AP Statistics Unit 2 Review

The following bar chart shows the number of different types of animals at two county fairs. Fair X had a total of 645 animals, and fair Y had a total of 590 animals. Which of the following statements is supported by the bar chart?

• The total number of cows, pigs, and horses combined is less at fair X than at fair Y.

• Fair X has at least 20 more chickens than fair Y.

• At fair X, the number of sheep is twice the number of horses.

• The percentage of all animals at fair Y that are goats is equal to the percentage of all animals at fair X that are goats.

• The percentage of all animals at fair Y that are goats is greater than the percentage of all animals at fair X that are goats.

Answer explanation

The bar chart indicates that the number of goats at fair Y is a larger percentage of the total animals compared to fair X, supporting the statement that the percentage of goats is greater at fair Y.

Tags

CCSS.HSN.VM.C.6

The following table shows the number of registered voters in three different regions and the political party in which they are registered.

• The region with the greatest proportion of voters who are registered Democrat is region A.

• The region with the least proportion of voters who are registered Republican is region A.

• The region with the greatest proportion of voters who are registered Republican is region B.

• The proportion of voters who are registered Independent in region A is less than the proportion of voters who are registered Independent in region C.

• The proportion of voters who are registered Republican in region C is greater than the proportion of voters who are registered Republican in region B.

Answer explanation

Region B has the highest number of registered Republicans compared to the other regions, confirming it as the region with the greatest proportion of Republican voters.

Tags

CCSS.8.SP.A.4

The following two-way table shows the responses from a group of people, categorized by age-group, when asked about their favorite types of vacations. Which of the following statements is not supported by the table?

• More people chose relaxation than any other vacation type.

• Each vacation type was selected by the same number of people in the under-21 age-group.

• In the 21 to 35 age-group, nature was chosen by the least number of people.

• Of all the vacation types, nature was chosen by the least number of people.

• The percentage of people that chose relaxation was equal for each age-group.

Answer explanation

The statement about the percentage of people choosing relaxation being equal for each age-group is not supported by the table, as the data likely shows variations in preferences across different age groups.

Tags

CCSS.8.SP.A.4

The following table shows data collected from a sample consisting of children and adults, who indicated their favorite type of amusement park rides. What proportion of the people indicated that water rides were their favorite type of ride?

• 1/4

• 1/3

• 1/2

• 2/3

Answer explanation

To find the proportion of people who favored water rides, divide the number of people who chose water rides by the total number of respondents. If 1/3 of the sample indicated water rides as their favorite, then the correct answer is 1/3.

The number of people who indicated water rides as their favorite type of ride was 600 out of the total of 2,000 people, so the proportion of all people who indicated water rides as their favorite type of ride is:

• 100/700

• 500/1,300

• 100/2,000

• 500/2,000

• 600/2,000

Answer explanation

The proportion of people who indicated water rides as their favorite is calculated by dividing the number of people who chose water rides (600) by the total number of people surveyed (2000). Thus, the correct choice is 600/2000.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Based on the table, what proportion of the people selected gave a response other than shopping as the favorite part of their vacation?

• 575/2,500

• 720/2,500

• 1,925/2,500

• 475/2,500

• 730/2,500

Answer explanation

To find the proportion of people who did not choose shopping, subtract the number who chose shopping from the total. If 575 chose shopping, then 2,500 - 575 = 1,925 chose something else. Thus, the proportion is 1,925/2,500.

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CCSS.8.SP.A.4

A random sample of 2,500 people was selected, and the people were asked to give their favorite season. Their responses, along with their age group, are summarized in the two-way table below. Among those whose favorite season is spring, what proportion are adults?

• 250/1,000

• 250/2,500

• 475/2,500

• 250/475

• 225/475

Answer explanation

To find the proportion of adults among those who prefer spring, divide the number of adults (250) by the total number of spring respondents (475). Thus, the correct answer is 250/475.

Tags

CCSS.8.SP.A.4

The following table shows the responses of 45 students from two different classes who were asked which of five amusement rides at a school fair was their favorite. For which ride was the proportion of the class who chose it as their favorite the same for both classes?

• Ferris Wheel

• Roller Coaster

• Bumper Cars

• Carousel

• Haunted House

Answer explanation

The Bumper Cars had the same proportion of students favoring it in both classes, indicating equal preference. The other rides showed different proportions, making Bumper Cars the only ride with consistent popularity across both classes.

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CCSS.7.SP.A.2

Which of the following statements is supported by the bar chart?

• There appears to be a negative association between the age of the farmer and willingness to participate.

• There appears to be no association between the age of the farmer and willingness to participate.

• There appears to be a positive association between the age of the farmer and willingness to participate.

• There appears to be a negative association between the age of the farmer and the total number of farmers surveyed.

• There appears to be a positive association between the age of the farmer and the total number of farmers surveyed.

Answer explanation

The bar chart indicates that as the age of the farmer increases, their willingness to participate decreases, supporting the statement of a negative association between age and willingness.

Tags

CCSS.8.SP.A.4

The following scatterplot displays the data collected on the mass, in grams, and the age, in days, for a sample of chameleon eggs. Which of the following is the best description of the relationship between the mass and the age of the chameleon eggs?

• The association is negative and linear.

• The association is positive and linear.

• There is no association between the variables.

• The association is positive and nonlinear.

• The association is negative and nonlinear.

Answer explanation

The scatterplot shows that as the age of the chameleon eggs increases, the mass also tends to increase, indicating a positive association. The relationship is not a straight line, suggesting it is nonlinear.

Tags

CCSS.HSS.ID.B.5