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

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.

PPM WTBHDN BFS HLP RBS RVR SPL TBS YSB ABR LIB 110 108 109 106 114 125 121 8052 183 130 23 4 112 119 119 121 123 136 11 124100 188 158 66 4 119 124 131 122 124 138 127 157105 191 194 72 145 124 128 132 123 125 139 129 157123 193 207 91 15 125 129 135 132 128 143 135 158124 195 227 96 17 125 133 140 135 137 147 145 163137 212 388 117 187 142 136 140 143 138 147 149 164138 230 144 147 144 150 148 150 150 166 144 236 146 149 152 151 149 153 157 169148 240 147 152 153 153 153 162 158 210160 255 153 156 158 153 155 163 159 217162 269 158 167 158 153 156 164 177 307163 285 175 167 166 163 173 170 181 333163 493 177 182 125 213 146 217 165 217 171 227 183 232 185 241 167 174 174 182 213 242 175 190 202 181 467

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a The median song length in minutes for each album is summarized in the following table Album Median PPM 1430 WTB 1415 HDN 1400 BFS 1465 HLP 1430 RBS ... View full answer

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