Statistics and Probability

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What is a representative sample in statistics?

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A representative sample is a subset of a population that accurately reflects the characteristics of the larger group, allowing for valid inferences about the population.

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What is the difference between biased and unbiased sampling?

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Biased sampling occurs when certain members of a population are more likely to be selected than others, leading to skewed results. Unbiased sampling means every member of the population has an equal chance of being selected.

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CCSS.7.SP.A.1

CCSS.HSS.IC.A.1

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How do you calculate the probability of an event?

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The probability of an event is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

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CCSS.7.SP.C.7A

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What is the probability of drawing a red card from a standard deck of cards?

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The probability is 1/2, as there are 26 red cards (hearts and diamonds) in a standard 52-card deck.

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CCSS.7.SP.C.7B

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What does it mean if an event has a probability of 100%?

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It means that the event is certain to occur.

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What is the formula for calculating the probability of selecting a specific item from a group?

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Probability = (Number of favorable outcomes) / (Total number of outcomes).

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CCSS.7.SP.C.7A

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What is the significance of sample size in research?

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A larger sample size generally leads to more reliable and valid results, reducing the margin of error and increasing the confidence in the findings.

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What is the role of surveys in statistics?

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Surveys are used to collect data from a sample of individuals to infer trends, opinions, or behaviors of a larger population.

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CCSS.6.SP.B.5B

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What is the concept of 'likelihood' in probability?

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Likelihood refers to the chance that a particular event will occur, often expressed as a probability.

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What is the importance of random sampling in statistics?

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Random sampling ensures that every individual has an equal chance of being selected, which helps to eliminate bias and allows for generalization of results.

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