Representative and Biased Samples

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What is a representative sample?

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A representative sample is a subset of a population that accurately reflects the characteristics of the larger group.

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CCSS.7.SP.A.1

CCSS.HSS.IC.A.1

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What is a biased sample?

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A biased sample is a subset of a population that does not accurately reflect the characteristics of the larger group, leading to skewed results.

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CCSS.7.SP.A.1

CCSS.HSS.IC.A.1

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Why is it important to have a representative sample?

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A representative sample ensures that the results of a survey or study can be generalized to the larger population.

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CCSS.7.SP.A.1

CCSS.HSS.IC.A.1

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What can cause a sample to be biased?

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A sample can be biased due to selection methods, such as only surveying certain groups or individuals who are more likely to respond.

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CCSS.7.SP.A.1

CCSS.HSS.IC.A.1

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Example of a biased sample: Asking only friends for opinions.

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This is biased because it does not include a diverse range of opinions from the entire population.

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CCSS.7.SP.A.1

CCSS.HSS.IC.A.1

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Example of a representative sample: Randomly selecting participants from a school.

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This is representative because it includes a variety of students from different backgrounds.

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CCSS.7.SP.A.1

CCSS.HSS.IC.A.1

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What is sampling bias?

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Sampling bias occurs when certain members of a population are systematically excluded from the sample.

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CCSS.7.SP.A.1

CCSS.HSS.IC.A.1

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How can surveys be designed to avoid bias?

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Surveys can be designed to avoid bias by using random sampling methods and ensuring questions are neutral.

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What is the difference between qualitative and quantitative data?

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Qualitative data describes characteristics or qualities, while quantitative data involves numerical measurements.

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Why might a survey conducted at a specific time be biased?

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A survey conducted at a specific time may be biased if it only captures opinions from those available at that time, missing others.

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CCSS.7.SP.A.1

CCSS.HSS.IC.A.1