Understanding the Difference Between Categorical and Numerical Variables in Annual Income Data Analysis

categorical variable, types of data10. Referring to Scenario 1-1, the possible responses to the question “What is your annual incomerounded to the nearest thousands?” are values from a. a) discrete numerical variable.. b) continuous numerical variable.. c) categorical variable.. d) table of random numbers.

In this case, the possible responses to the question “What is your annual income rounded to the nearest thousands?” are values from categorical variable

In this case, the possible responses to the question “What is your annual income rounded to the nearest thousands?” are values from categorical variable.

A categorical variable is a variable that can take on one of a limited, and usually fixed, number of possible values or categories. In this scenario, the question is asking for the respondents’ annual income, which can be categorized into different income ranges or categories (e.g., $20,000-$30,000, $30,000-$40,000, etc.) when rounded to the nearest thousands.

Discrete numerical variables, on the other hand, are variables that can take on a countable number of possible values, usually associated with whole numbers. Continuous numerical variables can take on any value within a certain range, and a table of random numbers is not applicable in the context of this question.

Therefore, the correct answer is c) categorical variable.

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