What is a normal distribution?
Normal Distributions

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Mathematics
•
10th - 12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
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 are the key characteristics of a normal distribution?
Back
1. Symmetrical shape. 2. Mean, median, and mode are all equal. 3. The total area under the curve is 1. 4. Approximately 68% of data falls within one standard deviation of the mean.
3.
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 - μ) / σ, where X is the value, μ is the mean, and σ is the standard deviation.
4.
FLASHCARD QUESTION
Front
How do you calculate a z-score?
Back
Z-score = (X - μ) / σ, where X is the value, μ is the mean, and σ is the standard deviation.
5.
FLASHCARD QUESTION
Front
What does a positive z-score indicate?
Back
A positive z-score indicates that the value is above the mean.
6.
FLASHCARD QUESTION
Front
What does a negative z-score indicate?
Back
A negative z-score indicates that the value is below the mean.
7.
FLASHCARD QUESTION
Front
What percentage of data falls within one standard deviation of the mean in a normal distribution?
Back
Approximately 68% of the data falls within one standard deviation of the mean.
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