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Mathematics  Form 5  Chapter 7  Measures of Dispersion for Grouped Data

                 (b) Score
                     Skor          81 – 85   86 – 90   91 – 95   96 – 100   101 – 105   106 – 110   111 – 115
                     Frequency        9        12        17        20          15          11           8
                     Kekerapan

                            Score          Frequency       Upper boundary           Cumulative frequency
                             Skor            Kekerapan        Sempadan atas            Kekerapan longgokan
                           76 – 80              0                 80.5                        0
                           81 – 85              9                 85.5                        9
                           86 – 90             12                 90.5                        21
                           91 – 95             17                 95.5                        38
                           96 – 100            20                100.5                        58
                          101 – 105            15                105.5                        73
                          106 – 110            11                110.5                        84
                          111 – 115             8                115.5                        92



                      Cumulative frequency
                      Kekerapan longgokan


                        100
                                                                                  (i)   1   × 92 = 23
                         90                                                           4
                                                                                      From the ogive,
                                                                                      Daripada ogif,
                         80                                                           Q 1  = 91.0
                                                                                      1
                                                                                  (ii)    × 92 = 46
                         70                                                           2
                                                                                      From the ogive,
                                                                                      Daripada ogif,
                         60
                                                                                      Q 2  = 97.5

                         50                                                       (iii)   3   × 92 = 69
                                                                                      4
                                                                                      From the ogive,
                         40                                                           Daripada ogif,
                                                                                      Q 3  = 104.0
                         30                                                            60
                                                                                  (iv)    × 92 = 55.2  55
                                                                                      100
                                                                                      From the ogive,
                         20
                                                                                      Daripada ogif,
                                                                                      P 60  = 99.5

                         10
                         0
                               80.5  85.5  90.5  95.5  100.5  105.5  110.5  115.5
                                                   Score
                                                   Skor
















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