A statistics student receives a grade of 85 on a statistics midterm. If the corresponding z-score equals +1.5 and the standard deviation equals 7, the average grade on this exam is .
A) 74.5
B) 75.4
C) 68.5
D) 76.9
E) None of the choices are correct

Question

Quizplus · Accepted Answer

The z-score is calculated as (x - u) / s, where x is the score, u is the mean, and s is the standard deviation. We know that the z-score is +1.5, the standard deviation is 7, and the score is 85. We can use this to solve for the mean:85 = u + 1.5 * 785 = u + 10.5u = 74.5Therefore, the average grade on this exam is 74.5.

A Statistics Student Receives a Grade of 85 on a Statistics