At the beginning of this chapter, we presented some information on the 12 studio albums by The

Question:

At the beginning of this chapter, we presented some information on the 12 studio albums by The Beatles, specifically, names, release dates, and number of songs per album. The following table gives the lengths, in seconds, of the songs, by album: Please Please Me (PPM), With The Beatles (WTB), A Hard Day's Night (HDN), Beatles for Sale (BFS), Help! (HLP), Rubber Soul (RBS), Revolver (RVR), Sgt. Pepper's Lonely Hearts Club Band (SPL), The Beatles (TBS), Yellow Submarine (YSB), Abbey Road (ABR), and Let It Be (LIB). Note that the albums are ordered by release date (PPM was the first album released, WTB was the second album released, etc.). We have arranged the song-length data for each album in increasing order.

a. Determine the median song length of each album.
b. Construct a graph with album name on the horizontal axis and median song length on the vertical axis. Interpret your graph, keeping in mind that the albums are ordered by release date.
c. Determine the range of song lengths for each album.
d. Construct a graph with album name on the horizontal axis and range of song lengths on the vertical axis. Interpret your graph.
e. Find the quartiles of song length for each album.
f. Determine the IQR of song lengths for each album.
g. Construct a graph with album name on the horizontal axis and IQR of song lengths on the vertical axis. Interpret your graph.
h. Find the lower and upper limits of song length for each album. Use them to identify potential outliers.
i. For each album, construct a boxplot of the song lengths, and interpret your results in terms of the variation of the song lengths.