Empirical Rule and Normal Distributions Flashcard
Flashcard
•
Mathematics
•
11th Grade
•
Hard
+1
Standards-aligned
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15 questions
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1.
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
2.
FLASHCARD QUESTION
Front
In a normal distribution, what percentage of data lies below the mean?
Back
50% of the data lies below the mean in a normal distribution.
Tags
CCSS.6.SP.A.2
3.
FLASHCARD QUESTION
Front
If the mean of a normally distributed set of scores is 100 and the standard deviation is 10, what percentage of scores lies between 90 and 110?
Back
Approximately 68% of scores lie between 90 and 110.
Tags
CCSS.HSS.ID.A.4
4.
FLASHCARD QUESTION
Front
How do you calculate the percentage of data that lies above a certain value in a normal distribution?
Back
To calculate the percentage of data above a certain value, you can use the z-score formula and refer to the standard normal distribution table.
Tags
CCSS.HSS.ID.A.4
5.
FLASHCARD QUESTION
Front
What is a z-score?
Back
A z-score indicates how many standard deviations an element is from the mean. It is calculated as (X - mean) / standard deviation.
6.
FLASHCARD QUESTION
Front
What does it mean if a distribution is skewed to the right?
Back
A right-skewed distribution has a longer tail on the right side, indicating that there are a larger number of lower values and fewer higher values.
7.
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 also the center of the distribution.
Tags
CCSS.6.SP.B.5D
CCSS.HSS.ID.A.2
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