Mathematics Resources by Topic - Chance and Data
Probability distributions
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statistics glossary

coin flipping - Ken White
Simulate the flipping of up to 100 coins (with graphics).

throw dice
Simulate the throwing of dice (choose from 1 to 5).  The total number of spots is found and a histogram is drawn.

applets - University of Alabama in Huntsville
Buffon's Coin Experiment, Buffon's Needle Experiment, Bertrand's Experiment, Triangle Experiment, Binomial Coin Experiment, Binomial Timeline Experiment, Galton Board Experiment, Negative Binomial Experiment, Problem of Points Experiment, Ball and Urn Experiment, Finite Order Statistic Experiment, Matching Experiment, Birthday Experiment, General Birthday Experiment, Coupon Collector Experiment, Galton Board Game, Venn Diagram Applet, Dice Experiment , Die Coin Experiment, Coin Die Experiment, Spinner Experiment, Poker Experiment, Poker Dice Experiment, Chuck-a-luck Experiment, Craps Experiment, Roulette Experiment, Monty Hall Game, Monty Hall Experiment, Red Black Experiment, Red Black Game, Random Walk Experiment, Ballot Experiment, Random Variable Experiment, Bivariate Normal Experiment, Bivariate Uniform Experiment, Quantile Applet, Sample Mean Experiment, Order Statistic Experiment, Probability Plot Experiment, Histogram, Histogram with Error Graph, Scatterplot, Normal Estimate Experiment, Uniform Estimate Experiment, Gamma Estimate Experiment, Beta Estimate Experiment, Beta Coin Experiment, Mean Estimate Experiment, Proportion Estimate Experiment, Variance Estimate Experiment, Mean Test Experiment, Proportion Test Experiment, Variance Test Experiment, Sign Test Experiment

probability calculators and random number generators

binomial distribution - Rice Virtual Lab in Statistics
normal distribution as an approximation to the binomial distribution - graphs and calculation of probabilities

normal probability calculators - Seeing Statistics - Gary H. McClelland

normal probability calculator - Introductory Statistics - David W. Stockburger
calculations for any normal distribution - enter the mean and standard deviation

normal probability calculator - Hyperstat Online
calculations and graphs for standard normal distribution Z

normal probability calculator - R.F.Barrow
Enter the mean and standard deviation and drag the limits.

normal probability table - Finite Math & Calculus
table of values of P(0<Z<a) for different values of a

statistical tables - Surfstat
Normal, t, chi-squared and binomial distributions - find the probability from the value as well as the value from the probability. Tables of random digits also available.

StaTable
Java applet provides immediate access to the twenty-five most commonly used statistical distributions. This software can be downloaded.

normally distributed data

Normal distribution - values from a normal distribution are represented by a histogram.  As the number of values increases, the histogram becomes more bell like. normal distribution - total area is 1
proof that the total area under the probability density function is 1 (pdf file)

Poisson distribution - shark simulation
Observe the number of sharks seen in an area in different one hour time periods.

Poisson distribution - DISCUSS
introduction, queueing simulation, graphs, patterns, Doodlebug data, comparison with binomial distribution, probability calculations, comparison with normal distribution, links

Poisson distribution as the limit of the binomial distribution
proof from MathWorld

Siméon Denis Poisson - biography

binomial, Poisson and normal distributions - R.F.Barrow
Compare the shapes of the three distributions by dragging the sliders for n and p.

sampling distributions
Samples are simulated from a normal, uniform, skewed or custom distribution. Graphs and measures are produced for different sample statistics (e.g. sample mean, sample median, sample standard deviation).

Make a random sample with or without repetition.

statistics applets - Statistics Concepts and Controversies
interactive java applets for normal curve, random sample, test of significance, confidence intervals, expected value

statistics applet - confidence intervals for means
Samples of size 20 are generated from the standard normal random variable and shown as blue marks. The sample means and sample standard deviations are found and used to calculate and display the confidence intervals.

Finite Math & Calculus

Type I and Type II Errors - Making Mistakes in the Justice System
hypothesis testing, type I and type II errors, power of the test, Java applet

Chance and Data in the News
Articles from the Tasmanian daily newspaper, The Mercury, are organised into six sections - aspects of numeracy throughout Mathematics and the five areas of the Chance and Data curriculum.

DISCUS - spreadsheet activities
interactive spreadsheets to learn about descriptive statistics, probability, binomial distribution, poisson distribution, continuous distributions, sampling, regression and hypothesis testing

DISCUSS - sequel to DISCUS
Discovering Important Statistical Concepts Using SpreadSheets

Excel Templates for Statistics
spreadsheets written for the textbook Complete Business Statistics

Online Statistics - An Interactive Multimedia Course of Study
textbook including interactive demonstrations, simulations, case studies, analysis lab - can be downloaded

CAST
Computer-Assisted Statistics Teaching is a complete course in Introductory Statistics that can be downloaded and run on a computer. Permission can be sought to use the software locally with a class.

Exploring Data - Rex Boggs
statistics resource material for high school students

learning resources and sources of problems

Statistics and Probability - Projective Interactive
interactive activities for probability, conditional probability, sampling, expected value, statistics, histograms, boxplots, normal curve and statistical simulations

Internet Projects - Introductory Statistics
Each project involves the analysis of data by simulations, demonstrations and other activities.

Learning Statistics By Doing Statistics - Gary Smith
twenty projects for introductory statistics course

Statistics Resources Page - Sidney Tyrrell
teaching links - UK National Grid for Learning

Mathematics Used In Technology
applications of Mathematics to various areas of technology

Statistics and Research Methods - British Medical Journal
collections of BMJ articles

Epidemiology for the Uninitiated - British Medical Journal
the study of how often diseases occur in different groups of people and why

How to Read a Paper - British Medical Journal
articles related to research and the use of statistics

Winstats software
statistics calculations and graphs, theoretical probability distributions, simulations

Ostats software - Michael Bulmer
simple tool for data visualisation and analysis, aimed at helping students learn statistics