Song Lengths Side-by-side box-and-whisker plots can be used to compare two or more

Chapter 2, Problem 56

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Song Lengths Side-by-side box-and-whisker plots can be used to compare two or more different data sets. Each box-and-whisker plot is drawn on the same number line to compare the data sets more easily. The lengths (in seconds) of songs played at two different concerts are shown. 125 150 175 200 225 250 275 300 325 350 375 400 200 224 275 288 390 177 200 210 220 240 Concert 1 Concert 2 Song length (in seconds) (a) Describe the shape of each distribution. Which concert has less variation in song lengths? (b) Which distribution is more likely to have outliers? Explain your reasoning. (c) Which concert do you think has a standard deviation of 16.3? Explain your reasoning. (d) Can you determine which concert lasted longer? Explain.

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