Pat's last statistics test score was 72.If the instructor tells Pat the grade distribution was approximately normal, the class mean was 67, and the standard deviation was 3, which of the following is correct?
A)A score of 72 is never good.
B)Pat should be worried about this score, because many other students did better.
C)Pat should be fairly happy about this score, because many students did not do as well.
D)Pat should be ecstatic, because this is obviously one of the highest grades in the class.

Question

Quizplus · Accepted Answer

Given the normal distribution of scores, a mean of 67, and a standard deviation of 3, Pat's score of 72 is significantly above the mean. This means Pat performed better than many students, as scores are spread out on both sides of the mean in a normal distribution.

Pat's Last Statistics Test Score Was 72