Page 189 - Mathematics Coursebook
P. 189

19.3 Drawing conclusions



               )     Exercise 19.3


               1  Mari and Aiden go to different schools.
                 The pictograms show how the students in Mari’s class and in Aiden’s class travel to school.
                   Mari’s class                   Aiden’s class
                   Walk                           Walk
                   Cycle                          Cycle
                   Bus                            Bus
                   Car                            Car
                   Key:   represents 2 students   Key:  represents 2 students

                  a  Work out the number of students in:             i  Mari’s class   ii  Aiden’s class.
                  b  Compare the pictograms and make two comments.
                  c  Do you think that the students in Mari’s class live near to their school?
                     Explain your answer.
                  d  Do you think that students in Aiden’s class live near to their school?
                     Explain your answer.
               2   Abeeku carries out a survey on the favourite sport of the students in his year group at school. The
                  bar charts show his results.
                                Boys’ favourite sports                  Girls’ favourite sports
                     20                                     20
                                                            18
                     18
                    Number of boys  14 8                   Number of girls  14 8
                     16
                                                            16
                                                            12
                     12
                     10
                                                            10
                     4 6                                     6 4
                     2                                       2
                      0                                      0
                        Cricket Football Hockey  Rugby  Tennis  Cricket Football Hockey  Rugby  Tennis
                  a  Compare the bar charts and make two comments.
                  b  Which sport is the favourite for the same number of boys as girls?
                  c  Which sport is the favourite of twice as many girls as boys?
                  d  Write down the modal sport for      i  the boys       ii  the girls.
               3  Mrs Kaul gives the students in her class a reading test and a spelling test.
                  The frequency diagrams show the results of the tests.
                                 Reading test results                   Spelling test results

                    16                                      16
                                                            14
                    Frequency 14 8                         Frequency  12 8
                    12
                                                            10
                    10
                     4 6                                     6 4
                     2                                       2
                      0                                      0
                        1–10  11–20  21–30  31–40  41–50        1–10  11–20  21–30  31–40  41–50
                                     Score                                   Score
                  a  Work out the number of students that took:      i  the reading test    ii  the spelling test.
                  b  Give a possible reason why your two answers in part a are different.
                  c  Compare the bar charts and make two comments.
                  d  Write down the modal score for:    i  the reading test   ii  the spelling test.

      188      19 Interpreting and discussing results
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