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84     UNIT 1  Exploring One-Variable Data



               UNIT 1, PART I AP® STATISTICS PRACTICE TEST



               Section I: Multiple Choice  Select the best answer for each question.

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               T1   An airline records data on several variables for each of   (A)  45.          (D)  32.
                    its flights: model of plane, amount of fuel used, time   (B)  44.            (E)  23.
                    in flight, number of passengers, and whether the flight   (C)  43.
                    arrived on time. The number and type of variables
                    recorded are                                   Questions T4–T6 refer to the following setting. Realtors col-
                    (A)  1 categorical, 4 quantitative (1 discrete,     lect data so that they can serve their clients more effectively.
                       3 continuous).                              In a recent week, data on the age of all homes sold in a par-
                                                                   ticular area were collected and displayed in this histogram.
                    (B)  1 categorical, 4 quantitative (2 discrete,
                       2 continuous).                                         10
                                                                               9
                    (C) 2 categorical, 3 quantitative (1 discrete,             8
                       2 continuous).                                          7
                    (D) 2 categorical, 3 quantitative (2 discrete,             6
                       1 continuous).                                        Frequency  5 4
                    (E)  3 categorical, 2 quantitative (1 discrete,            3
                       1 continuous).                                          2
                                                                               1
               T2   The bar graph summarizes responses of dog own-             0
                    ers to the question, “Where in the car do you let           0  5  15  25  35  45  55  65  75
                    your dog ride?” Which of the following statements                 Age of home (years)
                    is true?
                                                                   T4   Which of the following could be the median age?
                                                                        (A)  19 years            (D)  34 years
                        70
                                                                        (B)  24 years            (E)  39 years
                        60                                              (C)  29 years
                       Percent  50                                 T5   Which of the following is most likely true for this
                        40
                        30                                              distribution?


                        20                                              (A)  mean >  median, range <  IQR


                             Back   Front  Floor  Passenger’s Driver’s  (B)  mean <   median, range <   IQR
                             seat  passenger      lap    lap


                                    seat                                (C) mean >   median, range >   IQR
                                   Where does the dog ride?


                                                                        (D) mean <   median, range >   IQR
                                                                        (E)  mean = median, range >   IQR

                    (A)  A majority of owners do not allow their pets to
                       ride in the front passenger seat.           T6   The standard deviation of the distribution of home
                    (B)  About twice as many pets are allowed to sit in the   age is about 16 years. Which of the following is a cor-
                       front passenger seat as in the passenger’s lap.  rect interpretation of this value?
                    (C) The vertical axis scale should start at 0.      (A)  The age of all houses in the sample is within 16
                    (D) These data could also be presented in a pie chart.  years of the mean age.
                    (E)  The distribution of where the dog rides is skewed   (B)  The gap between the youngest and oldest house
                       to the right.                                       is 16 years.
                                                                        (C) The age of all the houses in the sample is 16 years
               T3   Forty students took a statistics test worth 50 points.   from the mean age.
                    The dotplot displays the data. The third quartile is
                                                                        (D) The gap between the first quartile and the third
                                                                           quartile is 16 years.
                 0   5   10   15  20   25  30   35  40   45  50         (E)  The age of the houses in the sample typically var-
                                    Test score                             ies by about 16 years from the mean age.





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