Exploring Normal Distribution and the Empirical Rule

What is another name for the empirical rule?

• 20-40-60 rule

• 68-95-99.7 rule

• 50-75-90 rule

• 30-60-90 rule

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CCSS.HSS.ID.A.4

What shape does a normal distribution curve have?

• V-shaped

• Flat

• U-shaped

• Bell-shaped

In a normal distribution, what does the Greek letter 'mu' (μ) represent?

• Mean

• Median

• Mode

• Standard Deviation

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CCSS.6.SP.B.5D

CCSS.HSS.ID.A.2

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

• 68%

• 95%

• 99.7%

• 50%

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CCSS.HSS.ID.A.4

How much data is within two standard deviations of the mean in a normal distribution?

• 50%

• 99.7%

• 95%

• 68%

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CCSS.HSS.ID.A.4

What is the percentage of data within three standard deviations of the mean?

• 68%

• 50%

• 99.7%

• 95%

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CCSS.HSS.ID.A.4

If the mean height of US males is 69 inches with a standard deviation of 2.8 inches, what is the height at one standard deviation above the mean?

• 77.4 inches

• 74.6 inches

• 66.2 inches

• 71.8 inches

Using the empirical rule, what percentage of men have heights greater than 71.8 inches?

• 68%

• 34%

• 95%

• 16%

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CCSS.HSS.ID.A.4

What is the height range that encompasses the middle 95% of men?

• 65 to 75 inches

• 60 to 80 inches

• 66.2 to 71.8 inches

• 63.4 to 74.6 inches

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CCSS.HSS.ID.A.4

What percentile does a height of 71.8 inches correspond to?

• 84th percentile

• 50th percentile

• 95th percentile

• 99.7th percentile

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CCSS.HSS.ID.A.4