One Numerical Variable

  • A song to be used in discussing how measures of location and variation change when you add subtract, multiply, or divide every number on a list by a constant. The lyrics were written by Mary McLellan from Aledo High School in Aledo, Texas as one of several dozen songs created for her AP statistics course. The song may be sung to the tune of the Scottish children’s folk song “BINGO.” Also, an accompanying video may be found at
    https://www.youtube.com/watch?v=85A2faQ4QaA

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  • A song that may be used in discussing how to describe the distribution seen in a histogram by providing the shape and using statistical measures of location, variability, and deviations from the overall pattern (outliers). The lyrics were written by Mary McLellan from Aledo High School in Aledo, Texas as one of several dozen songs created for her AP statistics course. The song may be sung to the tune of the 2011 pop song We Are Young, by the band Fun. Also, an accompanying video may be found at https://www.youtube.com/watch?v=Kkjlhdc5hlk

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  • A quote to aid in discussing the foundational idea in statistics of the importance of understanding the nature of uncertainty. The quote is by Israeli-American educator, computer scientist, and co-founder of the Coursera online platform Daphne Koller (1968 - ). The quote is found in the May 3, 2008 New York Times story on Dr. Koller.
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  • This online software allows you to load data and make professional-looking graphs with it. Graph types are basic (scatterplot, line plot, bar charts, etc.), statistical (histograms, box plots), scientific (error bars, heat map, contour), 3D charts, and financial (e.g. time series). Other graphs are available with the paid pro version. Log in is required, which allows you to upload data and save it for next use.

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  • This online application allows the user to import data from online resources such as Facebook, Google Analytics, GitHub, as well as spreadsheets on their own computers. They can then drag-and-drop variables to make graphs automatically. The basic version is free, but you can upgrade to a paid version which allows combining data across services and, if the data come from an online resource, the user has the choice to have Data Hub keep the graphs updated as the data changes.
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  • A song to aid in teaching about time series plots and the three principal things to look for in them: long term trends, seasonal or other cyclic patterns, and random fluctuations. The song may to sung to the tune of "You've Got a Friend" by Carole King from her 1971 Tapestry album (and later popularized by James Taylor). The lyrics to the parody were written in 2017 by Dennis K Pearl from Penn State University and Lawrence M Lesser from The University of Texas at El Paso. The audio was produced by Nicolas Acedo with vocals by Erika Araujo, both students in the Commercial Music Program at The University of Texas at El Paso.

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  • A joke written by Larry Lesser from The University of Texas at El Paso to highlight the difference between concepts of central tendency and variation.
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  • A cartoon to be used for discussing the value of data visualizations. The cartoon was used in the August 2016 CAUSE Cartoon Caption Contest. The winning caption was submitted by Barb Osyk from the University of Akron, while the drawing was created by John Landers using an idea from Dennis Pearl. Other honorable mentions that rose to the top of the judging included "I told you exploded pie charts are dangerous!" written by Aaron Profitt from God’s Bible School and College; "Liar liar, data on fire," written by Mickey Dunlap from University of Tennessee at Martin: and "I warned you about using hot deck imputation when you have so much missing data!" written by Elizabeth Stasny, from The Ohio State University. (to use this cartoon with an alternate caption simply download and replace the caption using a bolded comic sans font)
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  • A cartoon to be used for discussing z-scores. The cartoon was used in the September 2016 CAUSE Cartoon Caption Contest. The winning caption was submitted by Amy Nowacki from Cleveland Clinic/Case Western Reserve University, while the drawing was created by John Landers using an idea from Dennis Pearl. A second winning caption "Even a crash course in model-fitting will need to consider distributions other than normal," was by Eugenie Jackson, a student at University of Wyoming, is well-suited for starting a conversation about the normality assumption in statistical models.(see "Cartoon: Pile-UP I") Honorable mentions that rose to the top of the judging in the September caption contest included "Big pile-up at percentile marker -1.96 on the bell-curve. You might want to take the chi-square curve to avoid these negative values," written by Mickey Dunlap from University of Tennessee at Martin; "Call the nonparametric team! This is not normal!” written by Semra Kilic-Bahi of Colby-Sawyer College; "I assumed the driving conditions today would be normal!" written by John Vogt of Newman University; and "CAUTION: Z- values seem smaller than they appear. Slow down & watch for stopped traffic reading these values,” written by Kevin Schirra, a student at University of Akron.
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  • A song about the use of the range to measure variation. The song may be sung to the tune of "Home on the range" the classic western song based on a poem by Brewster Higley of Smith county Kansas published in 1873 and music by Texas composer David Guion. The lyrics for this parody were written by Professor Lawrence Lesser of The University of Texas at El Paso.
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