Podcast
Questions and Answers
Which percentile lines up with a z-score of -3?
Which percentile lines up with a z-score of -3?
- 15.87 percentile
- 0.13 percentile (correct)
- 50th percentile
- 2.28 percentile
What is the percentile that corresponds to a z-score of -2?
What is the percentile that corresponds to a z-score of -2?
- 50th percentile
- 2.28 percentile (correct)
- 0.13 percentile
- 15.87 percentile
What is the percentile that corresponds to a z-score of -1?
What is the percentile that corresponds to a z-score of -1?
- 15.87 percentile (correct)
- 0.13 percentile
- 2.28 percentile
- 50th percentile
What is the percentile that corresponds to a z-score of 0?
What is the percentile that corresponds to a z-score of 0?
Which of the following statements about z-scores is correct?
Which of the following statements about z-scores is correct?
What is the z-score for a score that is two standard deviations above the mean?
What is the z-score for a score that is two standard deviations above the mean?
What is the z-score for a score that is three standard deviations below the mean?
What is the z-score for a score that is three standard deviations below the mean?
If a z-score is 1.5, what can we conclude about the corresponding score?
If a z-score is 1.5, what can we conclude about the corresponding score?
If a score has a z-score of -0.5, what can we conclude about its position relative to the mean?
If a score has a z-score of -0.5, what can we conclude about its position relative to the mean?
Flashcards
What percentile does a z-score of -3 correspond to?
What percentile does a z-score of -3 correspond to?
A z-score of -3 is the same as being three standard deviations below the mean, which corresponds to the 0.13th percentile.
What percentile does a z-score of -2 correspond to?
What percentile does a z-score of -2 correspond to?
A z-score of -2 is the same as being two standard deviations below the mean, which corresponds to the 2.28th percentile.
What percentile does a z-score of -1 correspond to?
What percentile does a z-score of -1 correspond to?
A z-score of -1 represents a value one standard deviation below the mean, which corresponds to the 15.87th percentile.
What percentile does a z-score of 0 correspond to?
What percentile does a z-score of 0 correspond to?
Signup and view all the flashcards
What does a z-score of +1 represent?
What does a z-score of +1 represent?
Signup and view all the flashcards
What does a z-score of -3 represent?
What does a z-score of -3 represent?
Signup and view all the flashcards
What can we conclude about a score with a z-score of 1.5?
What can we conclude about a score with a z-score of 1.5?
Signup and view all the flashcards
What can we conclude about a score with a z-score of -0.5?
What can we conclude about a score with a z-score of -0.5?
Signup and view all the flashcards
What does a z-score tell us?
What does a z-score tell us?
Signup and view all the flashcards
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.
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
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.
