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AP Statistics 1.2 Variables Questions

Practise identifying variables in study contexts, classifying categorical and quantitative data, and distinguishing discrete counts from continuous measurements.

Syllabus
Effective Fall 2026
Course
AP Statistics

Exam points

  • Identify the variable of interest and match a population parameter to the study context.
  • Classify categorical and quantitative variables, then choose a proportion or mean as appropriate.
  • Distinguish discrete counts such as parcels from continuous measurements such as weight.

Covered syllabus points

1.2.A—Identify observational units, variables, parameters, and statistics from a statistical study or data set1.2.B—Identify types of variables1.2.C—Identify types of quantitative variables

Question 1

An environmental research agency conducted a study of a certain state's roadsides to estimate the mean number

of discarded cans and bottles per mile of public road. The state's public roads were grouped into three types:

Major highways: major paved roads designed for high traffic volume

Minor highways: smaller paved roads designed for low traffic volume

Unpaved roads: gravel and dirt roads

There are about 100,000 miles of public roads in the state. The environmental research agency defined a

sampling unit to be a one-mile segment of public road. Using a database supplied by the state's department of

transportation, the agency randomly selected 30 one-mile road segments for each of the three types of roads.

Researchers from the agency searched the roadsides along each of the selected one-mile road segments and

recorded the number of discarded cans and bottles. Results are shown in the table below.

Table for Question 1 — AP Statistics

What is the variable of interest in the study?

What is the parameter of interest?

Question 2

[Maximum number: 1]

A trainer has two weight lifting classes, Class I and Class II. Each class has 9 amateur adult males and 1 professional adult male. Their body weights and number of bench press reps with 225 pounds are shown in the following dotplots. The professionals are designated as A and B.

Figure for Question 2 — AP Statistics
Figure for Question 2 — AP Statistics

Identify and classify the quantitative variables.

Question 3

[Maximum number: 1]

A delivery company keeps track of truckloads with two variables: number of parcels and total weight. Are these variables discrete or continuous?

A

Both are discrete.

B

Both are continuous.

C

Number of parcels is discrete, and weight is continuous.

D

Number of parcels is continuous, and weight is discrete.

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