AP Stats Unit 1: MCQ Part A

Data are collected on the 35 students in a college history course. Which of the following is not a variable for the data set?

• Student birth month

• Political affiliation of student

• Student age

• Student address

• Number of students in the data set

Answer explanation

A variable is a characteristic that can vary from student to student. The number of students in the data set is a single, fixed value (35).

Tags

CCSS.6.SP.A.3

A local ice-cream shop sells ice-cream cones for $2.00, and customers can choose from the following options:

Ice-cream flavor

Type of cone: sugar or waffle

Chocolate dipped for an additional $0.50

Sprinkles for an additional $0.50

Which of the following is a quantitative variable?

• Ice-cream flavor

• Type of cone: sugar or waffle

• Chocolate dipped for an additional $0.50

• Sprinkles for an additional $0.50

• The total cost of the cone

Answer explanation

A quantitative variable is one that takes on numerical values for a measured or counted quantity. The total cost of the cone is a quantitative variable since it can assume different numerical values representing the cost of each cone. The total cost of a cone could be $2.00 (ice cream in cone only), $2.50 (ice cream with sprinkles only or ice-cream cone with chocolate only), or $3.00 (ice-cream cone that is both chocolate dipped and has sprinkles).

The following table shows data collected about the thirty-third through fortieth presidents of the United States. All variables reported in the table are categorical.

Which of the variables in the table could have been reported differently such that the variable would be classified as quantitative?

• Name

• Political Party

• Eye color

• Age at inauguration

• Dominant hand

Answer explanation

Age at inauguration could have been measured as a number of years.

Students in a class were asked to choose their favorite school subject. The following frequency table summarizes the responses.

Which of the following statements is supported by the frequency table?

• More students chose math as their favorite subject than the combined number of students who chose English and science.

• Fewer students chose math as their favorite subject than the combined number of students who chose science and social studies.

• The total number of students in the class is less than 20.

• Seventy percent of the students chose math as their favorite subject.

• Less than half of the students chose math as their favorite subject.

Answer explanation

Thirty-five percent of the students chose math as their favorite subject.

Tags

CCSS.2.MD.D.10

A group of first-grade students were asked to name their favorite color. The responses are shown in the following frequency table.

Which of the following statements supported by the frequency table?

• More students chose purple than any other color.

• Twice as many students chose blue as chose red.

• Yellow was chosen by the least number of students.

• The total number of student responses is 80.

• The combined number of students who chose green and yellow is greater than the number of students who chose purple.

Answer explanation

The number of students who chose red is 15, and 30 students chose blue. Since 30 is twice 15, the statement “Twice as many students chose blue as chose red” is supported by the data in the table.

Tags

CCSS.2.MD.D.10

The following relative frequency table shows reasons given by high school students for their last absence from school.

Which of the following statements is not supported by the relative frequency table?

• More than half the students were absent because of illness.

• More than one-third of the students were absent because of oversleeping or college visits.

• The reason given the least number of times was did not finish assignment.

• Only 7 students were absent because they did not finish an assignment.

• Less than one-fourth of the students were absent because they overslept.

Answer explanation

The statement is not supported by the relative frequency table. The proportion of students who gave a reason of did not finish assignment is 0.07, meaning that 7% of the total number of students, T, gave this reason. The number of students giving this reason is 0.07T, but this number cannot be determined because T is not known.

Tags

CCSS.8.SP.A.4

Residents from five districts of a city were asked whether they were in favor of a city proposal to create new bike lanes in the roads. The following bar chart shows the relative frequency in each district of those who responded that they were in favor of the proposal.

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

• District 2 has the greatest number of residents who are in favor of the proposal.

• District 1 has the least number of residents who are in favor of the proposal.

• All districts show at least 60% of residents in favor of the proposal.

• In 3 districts, less than half of the residents were in favor of the proposal.

• District 2 has the greatest percentage of residents who are in favor of the proposal.

Answer explanation

The bars represent percentages, and District 2 has the highest bar (around 71%).

Tags

CCSS.8.SP.A.4

The following bar chart shows the average price per gallon of gasoline for each month in 2004.

Which of the following statements is not supported by the bar chart?

• The gas price was highest in June and October.

• The gas price increased each month from January through June.

• All months had gas prices greater than $1.50 per gallon.

• The gas price was lowest in February.

• The September gas price was higher than the January gas price.

Answer explanation

The statement is not supported by the bar chart. January has the lowest bar in the bar chart, not February.

Tags

CCSS.3.MD.B.3

The following bar chart shows the number of wins for four middle-school basketball teams. Each team played 12 games.

Which of the following statements is not supported by the bar chart?

• Team A won 75% of its games.

• Team B won 60% of its games.

• Team C won 7 games.

• Team D won less than half its games.

• Team C won 2 fewer games than Team A.

Answer explanation

The statement is not supported by the bar chart. Team B won 6 games, and 6 out of 12 is 50%, not 60%.

The following table shows the numbers of students in grades 7 and 8 at a middle school who are participating in extracurricular activities.

Which of the following statements is supported by the table?

• Each activity has more grade 8 students than grade 7 students.

• The number of students in Band is less than the number of students in the Chess Club.

• The total number of grade 7 students is greater than the total number of grade 8 students.

• The number of students in the Drama Club is more than twice the number of students in the School Newspaper.

• The activity with the greatest number of students is Chorus.

Answer explanation

The total number of students in Chorus is 42, which is greater than the other totals.

Tags

CCSS.HSN.VM.C.6