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46     UNIT 1  Exploring One-Variable Data



               For Investigation Apply the skills from the section in a new    (b)  Do these data provide evidence that vitamin C helps
               context or nonroutine way.                              teeth grow in guinea pigs similar to the ones used in
               38.  Population pyramids The histograms show the age    this experiment? Justify your answer.
                  distribution of the population in Australia and Ethiopia
                  in a recent year from the U.S. Census Bureau’s interna-  Multiple Choice  Select the best answer for each question.
                               59
                  tional database.  (This type of graph is referred to as a   40.  Here are the amounts of money (cents) in coins carried
                   © 2024 BFW Publishers PAGES NOT FINAL - For Review Purposes Only - Do Not Copy
                  population pyramid.)                                 by 10 students in a statistics class: 50, 35, 0, 46, 86, 0,
                                                                       5, 47, 23, 65. To make a stemplot of these data, you
                                                                       would use stems
                      100
                       90                         Australia            (A)  0, 2, 3, 4, 5, 6, 8.
                       80                         Ethiopia
                       70                                              (B)  0, 1, 2, 3, 4, 5, 6, 7, 8.
                     Age  60                                           (C) 0, 3, 5, 6, 7.
                       50
                       40
                       30                                              (D) 00, 10, 20, 30, 40, 50, 60, 70, 80, 90.
                       20
                       10                                              (E)  None of these.
                        0
                         10     5      0     5      10    15       41.  The histogram shows the heights (in inches) of 300
                                    Percentage of population           randomly selected high school students. Which of the
                                                                       following is the best description of the shape of the dis-
                                                                       tribution of height?
               (a)  The total population of Australia at this time was about
                  26 million. Ethiopia’s population was about 111 mil-    70
                  lion. Why did we use percentages rather than counts     60
                  on the horizontal axis?
                                                                          50
               (b)  What important differences do you see between the
                  age distributions? Be specific.                        Frequency  40

               39.  Vitamin C and teeth Researchers performed an exper-   30
                  iment with 60 guinea pigs to investigate the effect of   20
                  vitamin C on tooth growth. Each animal was randomly
                  assigned to receive one of three dose levels of vitamin   10
                  C (0.5, 1, or 2 mg/day). The response variable was       0
                  the length of odontoblast cells (responsible for tooth       52   56   60   64   68   72  76
                  growth), in micrometers (µm). Here is a special type of                  Height (in.)
                  dotplot that displays the data: 60
                                                                       (A)  Roughly symmetric and single-peaked (unimodal)
                                                                       (B)  Roughly symmetric and double-peaked (bimodal)
                                                                       (C)  Roughly symmetric and multi-peaked (multimodal)
                             30
                                                                       (D) Skewed to the left
                           Cell length (µm)  20                    42.  The dotplot shows the tuition (to the nearest $1000) for
                                                                       (E)  Skewed to the right

                                                                       the 63 largest colleges and universities in North

                             10                                        Carolina in a recent year. 61



                                   0.5     1       2
                                        Dose (mg)

                                                                          5  10  15  20  25  30  35  40  45  50  55
               (a)  How does this dotplot differ from the ones shown in                Tuition ($1000s)
                  this section?








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