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78     UNIT 1  Exploring One-Variable Data



                  (A)  Mean will increase and standard deviation will   (A)                    (D)
                      increase.
                  (B)  Mean will increase and standard deviation will     0  2  4  6  8  10 12    0  2  4  6  8  10 12
                      decrease.                                                   Data                    Data
                  (C) Mean will increase and standard deviation will
                      stay the same.                                   (B)                     (E)
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                  (D) Mean will decrease and standard deviation will
                      increase.                                           0  2  4  6  8  10 12    0  2  4  6  8  10 12
                  (E)  Mean will decrease and standard deviation will             Data                    Data
                      decrease.
               45.  The stemplot shows the number of home runs hit by   (C)
                  each of the 30 Major League Baseball teams in a single
                  season. Home run totals greater than what value should   0  2  4  6  8  10 12
                  be considered outliers?                                        Data

                                                                   Recycle and Review   Practice what you learned in previous sections.
                              09 15
                              10 3789                              47.  How tall are you? (1C) We chose a random sample of
                              11 47                                    50 Canadian students who completed an online survey
                              12 19                                    that included the question, “How tall are you without
                              13                                       your shoes on? Answer to the nearest half-centimeter.”
                              14 89
                              15 34445                                 Here are the students’ responses:
                              16 239                              166.5 170.0 178.0 163.0 150.5 169.0 173.0 169.0 171.0 166.0
                              17 223
                              18 356                              190.0 183.0 178.0 161.0 171.0 170.0 191.0 168.5 178.5 173.0
                              19 1                                175.0 160.5 166.0 164.0 163.0 174.0 160.0 174.0 182.0 167.0
                              20 3        Key:  14|8 is a
                              21 0        team with 148           166.0 170.0 170.0 181.0 171.5 160.0 178.0 157.0 165.0 187.0
                              22 2        home runs.              168.0 157.5 145.5 156.0 182.0 168.5 177.0 162.5 160.5 185.5
                                                                       Make an appropriate graph to display the data. Describe
                  (A)  173                                             the shape, center, and variability of the distribution.
                  (B)  210                                             Are there any outliers?
                  (C) 222                                          48.  Climate change insurance? (1A, 1B) Qualtrics con-
                                                                       ducted a survey of 1070 randomly selected U.S.
                  (D) 229                                              homeowners. Respondents were asked, “How much extra
                  (E)  257                                             would you be willing to spend per year on insurance pol-
                                                                       icies that focus on coverage for climate change–induced
               46.  Which of the following boxplots best matches the dis-  risks?” The bar graph summarizes the responses. 91
                  tribution shown in the histogram?
                                                                       45
                                                                       40
                                                                       35
                                                                       30
                                                                     Percent  25
                                                                       20
                                                                       15
                                                                       10
                                                                       5
                       0    2    4    6    8    10   12
                                    Data                               0
                                                                           Nothing  $500 or less  $501–$750  $751 –$1000  More than
                                                                               Amount extra you are willing to spend  $1000

                                                                   (a)  Identify the individuals and the variable displayed in
                                                                       the bar graph. Is the variable categorical or quantita-
                                                                       tive? Justify your answer.
                                                                   (b)  Describe what you see.



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