All Algebra II Resources
Example Questions
Example Question #11 : Z Scores
Determine the z-score of a test result is 45, the mean is 60, and the standard deviation is 8.
Write the formula for z-scores. Z-scores determine the number of standard deviations below or above the mean.
Substitute the values into the formula to determine the z-score.
The z-score is .
Example Question #12 : Z Scores
Suppose Billy scored a 54 on his exam. The mean of the exam grades is 66 and the standard deviation is 3. What is the z-score?
Write the formula for z-scores. Z scores determine how many standard deviations a score is above or below the mean.
Substitute the known values in order to determine the z-score.
The answer is:
Example Question #13 : Z Scores
Sarah scored an 8.5 out of ten on her gymnastics floor routine. If the mean of the scores is 9.2 and the standard deviation is 1.3, what is her z-score?
Write the formula for z-scores. Z-scores are indicators of how many standard deviations above or below the mean.
Substitute the known values.
The answer is:
Example Question #11 : Z Scores
You just took your ACT. The mean score was a with a standard deviation of . If you scored a , what is your z-score?
Use the formula for z-score:
Where is your score, is the mean, and is the standard deviation.