Which is better a score of 90 on a test with a mean of 60 an

Which is better, a score of 90 on a test with a mean of 60 and a standard deviation of 20, or a score of 680 on a test with a mean of 500 and a standard deviation of 100?
A) Both scores have the same relative position.
B) A score of 90
C) A score of 680

Solution

The relative position is the z score.

For the first score,

z(90) = (x - u)/sigma = (90-60)/20 = 1.5

For the second,

z(680) = (x-u)/sigma = (680-500)/100 = 1.8

Thus, the score of 680 has a better relative position. [OPTION C: 680]