Wiki Page, Math 13 - Perez Sandbox : Module 17 - Distribution of Sample Proportions (2b of 6)

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2026-01-17T21:15:21-08:00

At this point, what do we know about the distribution of sample proportions?

When we select random samples from a population, the previous simulation suggests that our initial intuition about the shape and center of the distribution of sample proportions is correct. The distribution of sample proportions is normal (bell-shaped) with a mean equal to the population proportion.

What affects the variability of the sample proportions?

Our intuition tells us that larger samples will better approximate the population, so we might expect less variability in large samples. In other words, we expect the standard deviation is be smaller with large samples.

In the next walk-through, we use a simulation to investigate this idea.

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