Normal Distribution with Percents

What shape is a normal distribution curve?

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

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CCSS.HSS.ID.A.3

Find the area of the shaded region.

• 16%

• 84%

• 68%

• 34%

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CCSS.HSS.ID.A.4

CCSS.HSS.MD.A.3

Find the area of the shaded region.

• 16%

• 84%

• 68%

• 34%

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CCSS.HSS.ID.A.4

Where can we locate the mean in the normal curve?

• to the left portion

• to the right portion

• at the center

• on the z - axis

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CCSS.HSS.ID.A.4

This data is normally distributed.  What percent of the data is in the shaded region?

• 68%
• 95%
• 99.7%
• 50%

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CCSS.HSS.ID.A.4

This data is normally distributed.  What percent of the data is in the shaded region?

• 68%
• 95%
• 99.7%
• 50%

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CCSS.HSS.ID.A.4

CCSS.HSS.ID.A.2

Scores on a certain standardized test have a mean of 500, and a standard deviation of 100. How common is a score between 600 and 700? Calculate the probability. 

• 2.5%
• 2.35%
• 16%
• 13.5%

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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

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 mean temperature in Glens Falls for the month of February is 23 degrees with a standard deviation of 4.2 degrees.  Approximately what percent of days in February will have days below 23 degrees?

• 5%
• 34%
• 50%
• 68%

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CCSS.HSS.ID.A.4