Determine which score corresponds to the higher relative position.
-Which score has a higher relative position, a score of 271.2 on a test for which x = 240 and s = 24, or a score of 63.6 on a test for which x = 60 and s = 6?
A) A score of 63.6
B) Both scores have the same relative position.
C) A score of 271.2

Question

Quizplus · Accepted Answer

To determine the relative position, we need to find the z-score for each score.

For the first score (271.2),

z = (271.2 - 240) / 24 = 1.3

For the second score (63.6),

z = (63.6 - 60) / 6 = 0.6

Since the z-score for the first score is higher than the z-score for the second score, the first score has a higher relative position. Therefore, the answer is choice C, a score of 271.2.

Determine Which Score Corresponds to the Higher Relative Position