Algebra II : Z-scores

Study concepts, example questions & explanations for Algebra II

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Example Questions

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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.

Possible Answers:

Correct answer:

Explanation:

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?

Possible Answers:

Correct answer:

Explanation:

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?

Possible Answers:

Correct answer:

Explanation:

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 #14 : 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?

Possible Answers:

Correct answer:

Explanation:

Use the formula for z-score:

Where  is your score,  is the mean, and  is the standard deviation.

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