Question

A teacher graded the tests for each of her students. She calculated a mean grade of 80 and a

standard deviation of 3. One of her students, Katrina, had a z-score of 2. What grade did Katrina
get on the test?

Answer 1

Katrina got 86 in her test

Explanation:

given

mean = 80

standard deviation = 3

z-score = 2

Let score of Katrina = x

Recall z-score is calculated by

z-score = (x-mean) / standard deviation

substitute values and solve for x

2 = (x-80)/3

x-80=6

x = 86