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(c)
                       8 9  Statistics                                          Points scored by 24 players

                          Statistics

                     1   (a)  (i)  1                           [1]
                            (ii)  1                            [1]
                                0 × 10 + 1 × 20 + 2 × 12 + 3 × 5 + 4 × 3  60 61  70    76 80  86 90  95 100104  110
                            (iii)                                                         Points
                                               50                                                               [4]
                                = 1.42                         [2]    5   (a)  (i)  90                          [1]
                             3k + 71
                         (b)        = 2                                      (ii)  60                           [1]
                              k + 50                                      (b)  (i)  40                          [1]
                               3k + 71 = 2k + 100                            (ii)  30                           [1]
                                  k = 29                       [2]        (c)  Class 2                          [1]
                             8
                         (c)    × 100% = 16%                   [1]        (d)  Class 1, their median is higher and the
                             50                                               interquartile range is also higher.   [2]
                     2   (a)   Number of words     Frequency          6    x + 14 + 16 + 16 = 14 × 4
                                    0 – 4              4                     10, 14, 16, 16   x = 10            [3]
                                    5 – 9              5              7   (a)  0 ≤ k ≤ 16                       [1]
                                   10 – 14             8                  (b)  12                               [1]
                                   15 – 19             2                  (c)  10                               [1]
                                                                              0 × 8 + 1 × 11 + 2k + 3 × 2 + 4 × 0 + 5 × 1
                                   20 – 24             3                  (d)         8 + 11 + k + 2 + 0 + 1
                                   25 – 29             3                      = 1.8
                                                               [3]            22 + 2k   =1.8
                             9                                                 22 + k
                         (b)    × 100% = 36%                   [1]
                             25                                                     k = 88                      [2]
                                                                      8
                             2
                                                                          (a)  150 × 0.26 = 39
                                                               [1]
                        Penerbitan Pelangi Sdn Bhd. All Rights Reserved.                                        [1]
                         (c)
                                × 100% = 8%
                             25                                           (b)   6 + 18 + 34 + 26  × 150 = 126   [2]
                         (d)  (i)  14                          [1]                 100
                            (ii)  13                           [1]        (c)  Grade A* = 0.06 × 360° = 21.6°
                         (e)   0  0  1  2  3  5   7  8  8  9                  Grade A = 0.18 × 360° = 64.8°
                             1    0  1  2  3  3   4  4  4  5  9                 Grade B = 0.34 × 360° = 122.4°
                                                                              Grade C = 0.26 × 360° = 93.6°
                             2    0  0  1  5  6   7                                150 – 126
                                                                              Fail =        × 360° = 57.6°      [5]
                             Key:  1       | 2     means 12 words   [4]              150
                     3   (a)  (i)  2                           [1]    9   (a)  (i)  78 km/h                     [1]
                            (ii)  2                            [1]           (ii)  83 – 71 = 12                 [2]
                                                                          (b)  100 km/h
                            (iii) 2                            [1]      10  (a)                                 [2]
                            (iv)  3 × 8 + 2 × 15 + 1 × 7   = 2.03    [2]  Frequency
                                     8 + 15 + 7
                              8                                        density
                         (b)    × 360° = 96°                   [2]
                             30                                        5             4.8
                         (c)  Mean                                              4.5
                               175 × 7 + 182.5 × 13 + 187.5 × 6 + 192.5 × 2
                             =                                         4
                                               28
                             = 182.41 cm                       [4]
                     4   (a)  (i)  43                          [1]     3
                            (ii)  86                           [1]                       2.2
                            (iii) 86                           [1]     2
                            (iv)  Mean =   2045   = 85.208     [2]         1.4
                                        24
                              5                                        1                        0.8
                         (b)    × 100% = 20.8%                 [2]
                             24
                                                                                                         Age (a)
                                                                       0      20   30    40    50    60
                                                                                                                 [6]


                                                                                                     Answers    181







         Answers.indd   181                                                                                      15/03/2022   11:08 AM
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