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Mathematics  Form 5  Chapter 7  Measures of Dispersion for Grouped Data



                 (a)                                                                            Cumulative
                      Time (minutes)    Frequency     Lower boundary      Upper boundary         frequency
                         Masa (minit)     Kekerapan     Sempadan bawah      Sempadan atas
                                                                                              Kekerapan longgokan
                          2.1 – 3.0          5              2.05                3.05                 5

                          3.1 – 4.0          8              3.05                4.05                 13

                          4.1 – 5.0         12              4.05                5.05                 25

                          5.1 – 6.0         13              5.05                6.05                 38

                          6.1 – 7.0          9              6.05                7.05                 47
                          7.1 – 8.0          3              7.05                8.05                50



                    Histogram:                                      Cumulative histogram:
                                                                    Histogram longgokan:

                       Frequency
                       Kekerapan

                       14
                                                                      Cumulative frequency
                       12                                             Kekerapan longgokan

                       10                                              50

                        8                                              40

                        6                                              30
                        4                                              20

                        2                                              10

                        0                                              0
                             2.05  3.05  4.05  5.05  6.05  7.05  8.05       2.05  3.05  4.05  5.05  6.05  7.05  8.05
                                       Time (minutes)                                  Time (minutes)
                                       Masa (minit)                                    Masa (minit)







                 (b)   Marks      Frequency      Lower boundary      Upper boundary     Cumulative frequency
                       Markah       Kekerapan      Sempadan bawah      Sempadan atas       Kekerapan longgokan

                       20 – 29         5               19.5                29.5                   5

                       30 – 39         9               29.5                39.5                   14

                       40 – 49        14               39.5                49.5                   28
                       50 – 59         8               49.5                59.5                   36

                       60 – 69         6               59.5                69.5                   42

                       70 – 79         3               69.5                79.5                   45





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