The Normal Distribution

What shape is a normal distribution curve?

• Half curve
• Round curve
• Bell curve
• Square curve

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CCSS.HSS.ID.A.2

CCSS.HSS.ID.A.3

What is the the total area under the standard normal distribution curve?

• 100
• 25
• .5
• 1

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CCSS.HSS.ID.A.4

Which one of the following is a FALSE statement about the standard normal curve?

• Its standard deviation varies.
• It is bell-shaped
• It is symmetric around 0.
• Its mean is constant at 0.

In a normal distribution, the mean, median and mode are

• within 1 standard deviation

• very similar

• within 0.1%

• equal

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CCSS.HSS.ID.A.3

CCSS.HSS.ID.A.4

According to the empirical rule, what percentage of data falls within 1 standard deviation? 

• 25%
• 68%
• 95%
• 99.7%

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CCSS.HSS.ID.A.4

What percentage of scores falls within 3 standard deviations of the mean?

• 68%

• 34%

• 99.7%

• 95%

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CCSS.HSS.ID.A.4

Find the area under the standard normal curve that lies to the left of z=2.1.

• 1.79%

• -1.79%

• 98.21%

• 0.98%

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CCSS.HSS.ID.A.4

Find the area under the standard normal curve that lies between z=-0.5 and z=1.5.

• 62.46%

• 72.47%

• 5.40%

• 62.47%

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CCSS.HSS.ID.A.4

Find the z-score with 20% of observations falling above it.

• z=-0.84

• z=1.84

• z=-1.84

• z=0.84

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CCSS.HSS.ID.A.4

If you had to guess the probability of the gray area, which would you choose?

• 0.1

• 0.4

• 0.6

• 0.8

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CCSS.HSS.CP.A.1

CCSS.HSS.IC.B.4

CCSS.HSS.MD.A.1