Last week Sarah had exams in Math and in Spanish On the Math

Last week Sarah had exams in Math and in Spanish. On the Math exam, the mean was m=30 with s=5, and Sarah had a score of X=45. On the English exam, the mean was m=60 with s=6 and Sarah had a score of X=65. For which class should Sarah expect the better grade?

Solution

Math exam:

Z-score= (X-mean)/s

=(45-30)/5

= 3

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English exam:

Z-score= (65-60)/6

=0.83

So Math class should Sarah expect the better grade