
z-Scores & Normal Distribution
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Easy
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 is a statistical measurement that describes a value's relationship to the mean of a group of values. It is calculated by subtracting the mean from the value and then dividing by the standard deviation.
2.
FLASHCARD QUESTION
Front
How do you calculate a z-score?
Back
The formula for calculating a z-score is: z = (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 negative z-score indicate?
Back
A negative z-score indicates that the value is below the mean of the data set.
4.
FLASHCARD QUESTION
Front
What does a positive z-score indicate?
Back
A positive z-score indicates that the value is above the mean of the data set.
5.
FLASHCARD QUESTION
Front
What is the mean in a normal distribution?
Back
The mean is the average of all data points in a normal distribution and is located at the center of the distribution.
Tags
CCSS.6.SP.B.5D
CCSS.HSS.ID.A.2
6.
FLASHCARD QUESTION
Front
What is the standard deviation in a normal distribution?
Back
The standard deviation measures the amount of variation or dispersion of a set of values in a normal distribution.
7.
FLASHCARD QUESTION
Front
What is the empirical rule (68-95-99.7 rule)?
Back
The empirical rule states that in a normal distribution: 68% of data falls within one standard deviation of the mean, 95% within two standard deviations, and 99.7% within three standard deviations.
Tags
CCSS.HSS.ID.A.4
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