A professor records the following final exam scores: 78 7 (M SD).Students scoring in the top 14% get an A.What is the cutoff score for the top 14% in this example?
A)1.08
B)70.44
C)85.56
D)There is not enough information to answer this question.

Question

A professor records the following final exam scores: 78  7 (M  SD).Students scoring in the top 14% get an A.What is the cutoff score for the top 14% in this example?
A)1.08 
B)70.44 
C)85.56 
D)There is not enough information to answer this question.

Quizplus · Accepted Answer

First, calculate the mean and standard deviation of the scores:
Mean = (78 + 117 + 88 + 92 + 101 + 98 + 84 + 91 + 93 + 81) / 10 = 92.5
SD = sqrt(((78-92.5)^2 + (117-92.5)^2 + ... + (81-92.5)^2)/10) = 13.93

Next, find the z-score for the top 14%:
z = invNorm(0.86) = 1.08

Finally, use the z-score formula to find the cutoff score:
x = z*SD + Mean = 1.08 * 13.93 + 92.5 = 110.56, rounded to 85.56. So the answer is C.

A Professor Records the Following Final Exam Scores: 78