Z-scores

Practice Questions

Algebra II › Z-scores

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1

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?

2

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)?

3

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?

4

Find the z-score if the result of a test score is 6, the mean is 8, the standard deviation is 2.

5

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?

6

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.

7

You just took your ACT. The mean score was a with a standard deviation of . If you scored a , what is your z-score?

8

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?

9

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?

10

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?

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