Credit Sprint / Practice problems / Z-scores

Z-scores: practice

Psychology. Try each one, then open the answer. The Credit Sprint app generates unlimited new versions.

Item 1.

On a test the mean is 90 and the standard deviation is 15. What is the z-score for a score of 105?

Show answer

z = (score − mean) ÷ SD = (105 − 90) ÷ 15 = 1.

Item 2.

On a test the mean is 90 and the standard deviation is 12. What is the z-score for a score of 102?

Show answer

z = (score − mean) ÷ SD = (102 − 90) ÷ 12 = 1.

Item 3.

On a test the mean is 80 and the standard deviation is 5. What is the z-score for a score of 82.5?

Show answer

z = (score − mean) ÷ SD = (82.5 − 80) ÷ 5 = 0.5.

Item 4.

On a test the mean is 60 and the standard deviation is 10. What is the z-score for a score of 50?

Show answer

z = (score − mean) ÷ SD = (50 − 60) ÷ 10 = -1.

Item 5.

On a test the mean is 65 and the standard deviation is 12. What is the z-score for a score of 95?

Show answer

z = (score − mean) ÷ SD = (95 − 65) ÷ 12 = 2.5.

Item 6.

On a test the mean is 60 and the standard deviation is 4. What is the z-score for a score of 70?

Show answer

z = (score − mean) ÷ SD = (70 − 60) ÷ 4 = 2.5.