Questions: Which of the following would be classified as a continuous numeric variable? The possible outcomes when rolling three dice and adding the result. The heights of students in a third grade classroom. The number of pens in a pocket protector. The number of people enrolled in STA2023 at TCC for any semester.

Which of the following would be classified as a continuous numeric variable?
The possible outcomes when rolling three dice and adding the result.
The heights of students in a third grade classroom.
The number of pens in a pocket protector.
The number of people enrolled in STA2023 at TCC for any semester.
Transcript text: Which of the following would be classified as a continuous numeric variable? The possible outcomes when rolling three dice and adding the result. The heights of students in a third grade classroom. The number of pens in a pocket protector. The number of people enrolled in STA2023 at TCC for any semester.
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Solution

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Solution Steps

To determine which of the given options is a continuous numeric variable, we need to understand the difference between continuous and discrete variables. Continuous variables can take any value within a range, while discrete variables can only take specific, separate values. Among the options, the heights of students in a third grade classroom is a continuous variable because height can vary continuously within a range.

Step 1: Identify the Types of Variables

To classify the given options, we need to distinguish between continuous and discrete variables. Continuous variables can take any value within a range, while discrete variables can only take specific, separate values.

Step 2: Analyze Each Option
  1. The possible outcomes when rolling three dice and adding the result: This is a discrete variable since the outcomes are limited to specific sums (ranging from 3 to 18).
  2. The heights of students in a third grade classroom: This is a continuous variable because height can vary continuously within a range.
  3. The number of pens in a pocket protector: This is a discrete variable as it can only take whole number values (0, 1, 2, ...).
  4. The number of people enrolled in STA2023 at TCC for any semester: This is also a discrete variable since it can only take whole number values.
Step 3: Conclusion

Among the options analyzed, the only continuous numeric variable is the heights of students in a third grade classroom.

Final Answer

\(\boxed{\text{The heights of students in a third grade classroom}}\)

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