Probability

  • A cartoon to to help students remember that about 95% of data in a symmetric histogram lies within 2 standard deviations of the mean. Cartoon by John Landers (www.landers.co.uk) based on an idea from Dennis Pearl (The Ohio State University). Free to use in the classroom and on course web sites.
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  • A cartoon to teach about using summary statistics to draw out the salient features of a data set. Cartoon by John Landers (www.landers.co.uk) based on an idea from Dennis Pearl (The Ohio State University). Free to use in the classroom and on course web sites.
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  • A song to stress the importance of modeling in statistical analyses. Sung by Canadian singer Gurdeep Stephens. Lyrics copyright and music performed by Michael Greenacre of Pompeu Fabra University, Barcelona, Spain. May be sung to the tune of Duke Ellington and Irving Mills' 1932 big band standard "It Don't Mean a Thing (If It Ain't Got That Swing)"
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  • A webpage in which links are provided to histograms of sample statistics (mean, median, standard deviation, maximum etc.) as a function of sample size. Each time the REFRESH button is clicked a new set of 2000 samples is generated.
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  • Luck is the residue of design is a quote by American baseball executive Branch Rickey. The quote appeared in the February 21, 1946 issue of the "Sporting News". The quote is also often attributed to 17th century English poet John Milton - but that source has not been confirmed.
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  • This simulation involves a series of balls passing through bins to eventually yield a normal distribution. Information is also provided about what the normal distribution is.

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  • Probability plotter and calculator allows students to explore different distributions and their relationships. Interactive dialogue box allows students to change distribution shape and scaling parameters as well as allowing to explore cumulative probabilities. Discrete distributions include the discrete uniform, binomial, and the poisson. Continuous distributions include the uniform, beta, exponential, weibull, gamma, and lognormal distributions. Sampling distributions include the normal, the t-distribution, the chi-square, and the F-distribution.
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  • Amidst the strange vicissitudes of life, 'tis likely, most unlikely things should happen is a quote by Greek poet Agathon (448-400 BC). The quote is mentioned in Aristotle's (384 - 322 BC) book "Rhetoric". This version of the quote is found on page 357 of the 1823 "A New Translation of Aristotle's Rhetoric" by John Gillies.
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  • In this video (which lasts a little over 21 minutes), Oxford mathematician Peter Donnelly reveals the common mistakes humans make in interpreting statistics -- and the devastating impact these errors can have on the outcome of criminal trials.
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  • In this short 3 minute video, mathematician and magician Arthur Benjamin offers a bold proposal on how to make math education relevant in the digital age.

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