Empirical Rule-Find Percentages Given Interval.

A distribution is normally distributed. What percent of the data falls within one standard deviation of the mean?

• 68%

• 95%

• 99.7%

• Not enough information.

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CCSS.HSS.ID.A.4

A distribution is normally distributed. What percent of the data falls within two standard deviations of the mean?

• 68%

• 95%

• 99.7%

• Not enough information.

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CCSS.HSS.ID.A.4

A distribution is normally distributed. What percent of the data falls within three standard deviations of the mean?

• 68%

• 95%

• 99.7%

• Not enough information.

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CCSS.HSS.ID.A.4

A distribution is normally distributed. What percent of the data falls OUTSIDE three standard deviations of the mean?

• 99.7%

• 5%

• 3%

• 0.3%

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CCSS.HSS.ID.A.4

What percent of the data falls between

 $\mu$   and  $1\sigma$  ?

• 68%

• 34%

• 47.5%

• 25%

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CCSS.HSS.ID.A.4

What percent of the data falls between

 $\mu$   and  $2\sigma$  ?

• 95%

• 50%

• 47.5%

• 33%

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CCSS.HSS.ID.A.4

What percent of the data falls between

 $-1\sigma$   and  $2\sigma$  ?

• 75%

• 50%

• 47.5%

• 81.5%

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CCSS.HSS.ID.A.4

What percent of the data falls BELOW 

 $3\sigma$  ?

• 99.7%

• 99.85%

• 0.15%

• 95%

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CCSS.HSS.ID.A.4

What percent of the data falls BELOW the mean?

• 50%

• 49.85%

• 68%

• 33%

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CCSS.HSS.ID.A.4

What percent of the data falls ABOVE  $2\sigma$  ?

• 2.5%

• 5%

• 95%

• 97.5%

Tags

CCSS.HSS.ID.A.4