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Examples Are Your Friends



                 Study the examples for detailed instruction, with text and video guidance, for every concept and
               skill in the course.




                     Examples are the heart of the program.
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                 EXAMPLES.  Each example title is followed by the
                 content and skills being taught and a “play button” link
                 to a  Worked Example Video. These videos were

                                     ®
                 prepared by experienced AP  Statistics teachers, to help
                 you study, review, and get extra help, when needed.
                6   UNIT 1  Exploring One-Variable Data

                                     We can use a frequency table or a relative frequency table to help describe the
                                  distribution of a variable, as the following example illustrates.


                       EXAMPLE    call me, maybe?                        Skills 2.A, 2.B
                                    Summarizing data with tables


                       PROBLEM:   Here are the data on preferred method of communicating

                 with friends for all 50 students in the Census at School sample:
                   Internet chat/IM   In person    In person    Internet chat/IM   Phone call
                   Text messaging    Text messaging   Text messaging    Social media    Social media
                   Text messaging    Text messaging   Text messaging    In person    In person
                   Text messaging    Text messaging   Text messaging    In person    In person   SDI Productions/E+/Getty Images
                   Text messaging    Text messaging   Internet chat/IM    Social media    Text messaging
                   Text messaging    Text messaging   In person    Text messaging    Internet chat/IM
                   Text messaging    Social media    Text messaging    Social media    Text messaging
                   Text messaging    In person    Social media    In person    Text messaging
                   Text messaging    Text messaging   Text messaging    Internet chat/IM   In person
                   Text messaging    In person    Internet chat/IM    Text messaging    In person       THE VOICE OF THE TEACHER.  Pay
                                                                                    special attention to the carefully placed
                    (a)   Make a frequency table and a relative frequency table to summarize the distribution of preferred
                    communication method.                                           “teacher talk” boxes that guide you
                   (b)   Do these data support the claim that a majority of students prefer to communicate with their friends using text   through the solution. These comments
                   messaging? Justify your answer.
                                                                                    offer lots of good advice — as if your
                       SOLUTION:
                     (a)          Frequency table     The frequency table shows the  number  of students who prefer   teacher is working directly with you to
                     Preferred method    Frequency   each communication method. To create the frequency table, count   solve a problem.
                     In person    12           how many students said “In person,” how many said “Internet chat
                     Internet chat/IM      6   or instant messenger,” and so on.      Note that the  SOLUTION  is presented in
                     Phone call      1
                     Social media      6                                            a special font to model the style, steps,
                     Text messaging    25                                           and language you should use to earn
                     Total        50
                                                                                                  ®
                                                                                    full credit on the AP  Statistics exam.
                                Relative frequency table
                                                 The relative frequency table shows the  proportion  or  percentage
                     Preferred method    Relative frequency   of students who prefer each communication method. Note that in
                     In person    12/50   =  0.24 or 24%   statistics, a proportion is a value between 0 and 1 that is equiva-


                     Internet chat/IM       6/50    =  0.12 or 12%   lent to a percentage.

                     Phone call       1/50    =  0.02 or 2%


                     Social media       6/50    =  0.12 or 12%                         PRACTICE! Take time to work the
                     Text messaging    25/50    =  0.50 or 50%                      paired problem in the Section Exercises.

                     Total      50/50    =  1.00 or 100%

                         (b)   No. Exactly 50% of the students in the sample said that they prefer to communicate with their friends   Practicing a similar problem after
                   via text messaging, but a majority is more than half.            studying the worked example helps you
                                                               FoR PRAcTIce, TRY eXeRcISe 5        know whether or not you’ve “got it.”
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