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Given simple random samples of size n from a given population with a measured characteristic such as mean, proportion, or standard deviation for each sample, the probability distribution of all the measured characteristics is called a sampling distribution. How much the statistic varies from one sample to another is known as the sampling variability of a statistic. You typically measure the sampling variability of a statistic by its standard error. The standard error of the mean is an example of a standard error. It is a special standard deviation and is known as the standard deviation of the sampling distribution of the mean.

This text is adapted from Openstax, Introductory Statistics, Section 2.7 Measures of Spread of Data

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Sampling DistributionRandom SamplesPopulationMeasured CharacteristicMeanProportionStandard DeviationSampling VariabilityStandard ErrorStandard Deviation Of The Sampling Distribution

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6.13 : Sampling Distribution

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6.1 : 統計学における確率

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6.2 : 確率変数

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6.3 : 確率分布

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6.4 : 確率ヒストグラム

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6.5 : 異常な結果

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6.6 : 期待値

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6.7 : 二項確率分布

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6.8 : ポアソン確率分布

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6.9 : 均一な配布

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6.10 : 正規分布

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6.11 : z スコアと曲線下面積

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6.12 : 正規分布の応用

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6.14 : 中心極限定理

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