Question

6. Scores on a history test have average of 80 with standard deviation of 6. What is the z-score for a student who earned a 75 on the test? ​

Answer 1

The formula for calculating the z-score is: z = (X - μ) / σ where X is the individual score, μ is the mean, and σ is the standard deviation. Plugging in the values, we get: z = (75 - 80) / 6 z = -5 / 6 z ≈ -0.833 So, the z-score for a student who earned a 75 on the test is approximately $\boxed{-0.833}$