Normal Distribution

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.

Front

What does the mean represent in a normal distribution?

Back

The mean is the average of all data points in a normal distribution and is the center point of the distribution.

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CCSS.6.SP.B.5D

CCSS.HSS.ID.A.2

Front

What is the standard deviation in a normal distribution?

Back

The standard deviation measures the amount of variation or dispersion of a set of values in a normal distribution.

Front

What is the shape of a normal distribution curve?

Back

The shape of a normal distribution curve is bell-shaped and symmetrical.

Front

What is the total area under the normal distribution curve?

Back

The total area under the normal distribution curve is equal to 1.

Front

What does the empirical rule state about data within one standard deviation?

Back

According to the empirical rule, approximately 68% of the data falls within one standard deviation of the mean in a normal distribution.

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CCSS.HSS.ID.A.4

Front

What percentage of data falls within two standard deviations in a normal distribution?

Back

Approximately 95% of the data falls within two standard deviations of the mean.

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CCSS.HSS.ID.A.4

Front

What percentage of data falls within three standard deviations in a normal distribution?

Back

Approximately 99.7% of the data falls within three standard deviations of the mean.

Tags

CCSS.HSS.ID.A.4

Front

What is a z-score?

Back

A z-score indicates how many standard deviations an element is from the mean of the distribution.

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.