Question

Bob made 116 on his accounting midterm and 82 on his biology midterm. For the accounting midterm, the mean score was 102 with standard deviation 14. For the biology midterm, the mean score was 70 with standard deviation of 5. Which score was the higher with respect to the rest of the class? Explain your answer.

Answer 1

his accounting score was one s.d. above the mean ... 84th percentile
... while his bio score was 2.4 s.d. above the mean ... 99th percentile

the percentiles are from the z-score table