Normal Distribution Calculations

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CCSS.HSS.ID.A.4

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CCSS.HSS.ID.A.4

According to the empirical rule, how much of the data falls within 3 standard deviations? 

• 25%
• 68%
• 95%
• 99.7%

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CCSS.HSS.ID.A.4

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

• 68%

• 81.5%

• 16%

• 34%

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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?

• 25%

• 68%

• 95%

• 99.7%

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CCSS.HSS.ID.A.4

35 is

• mean

• variance

• standard deviation

• 1st quartile

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CCSS.HSS.ID.A.4

CCSS.HSS.ID.A.2

CCSS.HSS.ID.A.3

CCSS.HSS.MD.A.2

What is the standard deviation on this Normal Curve?

• 6

• 12

• 34

• 18

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CCSS.HSS.ID.A.4

CCSS.HSS.ID.A.2

What is the value of the mean on this Normal Curve?

• 6

• 34

• 52

• 70

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CCSS.HSS.ID.A.2

CCSS.6.SP.B.5D

Use the following information and the Empirical Rule to estimate the answer.

The ages of golfers are normally distributed, with a mean of 38 and a standard deviation of 4.

Find the percentage of golfers that are between 30 and 46 years old.

• 68%

• 94%

• 95%

• 99.7%

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CCSS.HSS.ID.A.4

The mean number of accidents a week at a company is 6.4 with a standard deviation of 1.5.  What proportion of weeks would you expect to have less than 5 accidents?

• 0.6915
• 0.1762
• 0.8238
• -0.93

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CCSS.HSS.ID.A.4