AP Stats Unit 2 - Data Analysis 2025

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 zoologist studying adult bears measures a number of different variables. One variable is the body temperature of the bear during hibernation. Which of the following is the best description of the distribution of this variable.

• All the values that the zoologist records for body temperature and how many individual bears have each value.

• The difference between the highest temperature recorded for a bear’s body temperature and the lowest.

• The geographical area in which the adult bears can be found.

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CCSS.HSS.ID.A.1

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

CCSS.HSS.ID.B.5

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.HSS.ID.A.3

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.2

CCSS.HSS.ID.A.3

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.HSS.ID.A.1

CCSS.HSS.ID.A.2

CCSS.HSS.ID.A.3

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%

• 19.4%

• 18.32%

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CCSS.HSS.ID.A.1

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.2

CCSS.HSS.ID.A.3

According to the 1.5 x IQR rule, how many outliers are there in the data set 72, 110, 114, 115, 118, 123, 144, 156?

• None

• One

• Two

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CCSS.HSS.ID.A.3

The histogram shows the typical travel time to school (self-reported) for 50 high school students. Which of the following statements is true about the mean and median of this distribution?

• Mean > Median

• Mean < Median

• Mean = Median

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CCSS.HSS.ID.A.1

CCSS.HSS.ID.A.2

CCSS.HSS.ID.A.3