Measures of Location

  • Statistically Speaking is a 5 minute 35 second video that can be used in discussing various concepts in descriptive statistics. The video was written, directed, and produced by Cameron W. Hatch and the cast includes (order of appearance) Mala Grewal, Sally Atkinson, Griffin Hatch, Jeff Hatch, Matt Burnham, and Sylvia Burnham.

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  • I abhor averages. I like the individual case. A man may have six meals one day and none the next, making an average of three meals per day, but that is not a good way to live. A quote by American Supreme Court Justice Louis Dembitz Brandeis (1856 - 1951) as quoted in "Brandeis: A Free Man's Life" by Alpheus Thomas Mason Viking Press, 1946; page 145). The quote also appears in "Statistically Speaking: A dictionary of quotations" compiled by Carl Gaither and Alma Cavazos-Gaither.

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  • Variability is the law of life, and as no two faces are the same, so no two bodies are alike, and no two individuals react alike and behave alike under the abnormal conditions which we know as disease. A quote by Canadian physician and medical educator Sir William Osler (1859 - 1919). The quote appears in William Osler: Aphorisms from his bedside teachings and writings, (Henry Schuman; 1950, page 104).

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  • This poem was written by Peter E. Sprangers while he was a graduate student in the Department of Statistics at The Ohio State University and published in "CMOOL: Central Moments Of Our Lives" (volume 1; 2006, issue 2). The poem took second place in the poetry category of the 2007 A-Mu-sing competition.

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  • This Haiku was written by Dr. Nyaradzo Mvududu of the Seattle Pacific University School of Education. The poem took first place in the 2007 A-Mu-sing competition.

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  • Statistic Acrostic is a poem by statistics educator Lawrence Mark Lesser and biostatistician Dennis K. Pearl that covers several statistical concepts using only 26 words (one starting with each letter of the alphabet). It was written in 2008 as a response to an example and challenge from JoAnne Growney in her poem “ABC, an Analytic Geometry Poem” in a 2006 article in Journal of Online Mathematics and Its Applications.  To expand the usefulness of this form for educational objectives, a teacher could have students not follow the 26-letter alphabet, but generate an acrostic from a statistics word or phrase.

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  • This applet generates confidence intervals for means or proportions. The options for confidence intervals for means include "z with sigma," "z with s," or "t." The options for confidence intervals for proportions are "Wald," "Adjusted Wald," or "Score." Users set the population parameters, sample size, number of intervals, and confidence level. Click "Sample," and the applet will graph the intervals. Intervals shown in green contain the true population mean or proportion, while intervals in red do not. The true mean or proportion is shown by a blue line. The applet displays the proportion of intervals containing the population parameter for each sample and a running total of all the samples. Users can also click on a particular interval to display the numerical interval or sort the displayed confidence intervals from smallest to largest. This applet is part of a collection designed to accompany the textbook "Investigating Statistical Concepts, Applications, and Methods" (ISCAM) and is used in Exploration 4.3 on page 327, Investigation 4.3.6 on page 331, and Exploration 4.4 on page 350. This applet also supplements "Workshop Statistics: Discovery with Data," 2nd edition, Activity 19-5 on page 403. Additional materials written for use with these applets can be found at http://www.mathspace.com/NSF_ProbStat/Teaching_Materials/rowell/final/16_cireview_bc322_2.doc and http://www.mathspace.com/NSF_ProbStat/Teaching_Materials/rowell/final/15_sampdistreview_bc322_1.doc.
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  • This lecture example discusses calculating chance with probabilities (a ratio of occurrence to the whole) or odds (a ratio of occurrence to nonoccurrence). It presents a clinical example of measuring the chance of initiating breastfeeding among 1000 new mothers. Tables are provided in pdf format.
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  • A cartoon to teach how it is important to look at variation, not just averages. 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 interpreting observational studies. 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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