Empirical Rule and Normal Distribution

What is the average distrance from the mean of a normal distribution called?

• standard deviation

• variance

• median

• mean

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CCSS.HSS.ID.A.2

CCSS.HSS.ID.A.4

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

• 68%

• 50%

• 75%

• 90%

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CCSS.HSS.ID.A.4

According to the 68-95-99.7 rule, what percentage of data falls within two standard deviations of the mean in a normal distribution?

• 95%

• 90%

• 99.7%

• 68%

Tags

CCSS.HSS.ID.A.4

What is the formula to calculate the z-score?

• (x - μ) / σ

• (x - μ) * σ

• (x + μ) * σ

• (x + μ) / σ

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CCSS.HSS.ID.A.4

What does a positive z-score indicate?

• Below the mean

• Equal to the mean

• Negative z-score

• Above the mean

Tags

CCSS.HSS.ID.A.4

What does a negative z-score indicate?

• Below the mean

• Equal to the mean

• Above the mean

• Greater than the mean

Tags

CCSS.HSS.ID.A.4

What is the area under the curve of a probability density function (PDF) equal to?

• 0

• 2

• 10

• 1

What is the total area under the density curve in a normal distribution?

• 2

• 0

• 10

• 1

Tags

CCSS.HSS.ID.A.4

What is the shape of a normal distribution?

• circular

• rectangular

• triangular

• bell-shaped

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CCSS.HSS.ID.A.3

CCSS.HSS.ID.A.4