Four students took a national standardized test for which the mean was 500 and the standard deviation was 100. If a student’s z-value was 1.75 on the test, what was the student’s score?

A z-value tells how many standard deviations a score is above or below the mean. With z = 1.75, mean 500, and standard deviation 100, the score is 500 + (1.75 × 100) = 675. The student’s score was 675, choice a.

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