Algebra II › Z-scores
Your teacher tells you that the mean score for a test was a and that the standard deviation was
for your class.
You are given that the -score for your test was
. What did you score on your test?
A large group of test scores is normally distributed with mean 78.2 and standard deviation 4.3. What percent of the students scored 85 or better (nearest whole percent)?
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?
Find the z-score if the result of a test score is 6, the mean is 8, the standard deviation is 2.
In a normal distribution, if the mean score is 8 in a gymnastics competition and the student scores a 9.3, what is the z-score if the standard deviation is 2.5?
A distributor manufactures a product that has an average weight of pounds.
If the standard deviation is pounds, determine the z-score of a product that has a weight of
pounds.
You just took your ACT. The mean score was a with a standard deviation of
. If you scored a
, what is your z-score?
On a statistics exam, the mean score was and there was a standard deviation of
. If a student's actual score of
, what is his/her z-score?
The mean grade on a science test was 79 and there was a standard deviation of 6. If your sister scored an 88, what is her z-score?
Suppose a student scored a on a test. The mean of the tests are
, and the standard deviation is
. What is the student's z-score?