Difficulty: Medium

Average Score: 57%

What is an example of a discrete variable?

Rationale

The size of a family in a study about sibling relationships.

A discrete variable is one that can take on a finite number of distinct values, often represented in whole numbers. In this case, the size of a family can be counted in whole numbers (e.g., 1 child, 2 children), making it a clear example of a discrete variable.

A (The distance traveled in a study about fuel efficiency) YOUR ANSWER

Distance is a continuous variable because it can take on any value within a range, including fractions or decimals (e.g., 12.5 miles, 13.75 miles). This variability allows for a limitless range of measurements, which disqualifies it from being classified as discrete.

B (The circumference of a tree in a study about invasive plant species) YOUR ANSWER

Circumference is also a continuous variable, as it can vary infinitely and can include decimal values (e.g., 25.3 cm, 30.7 cm). The measurement can be made with precision, and thus it does not fit the definition of a discrete variable.

D (The weight of a soil sample in a study about fertilizer) YOUR ANSWER

Weight is another example of a continuous variable, as it can be measured with great precision and can include fractional values (e.g., 2.5 kg, 3.0 kg). The infinite possible values prevent it from being classified as a discrete variable.

Conclusion

Discrete variables are characterized by their ability to take on specific, countable values, such as the size of a family. In contrast, the other options provided—distance, circumference, and weight—are continuous variables due to their capacity for an infinite number of measurements, including fractions. Understanding these distinctions is crucial for proper data analysis in various studies.

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