Algebra II - Statitics Review

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What is the definition of a sample in statistics?

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A sample is a subset of a population used to represent the entire group in statistical analysis.

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CCSS.HSS.IC.A.1

CCSS.7.SP.A.1

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What does it mean for a sample to be unbiased?

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An unbiased sample accurately reflects the characteristics of the population from which it is drawn, without favoring any particular group.

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CCSS.HSS.IC.A.1

CCSS.7.SP.A.1

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What is the purpose of running a simulation in statistics?

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Simulations are used to model the behavior of a system or process to estimate probabilities and outcomes based on random sampling.

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CCSS.7.SP.C.8C

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What is the definition of margin of error?

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Margin of error is a statistic that expresses the amount of random sampling error in a survey's results, indicating the range within which the true population parameter is expected to fall.

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CCSS.HSS.IC.B.4

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How do you calculate the mean of a data set?

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The mean is calculated by adding all the values in the data set and dividing by the number of values.

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CCSS.6.SP.B.5C

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What is standard deviation and what does it indicate?

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Standard deviation is a measure of the amount of variation or dispersion in a set of values. A low standard deviation indicates that the values tend to be close to the mean, while a high standard deviation indicates that the values are spread out over a wider range.

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What is a normal distribution?

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A normal distribution is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.

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What is the empirical rule in statistics?

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The empirical rule states that for a normal distribution, approximately 68% of the data falls within one standard deviation of the mean, about 95% falls within two standard deviations, and about 99.7% falls within three standard deviations.

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CCSS.HSS.ID.A.4

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What is the significance of the middle 95% in a statistical simulation?

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The middle 95% represents the range in which we expect the true population parameter to lie, based on the results of the simulation.

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CCSS.HSS.IC.B.4

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How do you interpret a confidence interval?

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A confidence interval provides a range of values that is likely to contain the population parameter with a certain level of confidence, typically 95%.

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CCSS.HSS.IC.B.4