If a student scored 75 points on a test where the mean score was 83.5 and the standard deviation was 3.1. The student's z score is ________.

Z = (score-mean)/SD

Insert values and calculate.

0.88

0.23 To find the z-score, we need to use the formula:

z = (x - μ) / σ

Where:
- x is the student's score (75)
- μ is the mean score (83.5)
- σ is the standard deviation (3.1)

Now, let's substitute the values into the formula:

z = (75 - 83.5) / 3.1

Simplifying this expression:

z = -8.5 / 3.1

Calculating the result:

z ≈ -2.74

Therefore, the student's z-score is approximately -2.74.