# One Numerical Variable

• ### Song: X-bar 12-bar Blues

A song video about major conceptual properties of the mean, as identified in the statistics education literature. Music and lyrics (c) 2018 Lawrence M. Lesser, where Verses 2,3,4, and 7 use properties from Strauss & Bichler's 1988 JRME article while Verses 5 and 6 use concepts listed in Pre-K-12 GAISE Report.

• ### Dancing Variance

A video using dance to teach about the concept of variance involved.  This 2013 video is from the “Dancing Statistics” series developed by Lucy Irving from Middlesex University (UK) funded by a BPS Public Engagement grant and additional funding from IdeasTap.  Full credits are within the video.   The Dancing Statistics project is described at https://www.frontiersin.org/articles/10.3389/fpsyg.2015.00050/full

The video also comes with teaching notes for viewing by instructors who are logged into CAUSEweb.org.

• ### Cartoon: Sales Graph

A cartoon that can help in discussing how context matters in thinking about trend and "Seasonal" patterns in time series.The cartoon was used in the July 2018 CAUSE cartoon caption contest and the winning caption was written by Karsten Luebke from FOM University in Germany. The cartoon was drawnby British cartoonist John Landers (www.landers.co.uk) based on an idea by Dennis Pearl from Penn State University.

• ### Song: Empirical Rule

A song to help students remember the empirical rule that it is rare to see an observation more than three sd's away from the mean, while about 19 out of 20 will fall within two sd's and about 2 out of 3 within one sd.  The lyrics were weritten in 2017 by Lawrence M Lesser from The University of Texas at El Paso and may be sung to the tune of "Material Girl" written by Peter Brown and Robert Rans and populartized by Madonna. Audio of the parody was produced by Nicolas Acedo Aguilar and sung by Alexandria Campos, students in the commercial music program of The University of Texas at El Paso.

• ### Introduction to Statistics (NASA Lesson)

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).

• ### Using Computers for Statistical Analysis (NASA Activity)

This lesson introduces students to creating spreadsheets for statistical analysis.

• ### Team Extreme: The Statistics of Success (NASA Activity)

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.

• ### A Dusty Dilemma (NASA Activity)

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.

• ### Rice Virtual Lab Case Studies

Examples of real data/studies and their analyses and interpretation.

• ### Song: My Family's Mean

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).