AP Statistics Chapter 1 Review

A zoologist studying adult bears measures a number of different variables. Which of the following possible variables is categorical?

• the weight in pounds of an adult bear

• the level of aggression (low, moderate, high) displayed by an adult bear

• The number of fish an adult bear eats in a particular day.

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CCSS.HSS.ID.B.5

A review of voter registration records in a small town yielded this table of the number of males and females registered as Democrat, Republican, or some other party affiliation. Which of the following bar graphs represents the distribution of party affiliation among all voters in this town?

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CCSS.HSS.ID.A.1

Above is a graphical presentation of information from the World Bank about the percentage of land in four East African countries that is forest. What’s wrong with this method of presenting information?

• The vertical scale underrepresents differences between countries.

• “Percentage of land area” does not take into account differences on total area among these countries.

• Using proportionally-sized trees exaggerates differences between countries.

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CCSS.HSS.ID.A.3

Above is a dot plot of voter turnout (as a percentage of voting-age population) for the 50 states—plus the District of Columbia—in a recent presidential election. Which of the following best describes this distribution?

• Skewed slightly left, centered at about 62%, with a range of 24 percentage points.

• Roughly symmetric, centered at about 60%, with a range of 30 percentage points.

• Skewed slightly right, centered at about 62%, with a range of 24 percentage points.

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CCSS.HSS.ID.A.3

CCSS.HSS.ID.A.1

CCSS.HSS.ID.A.2

The stem-and-leaf diagram gives the distribution of the ages in years of 20 participants at a family reunion. Which of the following statements about the distribution is correct?

• The mean is larger than the median.

• The distribution is strongly skewed to the left.

• It makes the most sense to use the mean and standard deviation as a numerical summary of the center and spread of this distribution.

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CCSS.HSS.ID.A.2

CCSS.6.SP.B.5D

Independently selected groups of middle-school children were given a poem to memorize. After a certain period of time, they were asked to recall as much of the poem as they could. A back-to-back stem plot of the distribution of the number of words that each group of children could correctly remember is displayed. Which of the following statements about these data is true?

• There are more students in Group 1 than in Group 2.

• In general, children in Group 2 were able to recall more words than children in Group 1.

• The third quartile of the Group 1 distribution is larger than the maximum value of the Group 2 distribution (that is, 25% of the Group 1 values are larger than any Group 2 value).

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CCSS.HSS.ID.A.3

CCSS.HSS.ID.A.1

CCSS.HSS.ID.A.2

The box plots show the distribution of test scores in Ms. Williams’s two sections of calculus. Based on these box plots, which one of the following statements must be true?

• The first quartile for the two sections is the same.

• The lowest score in A period was close to the 15th percentile of the C period class.

• The mean score for students in C period was higher than the mean score for students in A period.

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CCSS.7.SP.B.4

Given is a dot plot of voter turnout (as a percentage of voting-age population) for the 50 states—plus the District of Columbia—in a recent presidential election. Approximately what percentage had a turnout above 65%?

• 27.5%

• 17.6%

• 10%

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CCSS.HSS.ID.A.1

CCSS.6.SP.B.4

The owner of a convenience store keeps track of how many customer buy lunch food during the “noon rush” each day for four days and calculates that the mean number of customers for those four days is 52. How many customers must come in on the fifth day to make the five-day mean 54?

• 54

• 60

• 62

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CCSS.6.SP.B.5C

Which of the distributions displayed in the dot plots has the highest standard deviation?

• Distribution A

• Distribution B

• Distribution C

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CCSS.HSS.ID.A.3

CCSS.HSS.ID.A.1

CCSS.HSS.ID.A.2