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Measures of Location

  • These pages explain the following basic statistics concepts: mean, median, mode, variance, standard deviation and correlation coefficient (with example from the Institute on Climate and Planets).

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  • This lesson introduces students to creating spreadsheets for statistical analysis.

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  • This program focuses on the teamwork required to produce a successful mission and the importance of statistics in project design and management. Using the video and a hands-on lesson, students learn about statistical analysis and how people use statistics, such as mean, median, mode and range, to make decisions. Members of the Penske Racing Team and engineers from Pratt & Whitney Rocketdyne help students investigate the relationship between work, energy and power as they look at race car design, the space shuttle and the International Space Station.

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  • The Student Dust Counter is an instrument aboard the NASA New Horizons mission to Pluto, launched in 2006. As it travels to Pluto and beyond, SDC will provide information on the dust that strikes the spacecraft during its 14-year journey across the solar system. These observations will advance human understanding of the origin and evolution of our own solar system, as well as help scientists study planet formation in dust disks around other stars. 

    In this lesson, students learn the concepts of averages, standard deviation from the mean, and error analysis. Students explore the concept of standard deviation from the mean before using the Student Dust Counter data to determine the issues associated with taking data, including error and noise. Questions are deliberately open-ended to encourage exploration.

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  • A song for use in helping students to reason about mean and median and the effect of an outlier.  Lyrics & Music © 2016 Amy Adler. 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 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 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 video to teach about the central limit theorem and various issues in one-sample hypothesis testing. The lyrics and video were created by Scott Crawford from the University of Wyoming. The music is from the 1988 song "I'm Gonna Be (500 miles)" by the Scottish band The Proclaimers. The video took second place in the video category of the 2013 CAUSE A-Mu-sing competition. Free for non-profit use in classroom and course website applications.
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  • A video to dispel myths about Statistics and excite students early in a course. The lyrics and video were created by Scott Crawford from the University of Wyoming. The music is from the 2000 song "Where Are You, Christmas? " written by James Horner and Will Jennings for the movie "How the Grinch Stole Christmas". The video received an honorable mention in the video category of the 2013 CAUSE A-Mu-sing competition. Free for non-profit use in classroom and course website applications.
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