One of the variables most often included in surveys is income. Sometimes the question is phrased "What is your income (in thousands of dollars)?" In other surveys, the respondent is asked to "Select the circle corresponding to your income level" and is given a number of income ranges to choose from. Complete parts a and b below. a. In the first format, explain why income might be considered either discrete or continuous. Choose the correct answer below.

A. Income in thousands of dollars can be considered discrete because the number of thousands of dollars of income have values that can be placed into categories, but also be considered continuous because the values can be ordered.
B. Income in thousands of dollars can be considered discrete because the values have a true zero point, but also be considered continuous because the values can be ordered.
C. Income in thousands of dollars can be considered discrete because the number of thousands of dollars of income can be counted, but also be considered continuous because there are many income amounts between each thousand that can be measured to different levels of precision.
D. Income in thousands of dollars can be considered discrete because the number of thousands of dollars of income have values that can be counted, but also be considered continuous because the values have a true zero point.

income in thousands of dollars can be considered discrete because the number of thousands of dollars of income have values that can be counted, but also be considered continuous because the values have a true zero point.

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priyankatutor priyankatutor · Answer 2 · 2021-12-02T07:01:09+01:00

Income in thousands of dollars can be discrete or continuous variable. Option D is correct.

Discrete Variable:

Variables that can take only a certain values in a range.

For example- Size of shoes, number of pages in book.

Continuous Variable:

A variable that can take any value in the a range.

For example: Temperature, time taken to complete the race.

The income is discrete value because it has certain value but it is also a continuous variable because annual income can vary and it has true zero point.

Therefore, income can be discrete or continuous variable.

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