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Is a proportion considered discrete or continuous numerical variables?

Question

Is a proportion considered discrete or continuous numerical variables?

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Solution

A proportion is considered a continuous numerical variable. Here's why:

  1. Discrete Variables: These are variables that can only take on a finite number of values. An example of a discrete variable is the number of children in a family, as you can't have 2.5 children.

  2. Continuous Variables: These are variables that can take on an infinite number of values within a certain range. An example of a continuous variable is height, as it can be any value (within the range of human heights).

  3. Proportions: A proportion is a type of ratio that compares a part to a whole. It can take on any value between 0 and 1, making it a continuous variable. For example, the proportion of students in a class who are female could be any value between 0 (if there are no female students) and 1 (if all students are female).

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continuous data used discretely

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