Interpreting z-scores

Flashcard
•
Mathematics
•
12th Grade
•
Hard
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a z-score?
Back
A z-score indicates how many standard deviations an element is from the mean of a distribution.
2.
FLASHCARD QUESTION
Front
How do you calculate a z-score?
Back
Z-score = (X - μ) / σ, where X is the value, μ is the mean, and σ is the standard deviation.
3.
FLASHCARD QUESTION
Front
What does a positive z-score indicate?
Back
A positive z-score indicates that the value is above the mean.
4.
FLASHCARD QUESTION
Front
What does a negative z-score indicate?
Back
A negative z-score indicates that the value is below the mean.
5.
FLASHCARD QUESTION
Front
If a jar candle has a mean burn time of 25 hours and a standard deviation of 2.5 hours, what is the burn time for a z-score of 1.5?
Back
Burn time = μ + (z * σ) = 25 + (1.5 * 2.5) = 28.75 hours.
Tags
CCSS.HSS.ID.A.4
6.
FLASHCARD QUESTION
Front
If a pillar candle has a mean burn time of 95 hours and a standard deviation of 7.5 hours, what is the burn time for a z-score of 1.5?
Back
Burn time = μ + (z * σ) = 95 + (1.5 * 7.5) = 106.25 hours.
Tags
CCSS.HSS.ID.A.4
7.
FLASHCARD QUESTION
Front
Does transforming raw scores to z-scores change the shape of the distribution?
Back
False, transforming raw scores to z-scores does not change the shape of the distribution.
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