Lesson 1.5 Checkpoint

Here are the lengths, in minutes, of the 50 most popular mp3 downloads of songs by country artist Dierks Bentley. 4.2 4.0 3.9 3.8 3.7 4.7 3.4 4.0 4.4 5.0 4.6 3.7 4.6 4.4 4.1 3.0 3.2 4.7 3.5 3.7 4.3 3.7 4.8 4.4 4.2 4.7 6.2 4.0 7.0 3.9 3.4 3.4 2.9 3.3 4.0 4.2 3.2 3.4 3.7 3.5 3.4 3.7 3.9 3.7 3.8 3.1 3.7 3.6 4.5 3.7

Which of the following is a histogram of the data using intervals of width 0.5, starting at 0?

(LT 1.5.1 #1)

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The IQ scores of 60 randomly selected fifth-grade students from one school are shown here.

145 139 126 122 125 130 96 110 118 118 101 142 134 124 112 109 134 113 81 113 123 94 100 136 109 131 117 110 127 124 106 124 115 133 116 102 127 117 109 137 117 90 103 114 139 101 122 105 97 89 102 108 110 128 114 112 114 102 82 101

Which of the following is a histogram of the data using intervals of width 10, starting at 80?

(LT 1.5.1 #2)

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• You can't make a histogram, because it is not quantitative.

In what percent of countries did CO₂ emissions exceed 10 metric tons per person? (LT 1.5.2 #1)

• 12.5%

• 6%

• 48%

• 0%

Describe the shape of the distribution. Select all that apply. (LT 1.5.2 #2)

• Skewed to the left with a single peak in the 0 to 1 interval

• Skewed to the right with a single peak in the 0 to 1 interval

• There are no gaps

• There are gaps from 10 to < 11, 13 to < 14, and 15 to < 16 intervals.

Which countries are possible outliers? Select all that apply. (LT 1.5.2 #3)

• Australia, 16.9

• Saudi Arabia, 17.0

• United States, 17.6

• Canada, 14.7

Rich and poor households differ in ways that go beyond income. Here are histograms that display the distributions of household size (number of people) for low-income and high income households.36 Low-income households had annual incomes less than $15,000, and high income households had annual incomes of at least $100,000. Which of the following compares the shape of the distributions? (LT 1.5.3 #1)

• Both distributions are skewed to the right and single-peaked with low-income more strongly skewed.

• Both distributions are skewed to the left and single-peaked with low-income more strongly skewed.

• Both distributions are roughly symmetric and single-peaked.

• There is nothing to describe.

Rich and poor households differ in ways that go beyond income. Here are histograms that display the distributions of household size (number of people) for low-income and high income households.36 Low-income households had annual incomes less than $15,000, and high income households had annual incomes of at least $100,000. Which of the following compares the center of the distributions? (LT 1.5.3 #2)

• The center of the distribution is higher for high income.

• The center of the distribution is higher for low income.

• The center of the distribution is same for both.

• There are no centers.

Rich and poor households differ in ways that go beyond income. Here are histograms that display the distributions of household size (number of people) for low-income and high income households.36 Low-income households had annual incomes less than $15,000, and high income households had annual incomes of at least $100,000. Which of the following compares the variability of the distributions? (LT 1.5.3 #3)

• Similar for low-income and high-income households.

• The variability is larger for low-income households than high-income households.

• The variability is larger for high-income households than low-income households.

• There is no such thing as variability

Rich and poor households differ in ways that go beyond income. Here are histograms that display the distributions of household size (number of people) for low-income and high income households.36 Low-income households had annual incomes less than $15,000, and high income households had annual incomes of at least $100,000. Which of the following compares the outliers of the distributions? (LT 1.5.3 #4)

• There are outliers for both.

• There are outliers for low-income households and not for high-income households.

• There are outliers for high-income households and not for low-income households.

• There are no apparent outliers for both distributions.