Question

Determine whether the quantitative variable is discrete or continuous. Number of students in a class Is the variable discrete or​ continuous? A. The variable is continuous because it is not countable. B. The variable is discrete because it is not countable. C. The variable is continuous because it is countable. D. The variable is discrete because it is countable.

Answer 1

The number of students in a class is a quantitative discrete variable because student numbers are countable and would always be a whole number.

Step-by-step explanation:

The number of students in a class is a quantitative discrete variable. This is because the number of students can be counted, and would always be a whole number. There is no situation in which you could have a fraction of a student. Discrete random variables like this are countable, as opposed to continuous random variables which result from measurements and can take on any value in a range, including decimals and fractions. For instance, if we were discussing the heights of students, which can vary in continuous increments, we would be talking about a continuous variable.

Therefore, the correct option for the provided question is: D. The variable is discrete because it is countable.

Answer 2

D) The variable is discrete because it is countable.

Step-by-step explanation:

Both discrete and continuous falls under the numeric category.

Discrete variables are the variable that are countable and cannot be expressed in decimal form.

Example: Tosses of a coin, Number of rooms in an house.

Continuous variables on the other hand cannot be counted, they are countable and can be expressed in the form of decimals. Its value can be expressed in the form of interval.

Example: Time, Length.

Now, number of students in a class is a discrete variable since students are countable and they cannot be expressed in decimal form.

So the correct option is D) The variable is discrete because it is countable.