Statistics
Glossary
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Probability |
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National
Library of Virtual Manipulatives for Interactive Mathematics
origins
of the mathematics of probability - Math Forum
The rigorous mathematics of probability
was developed by French mathematicians Pierre de Fermat and Blaise Pascal.
This is the problem that started it all.
The
Dice Game
Place ten chips on the possible
outcomes for the totals of two dice (2,3,...,12). A chip is removed by
rolling the dice and getting the appropriate total. What strategy for placing
the chips gives the smallest number of rolls?
Hare
and Tortoise
Will the hare catch the tortoise?
Moves depend on the total of two dice.
Game
of Skunk
two dice game - variation of Pig
/ Hold'em / Greed
dice
spreadsheet
various dice simulations with large
graphics
Virtual
Dice Server
Simulate the throwing of a die with
4, 6, 8, 10, 12, 20 or 30 faces (photos of actual dice).
Virtual
Dice
Simulate the throwing of a die with
6, 8, 10 or 12 faces (large graphics / open more than window at a time).
Adjustable
Spinner
Simulate a spinner and compare theoretical
and experimental probabilities.
Javascript
School Math Toolkit
Simulate coins, dice, spinners.
coin
flipping - Ken White
Simulate the flipping of up to 100
coins (with graphics).
Keno
game spreadsheet
Select from 1 to 10 numbers or "spots."
Twenty random numbers are drawn and payouts are determined by the number
of spots you pick and the number of matching numbers that were drawn.
fair
dice - isohedra
details and pictures of polyhedra
that can be used as fair dice
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
rocket
launch
Will the launch take place?
Learn about the multiplication law for independent events.
probabilities
- Venn diagram
Java applet demonstration of events
A, B, A or B, A and B, A', B', A' and B', ... (all 16 possibilities)
statistics
applets - Statistics Concepts and Controversies
Try the interactive java applet
"What is Probability?" to see a graph showing the proportion of heads for
a coin being repreatedly tossed.
tree
diagram applet
Construct a tree diagram and run
a simulation.
racing
game - progress based on throwing
marbles
from a bag (with or without replacement)
estimation
of pi
rocket
launch
Birthday
Problem - What is the probability that at least two people in the room
have the same birthday?
two
dice conditional probabilities - R.F.Barrow
Monty
Hall problem involving conditional probability
cereal
box problem
Chuck-A-Luck
exploration of a gambling game
cliffhanger
Random steps toward or away from
the cliff - will Homer escape?
The
Gambler's Ruin Problem
Simulate a gambler playing against
the house with different strategies.
Probability
by Surprise
exploring paradoxes with java applets
lottery
games
Bayes
Rule applets
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
Exploring
Data - Rex Boggs
statistics resource material for
high school students
learning
resources and sources of problems
Statistics
and Probability - Projective Interactive
Internet
Projects - Introductory Statistics
Each project involves the analysis
of data by simulations, demonstrations and other activities.
Statistics
Resources Page - Sidney Tyrrell
teaching links - UK National Grid
for Learning
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