Cognitive Scaffold

Preparing your thinking workspace

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MENTAL MODEL · M9891

Sampling Distribution

Sampling Distribution
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Version 1.0.0 · Updated 2026-07-30

CORE DEFINITION

The probability distribution of a sample statistic (such as the sample mean) under repeated sampling, serving as the theoretical foundation of inferential statistics. Scaffolding role: understanding sample variability. A single sample may be "unlucky"; the sampling distribution tells us the range of fluctuation of sample results.

SCAFFOLDING EFFECT

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Understanding sample variability. A single sample may be "unlucky"; the sampling distribution tells us the range of fluctuation of sample results.

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The sampling distribution describes the probability distribution of a statistic (such as the mean) under repeated sampling, serving as a bridge for statistical inference. It places the result of a single sample in the context of all possible samples to measure chance.

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Source support: Explicit

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    zh.wikipedia.orghttps://zh.wikipedia.org/wiki/%E6%8A%BD%E6%A0%B7%E5%88%86%E5%B8%83ZH · Explicit
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