Chapter 3 Quiz 1 Review

For this density curve, what percent of the observations lie above 4?

• 20%
• 25%
• 50%
• 75%

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CCSS.HSS.ID.A.4

CCSS.HSS.MD.A.1

You are told that your score on an exam is at the 85 percentile of the distribution of scores.
Which of the following is a correct interpretation of this information?

• Your score was lower than approximately 85% of the people who took this exam.
• Your score was higher than approximately 85% of the people who took this exam.
• You answered 85% of the questions correctly.
• 85% of the people who took this test earned the same score you did.

Here is a list of exam scores for the 14 students in Mr. Williams’s calculus class:

60 61 61 65 72 75 75

78 81 81 85 89 91 98

What is the percentile of the person whose score was 85?

• 21%

• 29%

• 79%

• 85%

The distribution of household incomes in a small town is strongly skewed to the right.  The mean income is $42,000 and the standard deviation is $24,000.  The Ames family’s household income is $60,000. 
The z-score for the Ames family’s
income is...

• -0.75
• 0.3
• 0.75
• 0.86

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CCSS.HSS.ID.A.4

Ramon is planning on buying a new car.  He’s looking at the Ford Escape—a sport-utility vehicle—which gets 28 highway miles per gallon, and the Ford Fusion—a mid-sized sedan—which gets 31 highway miles per gallon.   The mean fuel efficiency for all sport utility vehicles is 23, with a standard deviation of 7.6.  The mean of all mid-sized sedans is 27, with a standard deviation of 5.2. Which vehicle has a better standing, relative to others of the same style?

• The Ford Fusion sedan has a better relative standing, because it’s z-score is higher
• The Ford Fusion sedan has a better relative standing., because it’s z-score is closer to 0.
• The Ford Escape SUV has a better relative standing, because it’s z-score is higher
• The Ford Escape SUV has a better relative standing, because it’s z-score is closer to 0.

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CCSS.HSS.ID.A.4

CCSS.HSS.ID.A.2

CCSS.HSS.ID.A.3

What is the purpose of z-scores?

• to describe the exact location of a score within a distribution

• to find the mean of the distribution

• to describe the shape of the distribution

• to find the standard deviation of the distribution

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CCSS.HSS.ID.A.4

Your latest test score had a SD of 8 points.

If you scored 16 points above the mean of the class, what is your Z-score?

• -2.0

• 16%

• +2.0

• +8

Crispix has 4.6g of sugar below the mean of all cereals. What is the z-score? (SD = 4.5)

• +1.02

• -1.02

• -0.76

• +0.76

The density curve shown has a height of 0.5

on the interval 0 ≤ x ≤ 2 and takes the value 0

everywhere else. What percent of the observations lie

between 0.5 and 1.2?

• 25%

• 35%

• 50%

• 68%

• 70%

The density curve shown has a height of 0.5
on the interval 0 ≤ x ≤ 2 and takes the value 0
everywhere else. What is the value of $Q_3$  ?

• 0.5

• 0.75

• 1

• 1.5

• 1.75

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CCSS.6.SP.B.5C