Normal Distribution and the Empirical Rule Explained

If the mean blood pressure is 120 and the standard deviation is 10, what is the blood pressure range that covers 95% of the data?

• 100 to 140

• 110 to 130

• 90 to 150

• 85 to 135

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CCSS.HSS.ID.A.4

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

• 50%

• 95%

• 68%

• 99.7%

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CCSS.HSS.ID.A.4

For a normally distributed data set, what is the range covering 99.7% of data if the mean is 120 and standard deviation is 10?

• 80 to 160

• 90 to 150

• 100 to 140

• 110 to 130

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CCSS.HSS.ID.A.4

What is the commute time range for Anna that includes 68% of her commutes if the mean time is 51 minutes?

• 46 to 56 minutes

• 41 to 61 minutes

• 48 to 54 minutes

• 45 to 57 minutes

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CCSS.HSS.ID.A.4

If the mean is 100 and the standard deviation is 15, what percentage of data lies between 85 and 115?

• 68%

• 95%

• 99.7%

• 50%

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CCSS.HSS.ID.A.4

In a test score distribution, if 75 is two standard deviations above the mean, what is the mean if the score 30 is three deviations below?

• 57

• 55

• 50

• 45

What is the standard deviation if the scores 75 and 30 are five standard deviations apart?

• 10

• 8

• 9

• 7

What is the mean if a score of 75 is two standard deviations above it and a score of 30 is three below?

• 45

• 50

• 55

• 57

Given a normal distribution where a score of 65 is two standard deviations above the mean, what is the mean if a score of 35 is three deviations below?

• 53

• 45

• 50

• 55

Tags

CCSS.HSS.ID.A.4

If the interval between 65 and 35 covers five standard deviations, what is the standard deviation?

• 8

• 7

• 5

• 6