Empirical Rule & Z-Scores
Flashcard
•
Mathematics
•
11th - 12th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a z-score?
Back
A z-score tells you how many standard deviations away from the mean a score lies.
2.
FLASHCARD QUESTION
Front
What percentage of data falls within one standard deviation of the mean in a normal distribution?
Back
Approximately 68% of the data falls within one standard deviation of the mean.
3.
FLASHCARD QUESTION
Front
If a distribution is normal, what can we say about the z-scores?
Back
Z-scores in a normal distribution can be used to determine the relative position of a score within the distribution.
4.
FLASHCARD QUESTION
Front
What is the empirical rule?
Back
The empirical rule states that for a normal distribution, about 68% of the data falls within one standard deviation, 95% within two standard deviations, and 99.7% within three standard deviations of the mean.
5.
FLASHCARD QUESTION
Front
How do you calculate a z-score?
Back
Z-score = (X - μ) / σ, where X is the raw score, μ is the mean, and σ is the standard deviation.
6.
FLASHCARD QUESTION
Front
What does a z-score of 0 indicate?
Back
A z-score of 0 indicates that the score is exactly at the mean of the distribution.
7.
FLASHCARD QUESTION
Front
What does a positive z-score indicate?
Back
A positive z-score indicates that the score is above the mean.
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