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Module 4 · Sampling & CLT · Topic 3

Sampling Distributions

Sampling Distribution. The sampling distribution of a statistic is the distribution of that statistic across all possible samples of the same size from the same population.

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In the full lesson

  • Key Properties for x̄ (text)
  • Conceptual Example (example)
  • Why It Matters (tip)

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Key formulas

From the Sampling & CLT formula sheet

  • Standard Error of xbar: SE_xbar = sigma / sqrt(n) - Standard deviation of the sampling distribution of the sample mean.

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Related glossary terms

  • Parameter: A number that describes an entire population. Example: The true mean height of all students at a university.
  • Statistic: A number computed from a sample. Example: The mean height of 80 sampled students.
  • Standard Error: The standard deviation of a statistic across repeated samples. Example: The standard error of xbar is sigma divided by sqrt(n).

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