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42     UNIT 1  Exploring One-Variable Data



               21. Arizona heat  Here is a stemplot of the high tempera-      24.  Finch evolution  Biologists Peter and Rosemary Grant
                  ture readings (in degrees Fahrenheit) for Phoenix,   spent many years collecting data on finches in a remote
                  Arizona, for each day in July in a recent year:    47   part of the Galápagos Islands. Their research team
                                                                       caught and measured all of the birds in more than
                                   8 4                                 20 generations of finches. The back-to-back stemplot
                                   8                                   shows the beak depths (in millimeters) of 89 finches
                   © 2024 BFW Publishers PAGES NOT FINAL - For Review Purposes Only - Do Not Copy
                                   9 3
                                   9 799                               captured the year before a drought occurred and 89
                                   10 011223444                        finches captured the year after the drought occurred.    49
                                   10 556667788999                     Compare the distributions of beak depth in these two
                                   11 0113                             years.
                                   11 5

                     (a)   Why did we split the stems?                        Before drought  After drought
                 (b)   Give an appropriate key for this stemplot.                       2  6


                 (c)   Describe the shape of the distribution. Are there any            8  6      KEY:  10 | 0 = 10.0 mm
                                                                                                  beak depth
                  outliers?                                                           411  7 7  1 9
                                                                                       98
                 22.  Watch that caffeine!  The U.S. Food and Drug Admin-            44420  8  044
                                                                             9999977765555
                  istration (FDA) limits the amount of caffeine in a        444321111100000  8 9  778
                                                                                              0011123344
                  12-ounce can of carbonated beverage to 72 milligrams.   99999888887777655  9  5666666777789999
                  That translates to a maximum of 48 milligrams of caf-  444433322111111000  10  000222223333334444
                  feine per 8-ounce serving. Data on the caffeine content       8766655555  10  55555566666777778999
                                                                                          11
                                                                                              0000111134444
                                                                                      440
                  of popular soft drinks (in milligrams per 8-ounce serv-               7  11  5667
                  ing) are displayed in the stemplot.
                                 1  556                               Displaying Quantitative Data:  Histograms
                                 2  033344
                                 2  55667778888899                 25.    Carbon dioxide emissions  Burning fuels in power
                                 3  113                          pg 33  plants and motor vehicles emits carbon dioxide (  CO  ),


                                                                                                                 2
                                 3  55567778                           which contributes to global warming. The table dis-
                                 4  33                                 plays    CO   emissions in metric tons per person from 48

                                 4  77                                        2
                                                                       countries with populations of at least 20 million in a

                     (a)   Why did we split the stems?                 recent year.    50
                 (b)   Give an appropriate key for this graph.

                 (c)   Describe the shape of the distribution. Are there any    Country   CO 2   Country   CO 2   Country   CO 2

                  outliers?                                          Algeria      4.0   Italy      5.6   South Africa      8.2
                 23. Acorns and oak trees  Of the many species of oak trees in    Argentina      4.0   Japan      8.7   Spain      5.4
                  the United States, 28 grow on the Atlantic Coast and 11    Australia    16.3   Kenya      0.3   Sudan      0.5
                  grow in California. The back-to-back stemplot displays    Bangladesh      0.6   Korea, North      1.5   Tanzania      0.2
                  data on the average volume of acorns (in cubic centime-   Brazil      2.2   Korea, South    11.9   Thailand      4.1
                  ters) for these 39 oak species. Compare the distributions of    Canada    15.4   Malaysia      7.8   Turkey      4.9
                  acorn size for the oak trees in these two regions.    48
                                                                     China        7.1   Mexico      3.4   Ukraine      5.1
                       Atlantic Coast  California                    Colombia      2.0   Morocco      2.0   United Kingdom     5.5
                            998643  0  4                             Congo        0.6   Myanmar      0.5   United States    16.1
                        88864211111  1  06
                               50  2  06                             Egypt        2.5   Nepal      0.5   Uzbekistan      3.3
                              6640  3                                Ethiopia      0.2   Nigeria      0.7   Venezuela      4.1
                                8  4  1                              France       5.0   Pakistan      1.2   Vietnam      2.6
                                   5  59
                                8  6  0                              Germany      8.4   Peru      1.7
                                   7  1                              Ghana        0.5   Philippines      1.3
                                1  8                                 India        1.9   Poland      8.5
                                1  9
                                5  10     Key:  2|6 5 An oak species   Indonesia      2.3   Romania      3.9
                                  11      whose acorn volume         Iran         9.4   Russia    11.5
                                  12      is 2.6 cm . 3
                                  13                                 Iraq         5.6   Saudi Arabia    17.0
                                   14
                                   15
                                   16
                                   17  1


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