Empirical Rule

Front

What is the Empirical Rule?

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.

Tags

CCSS.HSS.ID.A.4

Front

What percentage of data falls within one standard deviation of the mean in a normal distribution?

Back

68%.

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CCSS.HSS.ID.A.4

Front

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

Back

95%.

Tags

CCSS.HSS.ID.A.4

Front

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

Back

99.7%.

Tags

CCSS.HSS.ID.A.4

Front

What is the total area under the standard normal distribution curve?

Back

1.

Front

If a data point is at the mean, how many standard deviations away is it?

Back

0 standard deviations.

Front

What does it mean if a data point is two standard deviations above the mean?

Back

It means the data point is higher than approximately 95% of the data in a normal distribution.

Tags

CCSS.HSS.ID.A.4

Front

What is the significance of the 5% in the context of the Empirical Rule?

Back

The 5% represents the total area in the tails of the distribution beyond two standard deviations from the mean.

Tags

CCSS.HSS.ID.A.4

Front

What is the mean in a normal distribution?

Back

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

Tags

CCSS.6.SP.B.5D

CCSS.HSS.ID.A.2

Front

What is standard deviation?

Back

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