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You are here: HomeOnline resources → Statistics & probability

# Online games and resources for statistics, graphs, and probability

Mean, median, mode, and range   Graphs   Advanced statistics   Statistics - Facts & Figures   Probability   Books

## Mean, Median, Mode, Range

Using and Handling Data
Simple explanations for finding mean, median, or mode.
www.mathsisfun.com/data/index.html#stats

Math Goodies Interactive Statistics Lessons
Clear lessons with examples and interactive quiz questions, including range, arithmetic mean, non-routine mean, median, and mode, practice exercises, and challenge exercises.
www.mathgoodies.com/lessons/toc_vol8.htm

Mean, Median, and Mode
Lesson on how to calculate mean, median, and mode for set of data given in different ways. Also has interactive exercises.
www.cimt.plymouth.ac.uk/projects/mepres/book8/bk8i5/bk8_5i2.htm

GCSE Bitesize Mean, mode and median lessons
Explanations with simple examples.
www.bbc.co.uk/schools/gcsebitesize/maths/data/measuresofaveragerev1.shtml

 Math Mammoth Statistics & Probability A self-teaching worktext for 5th-7th grade that covers reading different graphs, mean, median, and mode, circle graphs, stem-and-leaf plots, range, simple (classic) probability, and compound probability. Available as an affordable download (\$5.30), and also as a printed copy. => Learn more and see the free samples! See more topical Math Mammoth books

Measures Activity
Enter you own data and the program will calculate mean, median, mode, range and some other statistical measures.
www.shodor.org/interactivate/activities/Measures

Landmark Shark Game
You're dealt five number cards, and using that as your data set you need to choose which of the range, median, or mode is the largest number.
media.emgames.com/emgames/demosite/playdemo.html?activity=M5A006&activitytype=dcr&level=3

Train Race Game
Calculate the median and range of travel times for four different trains, then choose a good train to take based on your results.
www.bbc.co.uk/education/mathsfile/shockwave/games/train.html

Meta-Calculator
An online graphing/scientific/matrix/statistics calculator. Includes graphing implicit equations, finding interesections for equations, an equation solver, LCM, GCF, standard deviation, regressions, T-tests, and more.
www.meta-calculator.com

## Graphing and Graphs

Bar Chart Virtual Manipulative
Build your bar chart online using this interactive tool.
nlvm.usu.edu/en/nav/frames_asid_190_g_1_t_1.html?from=category_g_1_t_1.html

An Interactive Bar Grapher
Graph data sets in bar graphs. The color, thickness and scale of the graph are adjustable. You can input your own data, or you can use or alter pre-made data sets.
illuminations.nctm.org/ActivityDetail.aspx?ID=63

Graphs Quiz from ThatQuiz.org
This quiz asks questions about different kinds of graphs (bar, line, circle graph, multi-bar, stem-and-leaf, boxplot, scattergraph). You can modify the quiz parameters to your liking, such as to plot the graph, answer different kinds of questions about the graph, or find mean, median, or mode based on the graph.
www.thatquiz.org/tq-5/math/graphs

Create a Graph
Kids can create bar garphs, linegraphs, pie graphs, area graphs, and xyz graphs to view, print, and save.
nces.ed.gov/nceskids/createagraph/default.aspx

Circle Grapher
Use this online tool to graph data sets in a circle graph. You can input your own data or alter a preāmade data set.
illuminations.nctm.org/activitydetail.aspx?id=60

Math Goodies Interactive Data & Graphs Lessons
Clear lessons with examples and interactive quiz questions, covering the concept and construction of line graphs, bar graphs, circle graphs, comparing graphs, and exercises.
www.mathgoodies.com/lessons/toc_vol11.html

Stem-and-Leaf
Enter the values and this web page creates your stem-and-leaf plot for you.
www.mrnussbaum.com/graph/sl.htm

Stem-and-Leaf Plots Quiz
This is from Glencoe mathematics, an online multiple-choice quiz that is created randomly. Refresh the page (or press F5) to get another quiz.
www.glencoe.com/sec/math/studytools/cgi-bin/msgQuiz.php4

Data Analysis and Probability gizmos from Explorelearning.com
Interactive exploration activities online, with lesson plans.  Topics include box-and-whisker plots, histograms, stem-and-leaf plots, lines of best fits using least squares, scatter plots; probability topics; and more.  This is an excellent resource.  The gizmos work for 5 minutes for free. You can also sign up for a free trial account.
www.explorelearning.com/index.cfm?method=cResource.dspChildrenForCourse&CourseID=129

Statistics Interactive Activities
(scroll down to Statistics and Probability concepts)
A set of interactive tools for exploring histograms, pie charts, boxplots, stem-leaf plots, and mean, median, variance, and standard deviation of data. You can enter your own data or explore the examples.
www.shodor.org/interactivate/activities/tools.html

Great Graphing Resources
A list of more graphing-related resources, for grades 1-8.
www.startlocal.com.au/articles/educational_graphs.html

 Math Mammoth Statistics & Probability A self-teaching worktext for 5th-7th grade that covers reading different graphs, mean, median, and mode, circle graphs, stem-and-leaf plots, range, simple (classic) probability, and compound probability. Available as an affordable download (\$5.30), and also as a printed copy. => Learn more and see the free samples! See more topical Math Mammoth books

Statistics and Probability Interactive Activities
Including different graphs & plots, experimental probability with dice or coins or spinner, conditional probability with a boxes-and-marbles experiment, sampling with and without replacement with a draw-marbles experiment, the famous MONTY HALL!, and more.
www.shodor.org/interactivate/activities/#pro

The Regression Line and Correlation
This applet allows you to investigate a regression line, sometimes known as a "line of best fit."
illuminations.nctm.org/ActivityDetail.aspx?ID=82

Online Statistics: An Interactive Multimedia Course of Study
An introductory-level statistics book. The material is presented both as a standard textbook and as a multimedia presentation. The book features interactive demonstrations and simulations, case studies, and an analysis lab.
onlinestatbook.com

Statistics How-to
Includes calculators, tutorials, tables, and a forum. Covers all of the elementary statistics.
www.statisticshowto.com

An Open Learning Initiative Statistics Course
A free online course comparable to the full semester course on Statistics taught at Carnegie Mellon University. Your access includes the complete online course including all expository text, simulations, case studies, comprehension tests, interactive learning exercises and StatTutor.
http://oli.web.cmu.edu/openlearning/forstudents/freecourses/statistics

Online Statistics Video Tutorials
A collection of free videos for the statistics student.

TalkStats.com—Statistics Help
Discussion forum where you can ask statistics questions.
talkstats.com

Statistics: Inferences and Predictions from ExploreLearning.com
Great interactive 'gizmos' about correlation, least squares fit line, scatter plots, and more. All activities include exploration tutorial and assessment questions. Free trial.
www.explorelearning.com/index.cfm?method=cResource.dspResourcesForCourse&CourseID=267

SurfStat Australia
An online college level text of introductory statistics.
surfstat.anu.edu.au/surfstat-home/surfstat-main.html

Java Applet Hotlist from SurfStat
Centres (mean and median), growing histogram, linear regression and discrete probability distributions applets.
See also the graphing section; many of the programs have statistical plots features.
surfstat.anu.edu.au/surfstat-home/applets.html

## Statistics - Facts & Figures

GapMinder
Visualizing human development trends (such as poverty, health, gaps, income on a global scale) via stunning, interactive statistical graphs. This is an interactive, dynamic tool and not just static graphs. Download the software or the reports for free.
www.gapminder.org

WorldOdometers
World statistics updated in real time. Useful for general educational purposes - for some stunning facts.
www.worldometers.info

UN Data
The United Nations offers the ability to search across its statistical databases, including education, human development, population, trade and gender.
data.un.org

## Probability

Probability lessons at Maths is Fun
Online lessons and exercises for simple probability, tree diagrams, independent & dependent events, combinations and permutations.
www.mathsisfun.com/data/index.html#stats

Math Goodies Probability Lessons
Tutorials with lots of worked-out examples and online interactive exercises. Topics include independent and dependent events, addition rules, conditional probability, and more.
www.mathgoodies.com/lessons/toc_vol6.html

Data Analysis & Probability Games from MathWire
A list of board and dice games for beginner probability topics.
mathwire.com/games/datagames.html

Probability Game
A multiple-choice online quiz on simple probability
www.math-play.com/Probability-Game.html

A game played on a 100-chart of vines and toads. In level 1, answer questions about simple probability and get to move your piece. In level two, you work with the probability of two independent events.
www.learnalberta.ca/content/mejhm/index.html?l=0&ID1=AB.MATH.JR.STAT&ID2=AB.MATH.JR.STAT.PROB&lesson=html/object_interactives/probability/use_it.html

That Quiz: Probability
Online quizzes for the concept of simple (classic) probability.
www.thatquiz.org/tq-d/math/probability

Higher or Lower?
Bet on whether the next card shown will be higher or lower than the last one. www.subtangent.com/maths/higher-lower.php

Virtual toss of up to 10 coins, up to 10 million times.
www.mathsonline.co.uk/nonmembers/resource/prob/coins.html

Probability Practice
How likely is each ball to be picked? impossible/unlikely, even chance/likely/certain www.bbc.co.uk/schools/ks2bitesize/maths/data/probability/play.shtml

Virtual Experimental Probability
Roll die or two dice, spin a spinner, choose a card, or toss a coin virtually many times. The results are recorded so you can compare to theoretical probability.
staff.argyll.epsb.ca/jreed/math9/strand4/probability_display.htm

Probability Fair
Choose the probability that has the best chance when the colorful spinner is spun. mrnussbaum.com/probfair-play

Cross the Bridge (PDF)
This is a printable board game based on throwing two dice and the probabilities for the sum of the dice.
www.mathsphere.co.uk/resources/documents/bridge.pdf

Counting and Probability - from Interactive Mathematics
A full chapter of probability topics online, covering for example counting, basic probability, conditional probability, independent and dependent events, probability distributions, and more.
www.intmath.com/Counting-probability/Counting-probability-intro.php

Combinations and Permutations
A simple lesson from MathsIsFun.com.
www.mathsisfun.com/combinatorics/combinations-permutations.html

The Monty Hall Problem
Try this interactive version of the famous Monty Hall problem. Includes a simple explanation of the solution, as well. In the Monty Hall Problem you choose one of three closed doors. Behind one is a big prize and behind others something else, like a goat. After you choose a door, Monty opens one of the doors where there is no prize, and you have a chance to switch.
www.nytimes.com/2008/04/08/science/08monty.html?_r=1

Probability Interactive Activities
(scroll down to Probability)
A set of interactive tools for exploring probability: basic spinners, an adjustable spinner for exploring experimental versus theoretical probability, and dice table where you study the probabilities for sum of two dice.
www.shodor.org/interactivate/activities/tools.html

Visualizing Probabilites
This is an interesting article about modern visualisation techniques in the context of probabilities. The right picture really can be worth a thousand words.
plus.maths.org/content/understanding-uncertainty-visualising-probabilities

Probability Worksheets
Free printable worksheets on simple probability and statistics topics (middle school).
www.teach-nology.com/worksheets/math/stats

Books

 Math Mammoth Statistics & Probability A worktext with both instruction and exercises, meant for grades 5-7. The book includes lessons on reading and drawing different graphs including circle graphs and stem-and-leaf plots, mean, median, mode, and range, and simple probability.

 Probability Demystified This book is written as a self-teaching guide to adult audiences, and can be used as a high school book. It presents the basics of probability without formal proofs. The concepts will be developed from examples using coins, dice, cards, and other common probability devices. The book has problems at the end of each chapter and section, a 60-question "final exam", and answers to all problems.

 How to Lie With Statistics A bit dated, but fun! This book remains relevant as a wake-up call for people unaccustomed to examining the endless flow of numbers pouring from Wall Street, Madison Avenue, and everywhere else someone has an axe to grind, a point to prove, or a product to sell. Statistics are rife with opportunities for misuse, from "gee-whiz graphs" that add nonexistent drama to trends, to "results" detached from their method and meaning, to statistics' ultimate bugaboo--faulty cause-and-effect reasoning.

 How To Lie With Charts The main focus of How to Lie with Charts is on the principles of persuasive-and undistorted-visual communication. It's about careful thinking and clear expression. So don't blame the computers. People are running the show.

 A Mathematician Reads the Newspaper In this book the author reveals the hidden mathematical angles in countless media stories. His real life perspective on the statistics we rely on and how they can mislead is for anyone interested in gaining a more accurate view of their world. The book is written with a humorous and knowledgeable style that makes it great reading.

You can find a chapter on probability in the following books as well:

 Mathematics, a Human Endeavor: A Textbook for Those Who Think They Don't Like the Subject Though technically a textbook, this is excellent reading for anyone who's interested in learning about math. The subjects provide the reader with a broad introduction to the mathematical sciences, including geometry, probability, combinatorics, statistics, topology and more. More importantly, Jacob's examples and explanations make it relevant and fun.

 Challenge Math For the Elementary and Middle School Student There is a great lesson at the beginning followed by practice and then three levels of questions. The author has taken concepts that are generally saved for older kids (and can be dry and tedious) and made them accessible to a younger age group. Some of the concepts are fairly simple but as you work through how to apply them with increasing difficulty to some real-world problems then it does get you thinking.

 Precalculus with Trigonometry: Concepts and Connections By Paul Foerster. Following the line of his excellent textbooks for high school math.

New! Times Tales is now on DVD!

The fast, FUN, and easy way to learn multiplication. Learn the upper times tales in two sittings using mnemonic stories.