Empirical rule Quiz

At a local high school, GPA's are normally distributed with a mean of 2.9 and standard deviation of 0.6. What percentage of students at the high school have a GPA between 2.3 and 3.5?

• 68%
• 99.7%
• 95%
• 84%

Tags

CCSS.HSS.ID.A.4

The mean life of a tire is 30,000 km. The standard deviation is 2000 km.

Then, 68% of all tires will have a life between ___________ km and __________ km.

•  28,000 km and 32,000 km.
• 24,000 km and 34,000 km.
• 26,000 km and 34,000 km.
• 27,000 km and 31,000 km.

Tags

CCSS.HSS.ID.A.4

The shelf life of a particular dairy product is normally distributed with a mean of 12 days and a standard deviation of 3 days.

About what percent of the products last between 12 and 15 days?

• 68%
• 34%
• 16%
• 2.5%

Tags

CCSS.HSS.ID.A.4

Students pass a test if they score 50% or more.
The marks of a large number of students were sampled and the mean and standard deviation were calculated as 42% and 8% respectively.
Assuming this data is normally distributed, what percentage of students pass the test?

• 5
• 16
• 24
• 32

Tags

CCSS.HSS.ID.A.4

For a normal distribution what percent of the data is within  $1\sigma$  of the mean?

• 34%

• 68%

• 13.5%

• 99.7%

Tags

CCSS.HSS.ID.A.4

For a normal distribution what percent of the data is within  $2\sigma$  of the mean?

• 34%

• 68%

• 84%

• 95%

Tags

CCSS.HSS.ID.A.4

For a normal distribution what percent of the data is within  $3\sigma$  of the mean?

• 99.7%

• 68%

• 13.5%

• 95%

Tags

CCSS.HSS.ID.A.4

For a normal distribution, what proportion of the data is between the mean and one standard deviation above the mean?

• 0.25

• 0.68

• 0.5

• 0.34

Tags

CCSS.HSS.ID.A.4

For a normal distribution, what proportion of the data is above the mean?

• 0.84

• 0.68

• 0.95

• 0.5

Tags

CCSS.HSS.ID.A.4

Highest point of the curve, the center, represents the _?

• μ

• δ

• Σ

• Ζ

Tags

CCSS.HSS.ID.A.4