Ashley received a grade of 75 on her first neurobiology midterm, for which the class average was 80, with a standard deviation of 5. Marge received a 65 on her first neurobiology midterm, for which class average was 60, with a standard deviation of 2.5. Ashley feels bad for Marge. Please explain why Marge should be the one feeling bad for Ashley.
What will be an ideal response?
Ans: Ashley’s grade is one standard deviation below the mean. If grades are normally distributed, this means about 84% of students in Ashley’s class scored higher than she did. On the other hand, Marge’s grade is two standard deviations above the mean. If these grades are normally distributed, then only about 2% of students in Marge’s class scored higher than she did. Marge received a great mark on her test, and Ashley needs to study more.
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