Empirical Rule
Flashcard
•
Mathematics
•
12th Grade
•
Hard
Standards-aligned
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15 questions
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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, 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
What percentage of data falls within 1 standard deviation of the mean in a normal distribution?
Back
Approximately 68%.
Tags
CCSS.HSS.ID.A.4
3.
FLASHCARD QUESTION
Front
What percentage of data falls within 2 standard deviations of the mean in a normal distribution?
Back
Approximately 95%.
Tags
CCSS.HSS.ID.A.4
4.
FLASHCARD QUESTION
Front
What percentage of data falls within 3 standard deviations of the mean in a normal distribution?
Back
Approximately 99.7%.
Tags
CCSS.HSS.ID.A.4
5.
FLASHCARD QUESTION
Front
If the mean weight of concrete is 1150 pounds and the standard deviation is 22 pounds, what is the weight range for approximately 95% of molds?
Back
The weight range is approximately 1106 to 1194 pounds.
Tags
CCSS.HSS.ID.A.4
6.
FLASHCARD QUESTION
Front
What is the weight range for approximately 68% of molds if the mean is 1150 pounds and the standard deviation is 22 pounds?
Back
The weight range is approximately 1128 to 1172 pounds.
Tags
CCSS.HSS.ID.A.4
7.
FLASHCARD QUESTION
Front
What is the area under the normal distribution curve between 1 and 2 standard deviations from the mean?
Back
Approximately 13.5%.
Tags
CCSS.HSS.ID.A.4
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