AP Statistics Practice Quiz: The Language of Variation: Variables

Written by AP Content Team, Verified for 2026 AP Exams, Last updated: May 2026

Test your understanding with short quizzes. This quiz has 14 questions to check your progress.

Question 1 of 14

According to the provided text, which of the following best defines a 'variable'?

A)A numerical value that remains constant across all individuals.B)A characteristic that changes from one individual to another.C)A category name or group label used for classification.D)The total number of individuals in a set of data.

All Questions (14)

According to the provided text, which of the following best defines a 'variable'?

A) A numerical value that remains constant across all individuals.

B) A characteristic that changes from one individual to another.

C) A category name or group label used for classification.

D) The total number of individuals in a set of data.

Correct Answer: B

The content explicitly states, 'A variable is a characteristic that changes from one individual to another.'

A variable that takes on values that are category names or group labels is defined as which type of variable?

A) Quantitative

B) Numerical

C) Measured

D) Categorical

Correct Answer: D

The content defines a categorical variable as one that 'takes on values that are category names or group labels.'

A quantitative variable is best described as a variable that:

A) takes on numerical values for a measured or counted quantity.

B) assigns each individual to a specific group or category.

C) is a characteristic that is the same for every individual.

D) can only be described with words or labels.

Correct Answer: A

The content states that 'A quantitative variable takes on numerical values for a measured or counted quantity.'

A teacher records the favorite color of each student in a class. What type of variable is 'favorite color'?

A) Quantitative

B) Categorical

C) Measured

D) Counted

Correct Answer: B

Favorite color (e.g., 'blue,' 'red,' 'green') takes on values that are category names, which is the definition of a categorical variable.

A researcher measures the height in centimeters of each player on a basketball team. The variable 'height' is an example of what type of variable?

A) Categorical

B) Label

C) Quantitative

D) Group

Correct Answer: C

Height is a measured quantity that takes on numerical values, which fits the definition of a quantitative variable.

A coffee shop owner collects data on customer orders. The data includes the type of drink ordered (e.g., latte, cappuccino, drip coffee) and the number of drinks purchased. Which of the following is true?

A) Both 'type of drink' and 'number of drinks' are categorical.

B) Both 'type of drink' and 'number of drinks' are quantitative.

C) 'Type of drink' is categorical, and 'number of drinks' is quantitative.

D) 'Type of drink' is quantitative, and 'number of drinks' is categorical.

Correct Answer: C

'Type of drink' uses category labels, making it categorical. 'Number of drinks' is a counted quantity, making it quantitative.

A survey of households in a city collects data on the number of pets, the primary language spoken, and the type of dwelling (apartment, house, condo). How many variables are identified in this set of data?

A) One

B) Two

C) Three

D) Four

Correct Answer: C

There are three characteristics that change from one household to another: number of pets, primary language spoken, and type of dwelling. This question tests the ability to identify variables in a set of data.

A car manufacturer records the make, model, year, and weight for each car produced. Which of these variables is quantitative?

A) Make

B) Model

C) Weight

D) Make and Model

Correct Answer: C

Weight is a measured quantity with a numerical value, making it a quantitative variable. Make and model are category labels, making them categorical variables.

Which of the following data sets contains ONLY categorical variables?

A) The age, weight, and height of a group of athletes.

B) The gender, eye color, and zip code of a group of survey respondents.

C) The temperature, humidity, and wind speed for a given city.

D) The number of pages, publication year, and price of a set of books.

Correct Answer: B

Gender and eye color are clear category labels. Zip code, while numerical, functions as a label for a geographic group, making it categorical. All other options contain at least one quantitative variable (age, weight, height, temperature, humidity, wind speed, number of pages, price).

A student is assigned a jersey number for their sports team. How is the variable 'jersey number' best classified?

A) Quantitative, because it is a numerical value.

B) Quantitative, because it can be counted.

C) Categorical, because it serves as a label to identify a player.

D) Neither, because the number is assigned and not measured.

Correct Answer: C

Although jersey numbers are numeric, they function as unique labels for players. It would not make sense to calculate the 'average' jersey number. Therefore, it is a categorical variable.

A scientist studies a group of trees in a forest, recording their species, age in years, and whether or not they have a specific disease (yes/no). Which statement correctly classifies these variables?

A) One quantitative variable (age) and two categorical variables (species, disease status).

B) Two quantitative variables (age, disease status) and one categorical variable (species).

C) One quantitative variable (species) and two categorical variables (age, disease status).

D) All three variables are categorical.

Correct Answer: A

'Age' is a measured quantity, making it quantitative. 'Species' and 'disease status' (yes/no) both place the trees into groups, making them categorical variables.

A survey asks participants to rate a product on a scale of 1 to 5, where 1 is 'Poor' and 5 is 'Excellent'. While the values are numbers, this variable is often treated as categorical. What is the best justification for this classification?

A) The numbers are limited to a small range.

B) The numbers represent labels for distinct categories of satisfaction.

C) The variable changes from one individual to another.

D) The numbers can be counted for each participant.

Correct Answer: B

The numbers 1, 2, 3, 4, and 5 are not true measurements where the interval between each value is necessarily equal. They function as labels for the categories 'Poor', 'Fair', 'Good', 'Very Good', and 'Excellent', making the variable categorical.

In a study of first-grade students, a researcher records the number of siblings each student has. This is an example of what kind of variable?

A) A categorical variable

B) A quantitative variable

C) A label variable

D) An individual characteristic

Correct Answer: B

The number of siblings is a counted quantity that takes on numerical values (0, 1, 2, etc.), which is the definition of a quantitative variable.

Which of the following is NOT a variable?

A) The brand of smartphone owned by different students.

B) The number of hours different students study per week.

C) The number of minutes in an hour.

D) The letter grade (A, B, C, D, F) students receive on a test.

Correct Answer: C

A variable is a characteristic that changes. The number of minutes in an hour is a constant value (60) and does not change from one individual (hour) to another. The other options all describe characteristics that vary among individuals.