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One Numerical Variable

  • This website provides a comprehensive overview of descriptive statistics (mean/median/mode, range, standard deviation, and variance) through informative webpages with examples, links to data sets, and problems for the readers to try for themselves.

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  • A song for use in helping students to recognize how a change in units affects the variance (since variance is expressed in squared units).  Music & Lyrics by Tom Toce, ©2015 Retrograde Music.  This song is part of an NSF-funded library of interactive songs that involved students creating responses to prompts that are then included in the lyrics (see www.causeweb.org/smiles for the interactive version of the song, a short reading covering the topic, and an assessment item).

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  • This is a chapter on ethics excerpted from a book on data science. The book is “Modern Data Science with R,” and the authors are Benjamin J. Baumer, Daniel T. Kaplan, and Nicholas J. Horton. The chapter presents several ethical dilemmas, then a framework to use when evaluating ethical issues. Then it discusses the dilemmas again, now resolving them.

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  • A song to be used in discussing how the mean and standard deviation work well in describing symmetric distributions while the median and IQR are valuable when you need more resistant measures for skewed distributions. 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 “Faithfully,” the 1983 ballad by the band Journey. Also, an accompanying video may be found at
    https://www.youtube.com/watch?v=b8lry78zBWE See also the companion song “Which Measure and Spread to Use” also written by Mary McLellan with the same learning objective.

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  • A song to be used in discussing how the mean and standard deviation work well in describing symmetric distributions while the median and IQR are valuable when you need more resistant measures for skewed distributions. 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 1976 pop song “Dancing Queen,” by ABBA. Also, an accompanying video may be found at
    https://www.youtube.com/watch?v=b5-wg3OYUIE See also the companion song “Which Measure Should I Choose” also written by Mary McLellan with the same learning objective.

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  • 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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