Find the z-score corresponding to the given value and use the z-score to determine whether the value is unusual.
Consider a score to be unusual if its z-score is less than -2.00 or greater than 2.00. Round the z-score to the nearest tenth
if necessary.
-Which is better: a score of 82 on a test with a mean of 70 and a standard deviation of 8, or a score of 82 on a test with a mean of 75 and a standard deviation of 4?
A)The first 82
B)Both scores have the same relative position.
C)The second 82

Question

Quizplus · Accepted Answer

The z-score for the first 82 is calculated as (82 - 70) / 8 = 1.5, which is not considered unusual. The z-score for the second 82 is calculated as (82 - 75) / 4 = 1.75, which is closer to being unusual but still not considered unusual. However, the second 82 has a higher z-score, indicating it is a better score relative to its distribution.

Find the Z-Score Corresponding to the Given Value and Use