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SecTIoN 1c  Exercises   43


                      (a)  Make a histogram of the data using intervals of width 2,   4.2   4.0  3.9  3.8  3.7  4.7
                          starting at 0.                                              3.4   4.0  4.4  5.0  4.6  3.7

                      (b)  What proportion of countries had CO  emissions of at       4.6   4.4  4.1  3.0  3.2  4.7
                                                        2
                          least 10 metric tons per person?                            3.5   3.7  4.3  3.7  4.8  4.4
                                                                                      4.2   4.7  6.2  4.0  7.0  3.9
                      26.  Traveling to work How long do people travel each day       3.4   3.4  2.9  3.3  4.0  4.2
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                          to get to work? The following table gives the average       3.2   3.4  3.7  3.5  3.4  3.7
                          travel times to work (in minutes) in a recent year for      3.9   3.7  3.8  3.1  3.7  3.6
                          workers in each state and the District of Columbia who
                          are at least 16 years old and don’t work at home. 51        4.5   3.7
                                                                          29.  Returns on common stocks The return on a stock
                             Travel time      Travel time      Travel time    is the change in its market price plus any dividend
                               to work        to work          to work        payments made. Return is usually expressed as a per-
                       State    (min)  State   (min)   State    (min)
                                                                              centage of the beginning price. The figure shows a
                        AL      24.9    KY      23.6    ND      17.3          histogram of the distribution of monthly percent return
                        AK      19.1    LA      25.7    OH      23.7          for the U.S. stock market (total return on all common
                        AZ      25.7    ME      24.2    OK      21.9          stocks) in 273 consecutive months. 52
                        AR      21.7    MD      33.2    OR      23.9
                        CA      29.8    MA      30.2    PA      27.2              80
                        CO      25.8     MI     24.6     RI     25.2
                        CT      26.6    MN      23.7    SC      25.0              60
                        DE      26.3    MS      24.8    SD      17.2            Number of months
                        DC      30.8    MO      23.9    TN      25.2              40
                        FL      27.8    MT      18.3    TX      26.6              20
                        GA      28.8    NE      18.8    UT      21.9
                        HI      27.5    NV      24.6    VT      23.3               0
                        ID      21.1    NH      27.5    VA      28.7                 225  220  215  210  25  0  5  10  15
                         IL     29.2    NJ      32.2    WA      28.0                    Monthly percent return on common stocks
                        IN      23.8    NM      22.3    WV      25.9      (a)  A return less than zero means that stocks lost value in
                        IA      19.3    NY      33.6    WI      22.2          that month. About what percentage of all months had
                        KS      19.4    NC      24.8    WY      17.9          returns less than zero?
                                                                          (b)  Describe the shape of the distribution. Are there any
                      (a)  Make a histogram to display the travel time data using   outliers?
                          intervals of width 2 minutes, starting at 16 minutes.
                                                                          (c)  Estimate the center and variability of the distribution.
                      (b)  In what proportion of states plus the District of Columbia
                          is the average travel time at least 20 minutes?  30.  More healthy cereal? Researchers collected data on
                                                                              calories per serving for 77 brands of breakfast cereal.
                      27.  Home runs Here are the number of home runs hit by   The histogram displays the data. 53
                          each of the 30 Major League Baseball teams in a single
                          season. Make a histogram that effectively displays the    30
                          distribution of number of home runs hit. Describe the
                          distribution.                                             25
                                                                                    20
                       220  249  213  245  256  182  227  223  224  149
                       288  162  220  279  146  250  307  242  306  257            Frequency  15
                       215  163  219  239  167  210  217  223  247  231             10

                      28.  Country music Here are the lengths, in minutes, of        5
                          50 songs by country artist Dierks Bentley. Make a his-     0
                          togram that effectively displays the distribution of song    50 60 70 80 90 100 110 120 130 140150 160
                          length. Describe the distribution.                                        Calories

                                                                          (a)  About what percentage of the cereal brands have 130
                                                                              or more calories per serving?



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