CPM Statistics Resources

Web-based eTools, organized by type

The tools below are designed to help you explore various concepts of statistics. Tools on this page are general-use and could potentially be used by any statistics teacher or student.

Teachers - looking for Desmos activities? Try the teacher resources page.

Exploring and Graphing Data

Univariate data explorer and grapher

Histograms, boxplots, summary stats

Create histograms, boxplots, dotplots, and normal probability plots for one or up to five quantitative variables on the same axis scales for easy comparison. Allows for great customization of graph appearance. Enter data manually, use preloaded data from the text, or generate random data using a variety of distributions.

Bivariate data explorer and grapher

Scatterplots and linear regression

Create customizable scatterplots and residual plots from bivariate data. Perform linear regression on the data. Data can be added manually or copied-and-pasted from spreadsheets, you can randomly generate points, or you can use the click-to-add feature to add or remove data points.

Simulations and Inference

Proportion sampling distribution simulator

Generate simulated sample proportions from a population of either infinite or known finite size to explore the sampling distribution of the sample proportion.

Proportion confidence interval simulator

Simulate many confidence intervals for a population proportion using a variety of techniques and parameters and explore the capture rate of the confidence intervals over time.

Quantitative sampling distribution simulator

Generate and display sampling distributions of many different quantiative statistics (or even make your own!) from a population of your choice, including a variety of randomly generated options

Mean confidence interval simulator

Simulate confidence intervals for a population mean using a wide variety of techniques and a population of your choice. Explore how different populations and interval techniques affect the capture rate and interval width.

Power and Error in proportion tests

Show the relationship between the "true" sampling distribution and the "hypothesis" sampling distribution for proportion hypothesis tests, and use that to explore the likelihood of Type I and Type II errors and the power of the test.

Graphing and calcuations with statistical distributions

Binomial explorer

Graph binomial distributions, click for probabilities, overlay normal curve.

Normal explorer

Graph custom optionally shaded normal distributions, find areas under the curve and critical values.

T explorer

Graph custom optionally shaded T distributions, find areas under the curve and critical values.

χ2 explorer

Graph custom optionally shaded chi-squared distributions, find areas under the curve and critical values.

F explorer

Graph custom optionally shaded F distributions, find areas under the curve and critical values.

Activities, Demos, and Experiments

Reaction Time Experiment

A two-part activity to explore several properties of experimental design. Associated with lessons 4.2.3 and 11.1.1 of the CPM AP Statistics book.

Blocking simulation

This applet allows simulation of an imaginary experiment involving two exercise tracking apps. By experimenting with different blocking variables, you can see how clever blocking can greatly reduce the variability in an experiment and make results easier to see. Associated with lesson 4.2.2 of the CPM AP Statistics book.

T-Distribution Animation

Observe how the T-distribution changes based on the sample size! (Click for a larger version)