Exploring the Empirical Rule in Normal Distributions

What type of distribution does the empirical rule apply to?

• Skewed distribution

• Normal distribution

• Uniform distribution

• Bimodal distribution

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CCSS.HSS.ID.A.4

According to the empirical rule, what percentage of data falls within 1 standard deviation of the mean?

• 34%

• 68%

• 99.7%

• 95%

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CCSS.HSS.ID.A.4

How much area is on either side of the mean within 1 standard deviation?

• 16%

• 47.5%

• 68%

• 34%

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CCSS.HSS.ID.A.4

What percentage of data falls within 2 standard deviations of the mean?

• 34%

• 99.7%

• 95%

• 68%

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CCSS.HSS.ID.A.4

If 95% of data falls within 2 standard deviations, what percentage is in each tail?

• 2.5%

• 34%

• 5%

• 16%

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CCSS.HSS.ID.A.4

In a distribution with a mean of 60 and standard deviation of 5, what is the value 2 standard deviations above the mean?

• 65

• 55

• 70

• 75

What is the percentage of scores between 50 and 70 in the given example?

• 99.7%

• 68%

• 95%

• 34%

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CCSS.HSS.ID.A.4

What is the percentage of scores between 60 and 65 in the example?

• 68%

• 47.5%

• 34%

• 16%

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CCSS.HSS.ID.A.4

What is the percentage of scores greater than 65 in the example?

• 16%

• 47.5%

• 68%

• 34%

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CCSS.HSS.ID.A.4

What is the percentage of scores below 70 in the example?

• 83.85%

• 99.7%

• 97.5%

• 95%

Tags

CCSS.HSS.ID.A.4