Populations and Samples

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What is a population in statistics?

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A population is the entire group of individuals or items that we want to study or draw conclusions about.

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CCSS.7.SP.A.1

CCSS.HSS.IC.A.1

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What is a sample in statistics?

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A sample is a subset of the population selected for analysis, used to make inferences about the population.

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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 one that does not accurately represent the population, leading to skewed results.

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CCSS.7.SP.A.1

CCSS.HSS.IC.A.1

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What is an unbiased sample?

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An unbiased sample is one that accurately reflects the characteristics of the population.

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CCSS.7.SP.A.1

CCSS.HSS.IC.A.1

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How do you calculate the expected number of defective items in a population?

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Use the formula: (Number of defective items in sample / Total items in sample) x Total population size.

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CCSS.7.SP.C.6

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If a sample of 60 phones has 4 defective ones, how many defective phones are expected in an order of 4,200?

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280 smart phones.

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CCSS.7.SP.A.2

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If a sample of 50 elk has 8 infected, how many are expected to be infected in a population of 4,500?

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720 elk.

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CCSS.7.SP.A.2

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What is the importance of random sampling?

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Random sampling ensures that every individual has an equal chance of being selected, reducing bias.

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CCSS.HSS.IC.B.3

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What is stratified sampling?

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Stratified sampling involves dividing the population into subgroups and taking a sample from each subgroup.

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CCSS.HSS.IC.B.3

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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.