8.2 Normal Distribution

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Mathematics
•
9th Grade - University
•
Hard
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1.
FLASHCARD QUESTION
Front
What is the mean (μ) in a normal distribution?
Back
The mean (μ) is the average value of a set of data points in a normal distribution, representing the center of the distribution.
2.
FLASHCARD QUESTION
Front
What is the standard deviation (σ) in a normal distribution?
Back
The standard deviation (σ) measures the dispersion or spread of data points around the mean in a normal distribution.
3.
FLASHCARD QUESTION
Front
How do you calculate the z-score?
Back
The z-score is calculated using the formula: z = (X - μ) / σ, where X is the value, μ is the mean, and σ is the standard deviation.
4.
FLASHCARD QUESTION
Front
What does a z-score of -2.5 indicate?
Back
A z-score of -2.5 indicates that the data value is 2.5 standard deviations below the mean.
5.
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 (μ ± σ) of the mean.
6.
FLASHCARD QUESTION
Front
What percentage of data falls within two standard deviations of the mean in a normal distribution?
Back
Approximately 95% of the data falls within two standard deviations (μ ± 2σ) of the mean.
7.
FLASHCARD QUESTION
Front
What percentage of data falls within three standard deviations of the mean in a normal distribution?
Back
Approximately 99.7% of the data falls within three standard deviations (μ ± 3σ) of the mean.
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