Explain how populations and variables differ. Choose the correct answer below. O A. A variable is a set of units of interest to a study. A population is a characteristic or property of the units being studied. O B. A population is a set of units of interest to a study. A variable is a subset of the units of a population. O C. A population is a set of units of interest to a study. A variable is an object upon which data is collected. D. A population is a set of units of interest to a study. A variable is a characteristic or property of the units being studied.

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### How Populations and Variables Differ

To understand statistical analysis and data collection methodologies, it is essential to differentiate between populations and variables. 

**Question:**
Explain how populations and variables differ.

**Answer Choices:**

- **A.** A variable is a set of units of interest to a study. A population is a characteristic or property of the units being studied.
- **B.** A population is a set of units of interest to a study. A variable is a subset of the units of a population.
- **C.** A population is a set of units of interest to a study. A variable is an object upon which data is collected.
- **D.** A population is a set of units of interest to a study. A variable is a characteristic or property of the units being studied.

Understanding these differences is vital for the correct design and interpretation of any study. Here is a deeper look:

#### Populations
A population is the total set of units or elements that are of interest in a study. This could include people, objects, or events that researchers want to analyze for making inferences.

#### Variables
A variable, on the other hand, is a characteristic, number, or quantity that can be measured or counted and varies among the units of the population. Variables are attributes that data correspond to in the study.

### Conclusion
The correct answer in this context is **D.** A population is a set of units of interest to a study. A variable is a characteristic or property of the units being studied. This distinction clarifies that while populations refer to the broader set of subjects, variables are the specific traits or features measured within these subjects.
Transcribed Image Text:### How Populations and Variables Differ To understand statistical analysis and data collection methodologies, it is essential to differentiate between populations and variables. **Question:** Explain how populations and variables differ. **Answer Choices:** - **A.** A variable is a set of units of interest to a study. A population is a characteristic or property of the units being studied. - **B.** A population is a set of units of interest to a study. A variable is a subset of the units of a population. - **C.** A population is a set of units of interest to a study. A variable is an object upon which data is collected. - **D.** A population is a set of units of interest to a study. A variable is a characteristic or property of the units being studied. Understanding these differences is vital for the correct design and interpretation of any study. Here is a deeper look: #### Populations A population is the total set of units or elements that are of interest in a study. This could include people, objects, or events that researchers want to analyze for making inferences. #### Variables A variable, on the other hand, is a characteristic, number, or quantity that can be measured or counted and varies among the units of the population. Variables are attributes that data correspond to in the study. ### Conclusion The correct answer in this context is **D.** A population is a set of units of interest to a study. A variable is a characteristic or property of the units being studied. This distinction clarifies that while populations refer to the broader set of subjects, variables are the specific traits or features measured within these subjects.
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