Question

Consider the following statements about a particular traditional class of statistics students at State U related to discrete and continuous variables. Which of the following is a true statement? Check all that apply.
(A) The number of students in the class is a discrete variable.
(B) The average age of the students in the class is a continuous variable.
(C) The room number of the class is a continuous variable.
(D) The average weight of the students is a discrete variable.
(E) A student's GPA is a continuous variable.

Answer 1

Answer:

The answers are A, B and E

A. The number of students in the class is a discrete variable.

B. The average age of the students in the class is a continuous variable.

E. A student's GPA is a continuous variable.

Explanation:

A variable is any characteristics, number, or quantity that can be measured or counted. There are two types of variables;

1. Discrete variables in which the values can be obtained by counting and assume independent values. For example: Shoe size (38, 39, 45), dress size (6, 8, 10), number of students (50, 42, 20)
2. Continuous variables which are random variables that measure something and assume any value in a given range or infinite continuum. They are not defined at specific values and can take any value between two specified numbers. Fro example: A student's GPA (4.21, 3.52...).