1. At the end of a particular semester, Carl took four final exams. The mean and ...

1. At the end of a particular semester, Carl took four final exams. The mean and standard deviation for each exam, along with Carl’s grade on each exam, are listed here. Assume that the grades on each exam are normally distributed.

Exam    Class mean    Class SD    Carl’s grade
French    70.4    6.3    68.2
History    88.2    4.1    83.4
Psychology    83.6    3.5    89.2
Statistics    75.4    8.6    82.5

a. On which exam did Carl do best relative to the other students taking the exam? How do you know this? What was his percentile rank for his best exam?

b. On which exam did Carl do the worst relative to the other students taking the exam? How do you know this? What was his percentile rank for his worst exam?

8 years ago

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(a) z- score for French = (x – μ)/σ = (68.2 – 70.4)/6.3 = -0.3492 ...

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