Algebra II : Z-scores

Study concepts, example questions & explanations for Algebra II

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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.

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 #501 : Algebra Ii

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 #431 : Basic Statistics

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 #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?

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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