Empirical Rule
Flashcard
•
Mathematics
•
12th Grade
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
What is the Empirical Rule?
Back
The Empirical Rule states that for a normal distribution, approximately 68% of the data falls within one standard deviation of the mean, 95% falls within two standard deviations, and 99.7% falls within three standard deviations.
2.
FLASHCARD QUESTION
Front
What type of data can the Empirical Rule be applied to?
Back
The Empirical Rule can only be applied to data that is normally distributed.
3.
FLASHCARD QUESTION
Front
What shape does a normal distribution curve have?
Back
A normal distribution curve has a bell shape.
4.
FLASHCARD QUESTION
Front
If the mean is 15 and the standard deviation is 3, what is the interval that contains 99.7% of the data?
Back
The interval is from 6 to 24.
5.
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.
6.
FLASHCARD QUESTION
Front
What percentage of data falls between the mean and one standard deviation above the mean in a normal distribution?
Back
Approximately 34% of the data falls between the mean and one standard deviation above the mean.
7.
FLASHCARD QUESTION
Front
If the mean shelf life of a dairy product is 12 days and the standard deviation is 3 days, what is the interval that contains 95% of the products?
Back
The interval is from 6 to 18 days.
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