Normal Distributions (Empirical Rule)
Flashcard
•
Mathematics
•
10th Grade
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
What is a normal distribution?
Back
A normal distribution is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.
2.
FLASHCARD QUESTION
Front
What is the Empirical Rule?
Back
The Empirical Rule states that for a normal distribution: about 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.
3.
FLASHCARD QUESTION
Front
What percentage of data lies within ±1 standard deviation in a normal distribution?
Back
68% of the data.
4.
FLASHCARD QUESTION
Front
What percentage of data lies within ±2 standard deviations in a normal distribution?
Back
95% of the data.
5.
FLASHCARD QUESTION
Front
What percentage of data lies outside of ±3 standard deviations in a normal distribution?
Back
0.3% of the data.
6.
FLASHCARD QUESTION
Front
If the mean is 15 and the standard deviation is 3, what is the interval that contains 95% of the data?
Back
9 to 21.
7.
FLASHCARD QUESTION
Front
How do you calculate the interval for ±1 standard deviation from the mean?
Back
Mean ± 1(Standard Deviation). For a mean of 15 and standard deviation of 3, the interval is 12 to 18.
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