Introducing Statistics: Why Is My Sample Not Like Yours?

AP Statistics· difficulty 1/5

A teacher selects five different random samples of 25 students each from a school and computes x̄ for each sample. The five values differ.

Sample-to-Sample Variability Different samples give different x̄ values

Sampling variability refers to which of the following?

  • A

    Variation within a single sample.

  • B

    Bias introduced by a flawed sampling design.

  • C

    The natural variation in a statistic from one random sample to another.

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  • D

    Differences in measurement instruments.

Explanation

Sampling variability is the natural variation in a sample statistic across repeated random samples from the same population.

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