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. Explain the difference between a discrete variable and a continuous variable. Choose the correct answer below. A. A discrete variable has observed values that are clustered in certain​ intervals, while a continuous variable has observed values that are evenly distributed throughout the distribution. B. A discrete variable has possible values that are separate​ numbers, while a continuous variable has possible values that form an interval. C. A discrete variable has infinitely many possible​ values, while a continuous variable is usually a count. D. A discrete variable has each observation belong to one of a set of distinct​ categories, while a continuous variable has observations that take numerical values that represent different magnitudes of the variable.

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Answer:

The correct answer is:

A discrete variable has possible values that are separate​ numbers, while a continuous variable has possible values that form an interval. (B)

Step-by-step explanation:

There are two major categories of variables in data measurement: Discrete and Continuous variables

A Discrete variable is a type variable that can take on a distinct number, obtained by counting, and there is a limit to the value that that variable can take on. An example is the number of students in a class. This can be 10, or 20 or 25, etc. There cannot be 12.8 students or 13.1 students. Hence this kind of variable is a discrete variable.

A Continuous variable is one that is measured and not counted. they have an infinite possibility within a range in a scale of measurement. An example is; the height of trees in meters. The possibilities can be 3.6m, 4.08m, 5m, 1.9m, etc. There is no distinct number, but a possibility of ranges.  

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