68-95-99.7 Rule (Empirical Rule)
Flashcard
•
Mathematics
•
10th Grade
•
Practice Problem
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the 68-95-99.7 Rule (Empirical Rule)?
Back
The 68-95-99.7 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 percentage of data falls within one standard deviation of the mean in a normal distribution?
Back
Approximately 68%.
3.
FLASHCARD QUESTION
Front
What percentage of data falls within two standard deviations of the mean in a normal distribution?
Back
Approximately 95%.
4.
FLASHCARD QUESTION
Front
What percentage of data falls within three standard deviations of the mean in a normal distribution?
Back
Approximately 99.7%.
5.
FLASHCARD QUESTION
Front
If a normal distribution has a mean of 100 and a standard deviation of 10, what is the interval that contains approximately 95% of the data?
Back
The interval is from 80 to 120.
6.
FLASHCARD QUESTION
Front
In a normal distribution, how do you calculate the interval for 95% of the data?
Back
You take the mean and subtract/add two times the standard deviation.
7.
FLASHCARD QUESTION
Front
What is the z-score for a value that is one standard deviation above the mean?
Back
The z-score is +1.
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