Question

Six students took a national standardized test for which the average score was 700 and the standard deviation was 150.  If a student’s z-value is 1.75 on the test, what was the student’s score?

Answer 1

Answer: d. 963

Explanation:

took the test

Answer 2

z-score is calculated through the equation below.
z-score = (x - u) / d
where x is the value, u is the mean or also known as average, and d is the standard deviation.

Substituting the known values to the equation,
1.75 = (x - 700)/150
The value of x is equal to 962.5. Therefore, the student's score is equal to 962.5.