Intro to 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.3

The z-score represents.....

• the amount of standard deviations a data value is above or below the mean.
• the percentile the data value is above or below the mean.
• the amount of standard deviations a data value is above or below the median.
• the percent the data value is above or below the mean.

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CCSS.HSS.ID.A.4

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 is NOT true about the standard normal distribution?

• It is bell-shaped.
• It is unimodal.
• The mean is 0 and the standard deviation is 1.
• It is asymmetrical.

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CCSS.HSS.ID.A.2

CCSS.HSS.ID.A.3

CCSS.HSS.ID.A.4

Find the area of the shaded region. 

• 0.16
• 0.84
• 0.68
• 0.34

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CCSS.HSG.GMD.A.1

CCSS.HSG.MG.A.1

Find the area of the shaded region. 

• 0.16
• 0.84
• 0.68
• 0.34

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CCSS.HSS.ID.A.4

Find the area of the shaded region. 

• 0.16
• 0.84
• 0.68
• 0.34

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CCSS.HSS.ID.A.4

What's the probability of the gray area?

(Mean = 55, Standard dev = 2.5)

• 0.8185

• 0.8413

• 0.8641

• 0.8389

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CCSS.HSS.ID.A.4

CCSS.HSS.MD.A.3

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.

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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%

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CCSS.HSS.ID.A.4