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What is the difference between a population and a sample in statistics?

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A population includes all members of a defined group, while a sample is a subset of the population used to represent the group.

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Define 'population' in the context of statistics.

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Population refers to the entire group of individuals or instances about whom we hope to learn.

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Define 'sample' in the context of statistics.

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A sample is a portion or subset of a population that is used to represent the whole.

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In the context of surveys, what is a representative sample?

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A representative sample accurately reflects the characteristics of the population from which it is drawn.

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Why is it important to use a sample instead of a population in research?

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Using a sample is often more practical and cost-effective than studying an entire population, and it can still provide valid insights.

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What is sampling bias, and how can it affect research results?

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Sampling bias occurs when the sample is not representative of the population, leading to skewed or invalid results.

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What is a simple random sample?

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A simple random sample is a sampling method where each member of the population has an equal chance of being selected.

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What is the significance of the sample size in research?

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Larger sample sizes generally lead to more reliable and valid results, reducing the margin of error.

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How can you identify the population in a given research scenario?

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The population can be identified by determining the group of individuals or items that the research aims to study.

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What is the role of surveys in understanding populations?

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Surveys collect data from samples to make inferences about the larger population.

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