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# Statistics Applets

- Interactive Histogram. This tool is used in many of the applets on this page. It illustrates the notion of "bin" that is important for understanding both histograms and distributions in general.

- Visualizing Sample Proportions. Simulates experimentally collecting sample proportions and creating a histogram to illustrate the theoretical mean and spread of the sample distribution.

- Visualizing Confidence Intervals for Proportions. Simulates experimentally collecting sample proportions and forming confidence intervals. The percentage of confidence intervals that contain the true population proportion is shown to illustrate the notion of "confidence level."

- Visualizing a Sample Mean. Simulates experimentally collecting a single sample (from a population whose distribution is shown) and displaying summary statistics for that sample. Allows the user to repeat the experiment, collecting a set of sample means and even showing a histogram to illustrate the theoretical mean and spread of the sample distribution.

- Visualizing the Distribution of Sample Means. Simulates experimentally collecting sample means and creating a histogram to illustrate the theoretical mean and spread of the sample distribution. The theoretical distribution of the population is provided for comparison.

- Visualizing Confidence Intervals for Means. Simulates experimentally collecting sample means and forming confidence intervals. The percentage of confidence intervals that contain the true population mean is shown to illustrate the notion of "confidence level."