Level 4: Consider statistics as measures of qualities of a sample distribution.
4D
Use statistics as measures of characteristics of sampling distribution. Anticipates effects of changes in generating process or sample size on these statistics.
"The median percent red (of the sample medians) will not change when we increase the number of spins from 10 to 100 because the structure of the spinner (the percent red) is not changing."
"The IQR (of the sampling distribution) goes down when the sample size goes up because samples with 100% red are not possible with 1000 spins (vs. 10 spins of a 2-color spinner) so the percent red (the sample statistic) gets more clumped."
Anticipating Changes in a Sampling Distribution
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Exploring how Properties of a Sample Impact a Sampling Distribution
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Making Sense of Changes to Sampling Distributions
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Lessons
5 Investigating Chance