? (Enter the subject.) Note: You can earn partial credit on this problem.

Question

Thalia Copeland

Mathematics

29 June, 10:02

Sam took 4 courses last semester: Calculus, Biology, History, and Physics. The means and standard deviations for the final exams, and Sam's scores are given in the table below. Convert Sam's scores into z-scores. Subject Mean Stand. dev. Sam's score Sam's z-score Calculus 70 12 94 Biology 77 10 74.5 History 53 16 45 Physics 60 14 70.5 On what exam did Sam have the highest relative score? (Enter the subject.) Note: You can earn partial credit on this problem.

+5

Answers (2)

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Karlie Banks · Answer 1

Calculus

Step-by-step explanation:

Calculus: z = (94-70) / 12 = 2

Bio: z = (74.5-77) / 10 = - 0.25

History: z = (45-53) / 16 = - 0.5

Physics: (70.5-60) / 14 = 0.75

Savage · Answer 2

Answer:calculus

Step-by-step explanation:

Because Sam went from79 to 12 to 94 and in biology Sam only went to 74.5 and 94 in calculus is the highest