68-95-99.7 Rule (Empirical Rule)
Flashcard
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Mathematics
•
12th Grade
•
Hard
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the 68-95-99.7 Rule?
Back
The 68-95-99.7 Rule, also known as the Empirical Rule, states that for a normal distribution: 68% of data falls within one standard deviation of the mean, 95% falls within two standard deviations, and 99.7% falls within three standard deviations.
Tags
CCSS.HSS.ID.A.4
2.
FLASHCARD QUESTION
Front
What percentage of data falls within one standard deviation of the mean in a normal distribution?
Back
68% of the data falls within one standard deviation of the mean.
Tags
CCSS.HSS.ID.A.4
3.
FLASHCARD QUESTION
Front
What percentage of data falls within two standard deviations of the mean in a normal distribution?
Back
95% of the data falls within two standard deviations of the mean.
Tags
CCSS.HSS.ID.A.4
4.
FLASHCARD QUESTION
Front
What percentage of data falls within three standard deviations of the mean in a normal distribution?
Back
99.7% of the data falls within three standard deviations of the mean.
Tags
CCSS.HSS.ID.A.4
5.
FLASHCARD QUESTION
Front
If a GPA is normally distributed with a mean of 2.9 and a standard deviation of 0.6, what percentage of students have a GPA between 2.3 and 3.5?
Back
68% of students have a GPA between 2.3 and 3.5.
Tags
CCSS.HSS.ID.A.4
6.
FLASHCARD QUESTION
Front
In a normal distribution, what does it mean if data is one standard deviation above the mean?
Back
It means that the data point is greater than the mean by the amount of the standard deviation, indicating it is higher than approximately 68% of the data.
Tags
CCSS.HSS.ID.A.4
7.
FLASHCARD QUESTION
Front
For a machine producing components with lengths normally distributed, if 99.7% of components are between 1.176 cm and 1.224 cm, what are the mean and standard deviation?
Back
Mean = 1.200 cm, Standard Deviation = 0.008 cm.
Tags
CCSS.HSS.ID.A.4
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