Answer to Question #266478 in Statistics and Probability for tanya

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

Solution:

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

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