Question

A math teacher gives two different tests to measure students' aptitude for math. Scores on the first test are normally distributed with a mean of 25 and a standard deviation of 4.6. Scores on the second test are normally distributed with a mean of 68 and a standard deviation of 11.9. Assume that the two tests use different scales to measure the same aptitude. If Bill scores 27 on the first test, and Dave scores 71 on the second test, describe their relative performance.

Is there enough information to solve this?

Answer 1

Z = (score - mean)/ standard deviation

Calculate Z scores for both persons.

Just comparing the Z scores will tell you which person did relatively better within their groups.

Answer 2

89