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Mathematics  Form 5  Chapter 7  Measures of Dispersion for Grouped Data


             (b)      Daily wage (RM)                 Frequency                  Cumulative frequency
                        Upah harian (RM)               Kekerapan                    Kekerapan longgokan
                            46 – 53                       12                               12

                            54 – 61                       17         +                     29
                            62 – 69                       23         +                     52
                                                                     +
                            70 – 77                       19                               71
                                                                     +
                            78 – 85                        5                               76

             (c)          Diameter                    Frequency                  Cumulative frequency
                             (cm)                      Kekerapan                    Kekerapan longgokan
                           1.2 – 1.7                      25                               25
                           1.8 – 2.3                      36         +                     61

                           2.4 – 2.9                      47         +                    108
                                                                     +
                           3.0 – 3.5                      29                              137
                                                                     +
                           3.6 – 4.1                      18                              155

          5.  Complete each of the following tables. Then, construct a histogram and a cumulative histogram to represent
             the data.  PL 3
             Lengkapkan setiap jadual berikut. Kemudian, bina histogram dan histogram longgokan untuk mewakili data tersebut.

                Example
                Length (cm)    Frequency     Lower boundary      Upper boundary      Cumulative frequency
                 Panjang (cm)    Kekerapan     Sempadan bawah      Sempadan atas        Kekerapan longgokan
                    1 – 5           2               0.5                 5.5                    2
                   6 – 10           4               5.5                10.5                    6
                   11 – 15          7              10.5                15.5                    13
                   16 – 20          13             15.5                20.5                    26
                   21 – 25          10             20.5                25.5                    36
                   26 – 30          4              25.5                30.5                    40

              Histogram:                                       Cumulative histogram:
                                                               Histogram longgokan:
                 Frequency
                 Kekerapan                                      Cumulative frequency
                                                                Kekerapan longgokan
                 14
                                                                 40
                 12
                                                                 30
                 10
                                                                 20
                  8
                                                                 10
                  6
                                                                  0
                                                                       0.5  5.5  10.5  15.5  20.5  25.5  30.5
                  4                                                               Length (cm)
                                                                                  Panjang (cm)
                  2

                  0
                       0.5  5.5  10.5  15.5  20.5  25.5  30.5   Label the x-axis using boundaries.
                                  Length (cm)                   Label paksi-x menggunakan sempadan.
                                  Panjang (cm)


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