Which score has a higher relative position, a score of 299 on a test with a mean of 260 and a standard deviation of 26, or a score of 42 on a test with a mean of 40 and a a standard deviation of 4? (Assume that the distributions being compared have approximately the same shape.)
A)A score of 42
B)A score of 299
C)Both scores have the same relative position.

Question

Which score has a higher relative position, a score of 299 on a test with a mean of 260 and a standard deviation of 26, or a score of 42 on a test with a mean of 40 and a a standard deviation of 4? (Assume that the distributions being compared have approximately the same shape.) 
A)A score of 42
B)A score of 299
C)Both scores have the same relative position.

Quizplus · Accepted Answer

To determine the relative position, calculate the z-score for each. For 299: z = (299-260)/26 = 1.5. For 42: z = (42-40)/4 = 0.5. The score of 299 has a higher z-score, indicating a higher relative position.

Which Score Has a Higher Relative Position, a Score of 299