Question

Which of the following variables are categorical and which are continuous (or numerical)? If the variable is numerical, then specify whether the variable is discrete or continuous? Points scored on a basketball game. Racial composition of a high school classroom. Heights of 15-year-olds. Color of cars in a mall parking lot Time it takes each student to complete a final exam. The final letter grades of students in a class. Record of daily high temperature for the month of January in Akron.

Answer 1

Variables are items that can change in value

The categorical variables are:

• Racial composition of a high school classroom.
• Color of cars in a mall parking lot
• The final letter grades of students in a class.

The numerical variables are:

• Points scored on a basketball game. (discrete)
• Heights of 15-year-olds. (continuous)
• Time it takes each student to complete a final exam. (continuous)
• Record of daily high temperature for the month of January in Akron. (continuous)

How to determine the type of the variables

Categorical variables are variables such as grades, and they are used in grouping collective variables of the same feature.

From the list of options, the categorical variables are: race, color and letter grades

On the other hand, numerical variables are variables that represent numbers, and they can take finite or non-finite values

When a numerical variable takes a finite value, then it is discrete.

If it takes non-finite value, then it is continuous

From the list of options, the discrete numerical variable is: points

While the discrete numerical variables are:  Heights, Time and temperature

Read more about discrete variables at:

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