[table]
Which of the following correctly describes the relationship between a sample and a population? (1 mark)
[/table]

Question

BlackTom AI · Accepted Answer

To understand the relationship between a sample and a population, let's evaluate each option in turn with clear distinctions.
Option a: 'A population and a sample are not related.' This is inaccurate. In statistics, a sample is a subset drawn from a larger population, so they are inherently related. Dismissing their relationship ignores the foundational concept of sampling.
Option b: 'A sample is a group of populations that are subject to observation.' This misstates the idea. A sample is not a group of populations; it is a group of individuals or units selected from a single population to be studied. Treating a sample as a collection of multiple populations confuses the scope of sampling.
Option c: 'A sample is a group of subjects selected from a population to be studied.' This reflects the standard definition: a sample consists of individuals chosen from a larger population for the purpose of investigation, allowing inferences about the population. The key idea is selection from the population to study specific characteristics.
Option d: 'A population is a group of samples that may or may not be included in a study.' This reverses the relationship. A population is the entire set from which samples are drawn, not a collection of samples itself. Saying a population is a group of samples mischaracterizes the fundamental structure of population versus sample.
Overall, the statement in option c correctly captures the classic relationship: a sample is drawn from a population to be studied, enabling conclusions about the population based on the observed sample.

254_MTH2310 STATISTICS 1

[table] Which of the following correctly describes the relationship between a sample and a population? (1 mark) [/table]

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