Answer to Question #263950 in Statistics and Probability for Haduken

Question

The mean grade in a Physics examination was 75 and the standard deviation was 5. Determine the standard scores (z-value) corresponding to a grade of 85.

Answer 1

$$Z=\dfrac{X-\mu}{\sigma}=\dfrac{85-75}{5}=2$$

The standard scores (z-value) corresponding to a grade of 85 is $Z=2.$