111k views
5 votes
Brian scored an 80% on a Chemistry Exam. The average on the exam was a 68%, with a standard deviation of

5%. What is Brian's z-score?

User Crafterm
by
3.1k points

1 Answer

4 votes

Answer:

Brian's z-score is 2.4

Explanation:

The equation for z score is presented as follows;


z = (x- \mu)/(\sigma)

Where:

x = Score = 80%

μ = Mean = 68%

σ = Standard deviation = 5%

Plugging in the values gives;


z = (80- 68)/(5) =2.4

Therefore, Brian's z-score on the Chemistry Exam, where the mean is 68%, the standard deviation is 5% and Brian's score is 80% = 2.4.

User CSchulz
by
3.7k points