Q2 Normal Standard Distribution and Standard Normal Distribution

Which of the following is a key feature of a normal distribution?

• It is always skewed.

• The mean, median, and mode are different.

• It is symmetric about the mean.

• The curve is flat.

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CCSS.HSS.ID.A.3

What is the mean of a standard normal distribution?

• 0

• 1

• 2

• Depends on the data

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CCSS.HSS.MD.A.2

CCSS.HSS.MD.A.3

In a normal distribution, approximately what percentage of data lies within 1 standard deviation of the mean?

• 50%

• 68%

• 95%

• 99.7%

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CCSS.HSS.ID.A.4

If a data point has a z-score of 2, how many standard deviations is it from the mean?

• 1

• 2

• 3

• 0

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CCSS.HSS.ID.A.4

Which of the following is the formula for calculating a z-score?

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CCSS.HSS.ID.A.4

What is the total area under a normal distribution curve?

• 0.5

• 1

• 2

• Depends on the standard deviation

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CCSS.HSS.ID.A.4

Which of the following statements is true about the tails of a normal distribution?

• They are finite.

• They extend indefinitely.

• They are always above the x-axis.

• They are always below the x-axis.

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CCSS.HSS.ID.A.4

In a normal distribution, what is the probability of a data point being exactly at the mean?

• 0

• 0.5

• 1

• Depends on the standard deviation

Which of the following is not a property of a normal distribution?

• It is bell-shaped.

• It is symmetric.

• It has a mean of 0 and standard deviation of 1.

• It is skewed to the right.

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CCSS.HSS.ID.A.4

What happens to the shape of a normal distribution as the standard deviation increases?

• It becomes narrower.

• It becomes wider.

• It becomes skewed.

• It remains unchanged.

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CCSS.HSS.ID.A.4