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SecTIoN 1c  Exercises   39


                         Displaying Quantitative Data:  Dotplots                (a)    The dot above   −3  is for the Toyota Prius. Explain what

                            3.  Women’s soccer  How good was the 2019 U.S.    this dot represents.
                     pg 23  women’s soccer team? With players like Carli Lloyd,     (b)   What does the graph tell us about fuel economy in the

                          Alex Morgan, and Megan Rapinoe, the team put on     city versus on the highway for these car models? Be
                          an impressive showing en route to winning the 2019   specific.
                          Women’s World Cup. Here are data on the number of
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                          goals scored by the team in games played in the 2019      Describing Shape
                          season:    40                                   7.     Getting older and random digits
                                                                         pg 25
                       1 1 2 2 1 5 6 3 5 3 13 3 2 2 2 2 2 3 4 3 2 1 3 6      (a)   How old is the oldest person you know? Prudential

                            (a)   Make a dotplot of these data.               Insurance Company asked 400 people to place a

                                                                              blue sticker on a huge wall next to the age of the
                        (b)   In what proportion of games did the team score 4 or   oldest person they have ever known. An image of

                          more goals?                                         the graph is shown here. Describe the shape of the
                        4.  Fuel efficiency  The Environmental Protection     distribution.
                          Agency (EPA) is in charge of determining and
                          reporting fuel economy ratings for cars. Here are the
                          EPA estimates of highway gas mileage in miles per
                          gallon (mpg) for a sample of 21 model-year 2022
                          midsize cars:    41

                               25 30 27 31 38 26 28 40 25 28 30
                               31 30 30 34 30 31 31 32 48 31

                            (a)   Make a dotplot of these data.
                        (b)   What percentage of the car models in the sample get


                          more than 35 mpg on the highway?                    (b)   The dotplot displays the results of using a random
                                                                              number generator to produce 100 digits between 0 and
                        5.  More women’s soccer  The following dotplot shows   9, inclusive. Describe the shape of the distribution.
                          the difference in the number of goals scored (U.S.


                          women’s team  −  Opponent) in each game from
                          Exercise 3.




                              –2   0   2   4    6   8   10  12   14         0    1    2    3    4    5    6   7    8    9
                                 Difference in goals (U.S. team – Opponent)                 Random integer

                                                                              8.  Roll the dice and family ages
                            (a)   Explain what the dot above   2 represents.
                                                −





                                                                             (a)   The dotplot shows the results of rolling a pair of fair,
                        (b)   What does the graph tell us about how well the team   six-sided dice and finding the sum of the up-faces 100

                          did in 2019? Be specific.                           times. Describe the shape of the distribution.
                        6.  Better fuel efficiency  The following dotplot shows the

                          difference in EPA mileage ratings (Highway   − City)


                          for each of the 21 model-year 2022 midsize cars from
                          Exercise 4.
                           –4   –2   0   2    4   6    8   10  12   14
                                  Difference in gas mileage (Highway – City)      2   3  4   5   6   7  8   9  10  11  12
                                                                                        Sum of the up-faces on a pair of dice






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