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Questions and Answers
Which percentile lines up with a z-score of -3?
What is the percentile that corresponds to a z-score of -2?
What is the percentile that corresponds to a z-score of -1?
What is the percentile that corresponds to a z-score of 0?
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Which of the following statements about z-scores is correct?
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What is the z-score for a score that is two standard deviations above the mean?
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What is the z-score for a score that is three standard deviations below the mean?
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If a z-score is 1.5, what can we conclude about the corresponding score?
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If a score has a z-score of -0.5, what can we conclude about its position relative to the mean?
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Study Notes
Z-Scores and Percentiles
- A z-score of -3 corresponds to a percentile of approximately 0.13%.
- A z-score of -2 corresponds to a percentile of approximately 2.28%.
- A z-score of -1 corresponds to a percentile of approximately 15.87%.
- A z-score of 0 corresponds to a percentile of 50% (i.e., the mean).
Properties of Z-Scores
- A correct statement about z-scores is: z-scores can be positive or negative, depending on whether the score is above or below the mean.
- A z-score of 2 corresponds to a score that is two standard deviations above the mean.
- A z-score of -3 corresponds to a score that is three standard deviations below the mean.
Interpreting Z-Scores
- If a z-score is 1.5, we can conclude that the corresponding score is 1.5 standard deviations above the mean.
- If a score has a z-score of -0.5, we can conclude that it is 0.5 standard deviations below the mean.
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Description
Test Percentiles and Z-Scores Quiz: Test your knowledge on percentiles and z-scores with this quiz. Learn how to interpret percentile rankings based on z-scores and understand what it means to be in a specific percentile compared to other test takers.
