Statistics reasons from the population to the sample, whereas probability acts in reverse, moving from the sample to the population.

Question

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Statistics involves studying a sample in order to make inferences about the population from which it was drawn, while probability involves using information about a sample to make predictions about the likelihood or distribution of certain outcomes in the population. Therefore, statistics moves from the population to the sample, while probability operates in the opposite direction.

Statistics Reasons from the Population to the Sample, Whereas Probability