Resource Library

This online, interactive lesson on expected value provides examples, exercises, and applets in which students will explore relationships between the expected value of real-valued random variables and the center of the distribution. Students will also examine how expected values can be used to measure spread and correlation.

This site gives a definition and an example of histograms.

This online, interactive lesson on special distributions provides examples, exercises, and applets covering normal, gamma, chi-square, student t, F, bivariate normal, multivariate normal, beta, weibull, zeta, pareto, logistic, lognormal, and extreme value distributions.

This site give a definition and an example of boxplots. Topics include outliers, medians, as well as lower and upper quartiles.

This site links to the article "Use of R as a Toolbox for Mathematical Statistics Exploration," to activities demonstrating the use of R programming language, and to the site where users can download R. Activities cover the following topics: calculation of a running variance, maximization of a non-linear function, resampling of a statistic, simple Bayesian modeling, sampling from multivariate normal, and estimation of power.

This site gives a definition and an example of scatterplots. Topics include positive and negative association.

This site gives a definition and an example of numerical summaries. Topics include mean, median, quantiles, variance, and standard deviation.

This site gives a definition and an example of normal distributions. Topics include assessing normality and normal probability plots.

This site gives a definition and an example of categorical data. Topics include two-way tables, bar graphs, and segmented bar graphs.

This site gives an explanation, a definition and an example of inference in linear regression. Topics include confidence intervals for intercept and slope, significance tests, mean response, and prediction intervals.