State whether the data described below are discrete or continuous, and explain why.

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### Determining the Nature of Data: Discrete vs. Continuous

**Question:**
State whether the data described below are discrete or continuous, and explain why.

**Data Description:**
The weights (in tons) of the trees in a forest

**Answer Choices:**
1. **A.** The data are discrete because the data can only take on specific values.
2. **B.** The data are continuous because the data can only take on specific values.
3. **C.** The data are continuous because the data can take on any value in an interval.
4. **D.** The data are discrete because the data can take on any value in an interval.

In this question, you are asked to determine if the described data - the weights of trees in a forest - are discrete or continuous. Here's a brief explanation to assist in making the correct choice:

- **Discrete Data:** Discrete data consist of distinct or separate values. These values are typically countable and are often integers (e.g., the number of trees, the number of students).
- **Continuous Data:** Continuous data can take on any value within a given range. These values are not necessarily countable and can include fractions or decimals (e.g., height, weight, temperature).

Given that the weights of trees can be any value within a continuous range (including fractions and decimals), the correct answer is likely to be one of the choices explaining that the data are continuous because they can take on any value in an interval.

Therefore, the most appropriate answer is:

**C. The data are continuous because the data can take on any value in an interval.**

This choice correctly identifies that the weights of trees are not restricted to specific, countable values and can be measured across a continuous range.
Transcribed Image Text:### Determining the Nature of Data: Discrete vs. Continuous **Question:** State whether the data described below are discrete or continuous, and explain why. **Data Description:** The weights (in tons) of the trees in a forest **Answer Choices:** 1. **A.** The data are discrete because the data can only take on specific values. 2. **B.** The data are continuous because the data can only take on specific values. 3. **C.** The data are continuous because the data can take on any value in an interval. 4. **D.** The data are discrete because the data can take on any value in an interval. In this question, you are asked to determine if the described data - the weights of trees in a forest - are discrete or continuous. Here's a brief explanation to assist in making the correct choice: - **Discrete Data:** Discrete data consist of distinct or separate values. These values are typically countable and are often integers (e.g., the number of trees, the number of students). - **Continuous Data:** Continuous data can take on any value within a given range. These values are not necessarily countable and can include fractions or decimals (e.g., height, weight, temperature). Given that the weights of trees can be any value within a continuous range (including fractions and decimals), the correct answer is likely to be one of the choices explaining that the data are continuous because they can take on any value in an interval. Therefore, the most appropriate answer is: **C. The data are continuous because the data can take on any value in an interval.** This choice correctly identifies that the weights of trees are not restricted to specific, countable values and can be measured across a continuous range.
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