Which is better, a score of 92 on a test with a mean of 71 and a standard deviation of 15, or a score of 688 on a test with a mean of 493 and a standard deviation of 150? (Assume that the distributions Being compared have approximately the same shape.)
A)A score of 92
B)A score of 688
C)Both scores have the same relative position.

Question

Which is better, a score of 92 on a test with a mean of 71 and a standard deviation of 15, or a score of 688 on a test with a mean of 493 and a standard deviation of 150? (Assume that the distributions Being compared have approximately the same shape.) 
A)A score of 92
B)A score of 688
C)Both scores have the same relative position.

Quizplus · Accepted Answer

A score of 92 is 1.4 standard deviations above the mean ((92-71)/15), while a score of 688 is 1.3 standard deviations above the mean ((688-493)/150). Therefore, the score of 92 is relatively better.

Which Is Better, a Score of 92 on a Test