Front

What is the empirical rule in statistics?

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.

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CCSS.HSS.ID.A.4

Front

What percentage of data falls within 1 standard deviation of the mean according to the empirical rule?

Back

68%

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CCSS.HSS.ID.A.4

Front

What is the normal range (68%) of annual precipitation for Phoenix with an average of 29 and a standard deviation of 3?

Back

26-32

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CCSS.HSS.ID.A.4

Front

Between what two standard deviations of a normal distribution does 68% of the data lie?

Back

One below and one above the mean.

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CCSS.HSS.ID.A.4

Front

Given a mean of 75 and a standard deviation of 7, what percentage of scores are between 75 and 82?

Back

34%

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CCSS.HSS.ID.A.4

Front

What does a normal distribution curve represent?

Back

A normal distribution curve represents 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 is the mean in a normal distribution?

Back

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

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CCSS.6.SP.B.5D

CCSS.HSS.ID.A.2

Front

What is a standard deviation?

Back

A standard deviation is a measure of the amount of variation or dispersion in a set of values.

Front

What does it mean if data is normally distributed?

Back

If data is normally distributed, it means that it follows a bell-shaped curve where most of the observations cluster around the central peak and probabilities for values further away from the mean taper off equally in both directions.

Front

What is the significance of the area under the normal distribution curve?

Back

The area under the normal distribution curve represents the total probability of all outcomes, which equals 1.

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CCSS.HSS.MD.A.4