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?

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.