More practice on basic normal distribution (5.1)

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 normal distribution curve?

• It is bell-shaped.

• The mean, median, and mode are approximately equal

• The smaller the standard deviation, the less spread in the curve.

• It is asymmetrical.

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CCSS.HSS.ID.A.4

What is the Normal Range (68%) of the annual precipitation for Phoenix, if the average is 29 inches with a standard deviation of 3 inches? (You may need to draw and label a normal curve.)

• 26-32
• 3-29
• 26-29
• 39-32

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CCSS.HSS.ID.A.4

Given a mean of 75 and a standard deviation of 7, what percentage of scores are above 82?

(You may need to draw and label a normal curve.)

• 34%

• 81.5%

• 16%

• 2.5%

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CCSS.HSS.ID.A.4

The distribution of heights of adult American men is approximately Normal with mean 69 inches and standard deviation 2.5 inches. What percent of men are between 64 and 66.5 inches tall? 

(You may need to draw and label a normal curve.)

• 50%
• 2.5%
• 13.5%
• 34%

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CCSS.HSS.ID.A.4

What is the the total probability under the normal distribution curve?

• 10%

• 25%

• .5%

• 100%

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CCSS.HSS.ID.A.4

The normal curve is symmetrical about the mean.

• True
• False

Between what two standard deviations of a normal distribution lies 68% of the data?

• one below and one above

• two below and two above

• two below and zero

• zero and two above

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CCSS.HSS.ID.A.4

Between what two standard deviations of a normal distribution lies 95% of the data?

• one below and one above

• two below and two above

• two below and zero

• zero and two above

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CCSS.HSS.ID.A.4

In a factory, the weight of the concrete poured into a mold by a machine follows a normal distribution with a mean of 1150 pounds and a standard deviation of 22 pounds. Approximately 95% of molds filled by this machine will hold weights in what interval? (You may need to draw and label a normal curve.)

• 1084 to 1216 pounds 
• 1106 to 1150 pounds 
• 1106 to 1194 pounds 
• 1128 to 1172 pounds

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CCSS.HSS.ID.A.4