Resource Library

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.

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.

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

A song to be used in discussing the notation for correlation with an accompanying video that includes information about interpreting the correlation. 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 accompanying video may be found at
https://www.youtube.com/watch?v=I1DenVRr3Ds The song may be sung to the tune of “Play that Funky Music,” the 1976 hit written by Rob Parissi and performed by the band Wild Cherry.

A song for use in discussing the interpretation of the root mean squared error – or the standard deviation of the residuals. 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 to be sung to the tune of Michael Jackson’s 1982 hit song “Billy Jean.” Also, an accompanying video may be found at https://www.youtube.com/watch?v=RW-Rfn86CSQ

A song to aid in discussing the idea that the regression line is itself random and understanding the idea of the standard deviation of the estimated slope. 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 2015 hit song “Hello,” by English singer Adele. Also, an accompanying video may be found at
https://www.youtube.com/watch?v=nJgYTKsVYQw

A song to be used in discussing Simpson’s Paradox and the perils of aggregation. 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 1980 hit “Another One Bites the Dust,” written by John Deacon and recorded by the British rock band Queen. Also, an accompanying video may be found at
https://www.youtube.com/watch?v=UUauaBKEJWM

A song to be used in discussing how the correlation coefficient is invariant to linear transformations (or just reverses sign when values are multiplied by a negative number). 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 1980 song “Hit Me With Your Best Shot,” written by Eddie Schwartz and popularized by Pat Benatar. Also, an accompanying video may be found at https://www.youtube.com/watch?v=t-LtFLuA5VY

A song to be used in discussing the idea that the point of averages (x-bar, y-bar) always lies on the regression line. 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 2014 hit “Shake it Off,” by Taylor Swift. Also, an accompanying video may be found at https://www.youtube.com/watch?v=XeVR2024dY0

A song that may be used in discussing the interpretation of the Y-intercept in a simple linear regression and the idea that the estimated Y-intercept may not make sense in the context of the problem (for example, taking impossible values or when X can never be zero) . 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 2013 song “Wrecking Ball,” by Miley Cyrus. Also, an accompanying video may be found at
https://www.youtube.com/watch?v=KNw4B71UsqY