MA19.A2.31

Mathematics (2019) Grade(s): 09-12 - Algebra II with Statistics

MA19.A2.31

Evaluate the effect of sample size on the expected variability in the sampling distribution of a sample statistic.

Unpacked Content

Knowledge

Students know:

  • Techniques to find the mean and standard deviation.

Skills

Students are able to:

  • Accurately compute the statistics needed.
  • Reach accurate conclusions regarding the population from the the sampling distribution of a sample statistic.

Understanding

Students understand that:

  • The center is not affected by sample size. The mean of the sample means is always approximately the same as the population mean.
  • As the sample size increases, the standard deviation of the means decreases. and as the sample size decreases, the standard deviation of the sample means increases.

Vocabulary

  • Sample size
  • Variability
  • Sampling distribution
  • Standard deviation
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