Which statement correctly distinguishes a sample from a population?

Which statement correctly distinguishes a sample from a population?

• A. A sample is a small group studied; the population is the larger group.
• B. A population is a subset of a sample.
• C. A sample is the entire group.
• D. A population is any subset of data.

Answer: (A)

A population is the entire group of interest, the set we want to understand, while a sample is a smaller group drawn from that population to study. This distinction makes sense because we often study a manageable subset (the sample) and use what we learn to infer about the whole group (the population). The statement that a sample is a small group studied and the population is the larger group captures this relationship accurately. It reflects why researchers collect data from a subset rather than the entire population and then generalize findings. If a population were simply a subset of a sample, that would invert the relationship, which isn’t correct—the population is the broader group, not a smaller piece. Likewise, saying the sample is the entire group contradicts the idea that we usually study only part of the population. And calling the population “any subset of data” misuses the term, since the population refers to the complete set of units of interest, not just any subset.

A population is the entire group of interest, the set we want to understand, while a sample is a smaller group drawn from that population to study. This distinction makes sense because we often study a manageable subset (the sample) and use what we learn to infer about the whole group (the population).

The statement that a sample is a small group studied and the population is the larger group captures this relationship accurately. It reflects why researchers collect data from a subset rather than the entire population and then generalize findings.

If a population were simply a subset of a sample, that would invert the relationship, which isn’t correct—the population is the broader group, not a smaller piece. Likewise, saying the sample is the entire group contradicts the idea that we usually study only part of the population. And calling the population “any subset of data” misuses the term, since the population refers to the complete set of units of interest, not just any subset.