Empirical Rule Practice

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

• 95%

• 50%

• 30%

• 68%

Tags

CCSS.HSS.IC.B.4

CCSS.HSS.ID.A.4

In a normal distribution, what percentage of data falls within two standard deviations of the mean based on the empirical rule?

• 95%

• 90%

• 99%

• 80%

Tags

CCSS.HSS.ID.A.4

According to the empirical rule, what percentage of data falls within three standard deviations of the mean in a normal distribution?

• 90%

• 85%

• 95%

• 99.7%

Tags

CCSS.HSS.ID.A.4

If the mean of a data set is 50 and the standard deviation is 5, what range of values would fall within one standard deviation of the mean?

• 35 to 65

• 40 to 60

• 48 to 52

• 45 to 55

Tags

CCSS.HSS.ID.A.4

For a data set with a mean of 75 and a standard deviation of 10, what interval would encompass approximately 68% of the data based on the empirical rule?

• 55 to 75

• 65 to 85

• 70 to 90

• 80 to 100

Tags

CCSS.HSS.ID.A.4

In a normal distribution with a mean of 100 and a standard deviation of 15, what range of values would contain about 95% of the data according to the empirical rule?

• 50 to 170

• 60 to 140

• 85 to 115

• 70 to 130

Tags

CCSS.HSS.ID.A.4

If the mean of a data set is 120 and the standard deviation is 20, what values would fall within three standard deviations of the mean based on the empirical rule?

• Values between 80 and 160

• Values between 40 and 200

• Values between 60 and 180

• Values between 100 and 140

Tags

CCSS.HSS.ID.A.4

For a data set with a mean of 90 and a standard deviation of 12, what interval would encompass roughly 99.7% of the data according to the empirical rule?

• 60 to 120

• 75 to 105

• 80 to 110

• 54 to 126

Tags

CCSS.HSS.ID.A.4

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

• 90%

• 50%

• 68%

• 80%

Tags

CCSS.HSS.ID.A.4

If the mean of a data set is 80 and the standard deviation is 6, what range of values would encompass about 99.7% of the data based on the empirical rule?

• 70 to 90

• 80 to 100

• 62 to 98

• 50 to 70

Tags

CCSS.HSS.ID.A.4