Normal Distribution -empirical rule
Flashcard
•
Mathematics
•
9th - 10th Grade
•
Practice Problem
•
Hard
Wayground Content
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the total area under the standard normal distribution curve?
Back
1
2.
FLASHCARD QUESTION
Front
What is the empirical rule in relation to normal distribution?
Back
Approximately 68% of data falls within one standard deviation of the mean, 95% within two standard deviations, and 99.7% within three standard deviations.
3.
FLASHCARD QUESTION
Front
Given a mean of 75 and a standard deviation of 7, how many students out of 500 would score between 68 and 82?
Back
340
4.
FLASHCARD QUESTION
Front
What percent of men are between 64 and 66.5 inches tall if the distribution of heights of adult American men is approximately Normal with mean 69 inches and standard deviation 2.5 inches?
Back
13.5%
5.
FLASHCARD QUESTION
Front
What is the Normal Range (68%) of the annual precipitation for Phoenix, if the average is 29 with a standard deviation of 3?
Back
26-32
6.
FLASHCARD QUESTION
Front
Define 'mean' in the context of normal distribution.
Back
The mean is the average value of a set of data, representing the center of the distribution.
7.
FLASHCARD QUESTION
Front
Define 'standard deviation' in the context of normal distribution.
Back
Standard deviation measures the amount of variation or dispersion in a set of values.
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