Chapter 5 Quiz Review

Use the following information and the Empirical Rule to estimate the answer.

The ages of golfers are normally distributed, with a mean of 38 and a standard deviation of 4.

Find the proportion of golfers that are between 30 and 46 years old.

• 68%

• 94%

• 95%

• 99%

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CCSS.HSS.ID.A.4

At a local high school, GPA's are normally distributed with a mean of 2.9 and standard deviation of 0.6. What percentage of students at the high school have a GPA between 2.3 and 3.5?

• 68%
• 99%

• 95%
• 84%

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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

Which interval shows 95% of the data given a mean of 15 and a standard deviation of 3? 

• 9 to 21
• 12 to 18
• 6 to 24
• 13 to 16

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CCSS.HSS.ID.A.4

What percentage of data is 1 standard deviation away

• 68%

• 95%

• 99%

• 34%

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CCSS.HSS.ID.A.4

Find the Z-score.

Mean = 22

Standard Deviation: 3.1

x = 29

• 2.26

• 16.45

• -2.26

• 1.26

• 298

• 296

• 220

• 380

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CCSS.HSS.ID.A.4

A survey was conducted at RBR regarding the number of times a student goes to the bathroom during the day. The mean for all the students was 4 times. The z-score for a student who went to the bathroom 2 times is -1.25. What is the standard deviation?

• .5

• 0.625

• 1.6

• 2

• It means you did better than zero people.

• It means you scored the same grade as the average grade.

• It means you earned a zero on the quiz.

• It means the average score was a zero.

Use the image of the normal graph provided. What is the value of the standard deviation?

• 6

• 12

• 36

• 18