In an activity, students are pulling marbles from a large jar containing blue and red marbles. In their sample, students will calculate the proportion of blue marbles. Which of the following sample sizes will have the largest sampling variability?

Sampling variability is greatest when the sample size is smallest. Smaller samples are more likely to have proportions that differ from the jar’s true proportion of blue marbles. Of the choices, 5 is the smallest sample size, so it has the largest sampling variability.

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