Statistics and Probability

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What is a representative sample in statistics?

Back

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?

Back

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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How do you calculate the probability of an event?

Back

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

Front

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

Back

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

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

Back

It means that the event is certain to occur.

Front

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

Back

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

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What is the significance of sample size in research?

Back

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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What is the concept of 'likelihood' in probability?

Back

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

Front

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.