Question

At the beginning of the school year, a high-school teacher asks every student in her

classes to fill out a survey that asks for their age, gender, the number of years they have
lived at their current address, their favorite school subject, and whether they plan to go
to college after high school. Which of the following best describes the types of variables
that are being measured?
(A) five quantitative variables.
(B) two categorical variables and two quantitative variables.
(C)two categorical variables and three quantitative variables.
(D) three categorical variables and two quantitative variables.

Answer 1

The survey variables are age and number of years at the current address as quantitative, and gender, favorite school subject, and plans for college as categorical, making the correct answer (D) three categorical variables and two quantitative variables.

Step-by-step explanation:

The question seeks to categorize the types of variables a high-school teacher is measuring via a survey. The types of variables are categorized into quantitative and categorical. Quantitative variables are numerical and can be either discrete or continuous, while categorical variables define groups but do not hold numerical value.

Age is a quantitative continuous variable because it can take on any value within a range. The number of years lived at the current address is quantitative discrete since it involves counting whole numbers. Gender, favorite school subject, and the choice of going to college are categorical variables as they sort responses into categories.

Therefore, the correct classification of the variables is: (D) three categorical variables and two quantitative variables.