Describing Distribution
Flashcard
•
Mathematics
•
11th Grade
•
Hard
+2
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a normal distribution?
Back
A normal distribution is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.
2.
FLASHCARD QUESTION
Front
What is the mean in a data set?
Back
The mean is the average of all data points in a set, calculated by dividing the sum of all values by the number of values.
Tags
CCSS.6.SP.B.5C
3.
FLASHCARD QUESTION
Front
What does standard deviation measure?
Back
Standard deviation measures the amount of variation or dispersion in a set of values. A low standard deviation means that the values tend to be close to the mean, while a high standard deviation means that the values are spread out over a wider range.
4.
FLASHCARD QUESTION
Front
What is the empirical rule in statistics?
Back
The empirical rule states that for a normal distribution, approximately 68% of the data falls within one standard deviation of the mean, about 95% falls within two standard deviations, and about 99.7% falls within three standard deviations.
Tags
CCSS.HSS.ID.A.4
5.
FLASHCARD QUESTION
Front
What is skewness in a distribution?
Back
Skewness refers to the asymmetry of the distribution of values in a dataset. A right-skewed distribution has a longer tail on the right side, while a left-skewed distribution has a longer tail on the left side.
6.
FLASHCARD QUESTION
Front
How do you calculate the z-score?
Back
The z-score is calculated by subtracting the mean from the value and then dividing by the standard deviation: z = (X - μ) / σ.
7.
FLASHCARD QUESTION
Front
What is variance?
Back
Variance is a measure of how far a set of numbers are spread out from their average value. It is the average of the squared differences from the mean.
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