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Question
we talked this semester about an analogy where the true value of the population parameter is like the bulls - eye on a target, and the sample statistic is like an arrow fired at the bulls eye. what might happen when multiple arrows are fired at the bulls - eye? the pattern we see when these arrows hit the target illustrates two key ideas about sample statistics. the figure below, for example, illustrates a situation in which we have small and large i
In statistics, when arrows (sample statistics) are fired at the bull's - eye (true population parameter), the pattern can show two key ideas. The figure shows arrows clustered together (small variability) but far from the bull's - eye (large bias). Variability refers to how spread out the sample statistics are, and bias refers to the difference between the sample statistic and the true population parameter.
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Small variability and large bias