Normal distribution
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
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15 questions
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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 mean in a normal distribution?
Back
The mean is the average of all data points in a normal distribution, and it is located at the center of the distribution.
3.
FLASHCARD QUESTION
Front
What is the standard deviation in a normal distribution?
Back
The standard deviation is a measure of the amount of variation or dispersion in a set of values. In a normal distribution, it determines the width of the curve.
4.
FLASHCARD QUESTION
Front
What does the empirical rule state?
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.
5.
FLASHCARD QUESTION
Front
What percentage of data falls within 1 standard deviation of the mean in a normal distribution?
Back
Approximately 68%.
6.
FLASHCARD QUESTION
Front
What is a z-score?
Back
A z-score indicates how many standard deviations an element is from the mean. It is calculated as (X - mean) / standard deviation.
7.
FLASHCARD QUESTION
Front
What is the area under the curve in a normal distribution?
Back
The total area under the curve of a normal distribution is equal to 1, representing the total probability of all outcomes.
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