Last week,Sarah had exams in math and in Spanish.On the math exam,the mean was µ = 30 with σ = 5,and Sarah had a score of X = 45.On the Spanish exam,the mean was µ = 60 with σ = 8,and Sarah had a score of X = 68.For which class should Sara expect the better grade?
A)Math
B)Spanish
C)The grades should be the same because the two exam scores are in the same location.
D)There is not enough information to determine which is the better grade.

Question

Quizplus · Accepted Answer

In the math exam, Sarah's score is 3 standard deviations above the mean (45 - 30 = 15, 15 / 5 = 3). In the Spanish exam, her score is 1 standard deviation above the mean (68 - 60 = 8, 8 / 8 = 1). A score that is further from the mean in terms of standard deviations typically indicates a better performance relative to peers, so Sarah should expect a better grade in math.

Last Week,Sarah Had Exams in Math and in Spanish