Which score has the highest relative position: a score of 39.8 on a test with a mean of 35 and a standard deviation of 6, a score of 4.4 on a test with a mean of 3.1 and a standard deviation of 1.2
A score of 513 on a test with a mean of 458 and a standard deviation of 55? (Assume that the Distributions being compared have approximately the same shape.)
A)A score of 513
B)A score of 39.8
C)A score of 4.4

Question

Which score has the highest relative position: a score of 39.8 on a test with a mean of 35 and a standard deviation of 6, a score of 4.4 on a test with a mean of 3.1 and a standard deviation of 1.2
A score of 513 on a test with a mean of 458 and a standard deviation of 55? (Assume that the Distributions being compared have approximately the same shape.) 
A)A score of 513
B)A score of 39.8
C)A score of 4.4

Quizplus · Accepted Answer

The z-score for each score is calculated as follows:  - For 39.8: (39.8 - 35) / 6 = 0.8  - For 4.4: (4.4 - 3.1) / 1.2 = 1.08  - For 513: (513 - 458) / 55 = 1  The score of 4.4 has the highest z-score, indicating the highest relative position.

Which Score Has the Highest Relative Position: a Score of 39.8