Determine which score corresponds to the higher relative position.
-Which score has the highest relative position: a score of 47.4 on a test for which x = 42 and s = 9, a score of 5.6 on a test for which x = 3.9 and s = 1.2 or a score of 386.8 on a test for which x = 358 and s = 48?
A) A score of 386.8
B) A score of 5.6
C) A score of 47.4

Question

Quizplus · Accepted Answer

The relative position is determined by the z-score, calculated as (score - mean) / standard deviation. The z-scores are: A) (386.8 - 358) / 48 = 0.6, B) (5.6 - 3.9) / 1.2 = 1.42, C) (47.4 - 42) / 9 = 0.6. The highest z-score is for option B.

Determine Which Score Corresponds to the Higher Relative Position