Question

Riley scored an 84 on both her math and art tests. Find both z-scores to determine which test was better.MATH: mean = 74; standard deviation = 6.1; z-score = (Round to the nearest hundredth)ART: mean = 67; standard deviation = 8.8; z-score = (Round to the nearest hundredth)Based on her z-score which test did Riley do better on?

Answer 1

The formula is given as;

Z = X - μ / б

where x is the score, μ is the mean and б is the standard deviation

Z- score for Math

Z = 84 - 74 / 6.1

=10/6.1

= 1.64

Z - score for Art

Z = 84 - 67 / 8.8

=17 / 8.8

=1.93

Base on the z- score, Riley did better in the Art - test