Page 18 - PRAKTIS HEBAT MATHS TG 2
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Matematik  Tingkatan 2  Jawapan

                The appropriate measure of central tendency is     5.  (a)  6
                mean because mean takes the marks for all criteria   (b)  3
                and can be used to  determine the winner.  Mode   (c)  (i)  p = 12, q = 68, r = 72, s = 79
                and  median  cannot  give  any  significant  meaning   (ii)  Agus yang layak mewakili sekolah kerana julat
                about the winner of the competition.               markahnya adalah  kecil berbanding  Sawing.
                                                                   Ini bermakna,  Agus adalah lebih  konsisten
           2.  (a)  (i)  Bilangan buku  Kekerapan Titik tengah     berbanding Sawing. Median dan min bagi Roy
                   Number of books Frequency  Midpoint             adalah  yang paling rendah  berbanding  Agus
                        5 – 9        9         7                   dan Sawing.
                       10 – 14       11        12                  Agus  is  qualified  to  represent  the  school
                       15 – 19       x         17                  because the range of his mark is smaller
                                                                   than Sawing. This means that,  Agus is more
                       20 – 24       2         22                  consistent than Sawing. Median and mean
                                                                   for Roy is the lowest compared to  Agus and
                (ii)  8                                            Sawing.
             (b)  (i)  Bagi gerai A, sukatan kecenderungan memusat
                   yang sesuai ialah median kerana terdapat nilai   KBAT
                   ekstrem, iaitu 45 dalam data tersebut.
                   Median = 80                           Pasukan B / Team B
                   Bagi gerai B, sukatan kecenderungan memusat
                   yang sesuai ialah min kerana taburan markah
                   adalah sekata. Min = 79
                                                           13
                   For stall A, the appropriate central of tendency   Prakt is PT 3  Kebarangkalian Mudah
                   is median because there is an extreme value,    Simple Probability
                   which is 45 in the data. Median = 80
                   For stall B, the appropriate central of tendency
                   is min because the distribution of the marks is   A
                   uniform. Mean = 79
                (ii)  Julat gerai A / Range of stall A = 42    1.  D   2.  B   3.  B   4.  A    5.  C
                   Julat gerai B / Range of stall B = 12    6.  C   7.  B    8.  C    9.  A    10.  D
                   Gerai B kerana  secara  keseluruhan,  markah   B
                   bagi gerai  B adalah  lebih  tinggi (min  B >
                   min  A) dan lebih konsisten (julat  B < julat  A)
                   berbanding gerai A.                     1.  (a)  6, 7, 8, 9         3
                   Stall B  because as  overall,  the  mark for  stall       (ii)         (iii)  ✗
                   B is higher (mean B > mean  A) and more   (b)  (i)  3       3
                   consistent (range B < range A) than stall A.    2.
             (c)  (i)  Median = 75                                                        RM200
                (ii)  Median tidak berubah.
                   Median would not change.                   Pulau Langkawi              RM300
           3.  (a)  Min. Min = 7.6%                           Langkawi Island
                Mean. Mean = 7.6%                                                         RM500
             (b)  Mod / Mode = 5
                Median = 3
                Min / Mean = 3.5                                                          RM200
             (c)  (i)
           Perbelanjaan (RM)  Gundalan  Bilangan keluarga     Pulau Tioman                RM300
                                                              Tioman Island
            Expenses (RM)     Tally   Number of families
              100 – 149        ||||         4                                             RM500
              150 – 199       |||| ||       7                S = {(Pulau Langkawi / Langkawi Island, RM200),
              200 – 249    ||||  ||||  ||||  |||  18            (Pulau Langkawi / Langkawi Island, RM300),
              250 – 299    ||||  ||||  ||||  ||||  19           (Pulau Langkawi / Langkawi Island, RM500),
                                                                (Pulau Tioman / Tioman Island, RM200),
              300 – 349     ||||  ||||  ||  12                  (Pulau Tioman / Tioman Island, RM300),
                (ii)  RM247.83                                  (Pulau Tioman / Tioman Island, RM500)}
           4.  (a)  0                                      3.  (a)  (i)  Tidak mungkin / Not possible
             (b)  (i)  Mod = Rabu                               (ii)  Mungkin /  Possible
                   Mode = Wednesday                          (b)  S = {27,  29 ,  31 , 37, 41,  43 ,  47, 49}
                (ii)  Min / Mean = RM54
             (c)  (i)  Melayu / Malay                           P(A) =   8
                (ii)  180 orang / people                              23


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