Page 163 - Math Course 1 (Book 2)
P. 163

Misleading Graphs




                                                                  Accuracy of Predictions and Conclusions
                Your Turn!

                                                                   WEATHER
                Real World Example                                 According to the graph, the difference between the
                                                                   number of days with temperatures 20°F–49°F and
                                                                   50°F–79°F is the same as the difference between
                                                                   50°F–79°F and 80°F–99°F. Determine whether this
                                                                   statement is accurate. Justify your reasoning.

                                                                              Daily High Temperature


                                                                      Number of Days









                                                                                 Temperature(°F)



                                                                   A. Yes, the bars for the 20°F–49°F interval and the
                                                                        50°F–79°F interval are 1½ lines apart and so
                                                                        are the bars for the 50°F–79°F interval and the
                                                                        80°F–99°F interval.

                                                                   B. No, the difference between the number of days
                                                                        in the 20°F–49°F  interval and the 50°F–79°F
                                                                        interval is 25 while the difference between the
                 ATTENDANCE                                             50°F–79°F interval and the 80°F–99°F interval is
                 The graphs show the increase in attendance at a          20.
                 public elementary school. Why do the graphs look
                 different?                                        C. Yes, the intervals on the horizontal axis are all
                                                                        evenly spaced
                 A. The vertical scales differ.
                 B. The vertical axis does not include zero.       D. Yes, the numbers on the vertical axis are all
                 C. There are no labels on either side.                 evenly spaced.
                 D. The horizontal scales differ.

                   Answer                                             Answer

                 The graphs show the increase in attendance at a
                 public elementary school. Which graph appears to
                 show a more rapid increase in attendance between
                 2002 and 2003? Explain.

                 A. Graph A; The slope of the line from 2002 to 2003
                      is steeper in graph A.

                 B. Graph B; The slope of the line from 2002 to 2003
                     is steeper in graph B.

                 C. Both graphs show the same increase from 2002
                     to 2003.

                 D. cannot be determined

                   Answer

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