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CHAPTER           Measures of Dispersion for Grouped Data

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                                Sukatan Serakan Data Terkumpul






             7.1    Dispersion                                                                          pg. 196 – 210
                                                                                                         Textbook
                    Serakan


                  SMART    Notes


            1.  Grouped data is the data that is grouped  into a few   (ii)  The difference between the upper boundary and the
               classes with uniform intervals and the range of  each   lower boundary of a class interval.
               class is called class interval.                         Beza antara sempadan atas dengan sempadan bawah bagi
               Data terkumpul merupakan data yang dikumpulkan dalam beberapa   suatu selang kelas.
               kelas dengan selang yang seragam. Julat setiap kelas itu dinamakan
               selang kelas.                                     9.  Histogram and frequency polygon:
                                                                   Histogram dan poligon kekerapan:
            2.  Lower limit is the smallest value in the class interval.
               Had bawah ialah nilai terkecil dalam selang kelas itu.    Frequency
                                                                         Kekerapan
            3.  Upper limit is the largest value in the class interval.
               Had atas ialah nilai terbesar dalam selang kelas itu.      32               Frequency polygon
                                                                                           Poligon kekerapan
                        Lower limit + Upper limit                         24
            4.  Midpoint =
                                  2
                         Had bawah + Had atas                             16                   Histogram
               Titik tengah =
                                2                                          8
            5.  Lower boundary
                 Upper limit of the    Lower limit                         0    9.5
                                +
                   class before it     of the class                                 14.5  19.5  24.5  29.5  34.5
               =
                             2                                                      Mass/ Jisim (kg)
               Sempadan bawah
                 Had atas kelas sebelumnya + Had bawah kelas itu
               =                                                  10.  A distribution is symmetric if the shape and size of the
                                  2                                distribution are almost the same when divided into two
            6.  Upper boundary                                     parts, left and right.
                 Upper limit of the   Lower limit of the           Taburan data ialah  simetri, jika bentuk dan saiz taburan adalah
                                +
                      class           class                        hampir sama apabila dibahagi kepada dua bahagian kiri dan kanan.
               =
                                2
              Sempadan atas
                 Had atas kelas itu + Had bawah kelas selepasnya
               =
                                 2
            7.  To determine the appropriate size of class interval for a
               set of data, use the formula:                         0                       0
                                                                           Bell-shaped
               Untuk menentukan saiz selang  kelas yang sesuai bagi suatu set       Bentuk loceng     Uniform-shaped
                                                                                                    Seragam
               data, gunakan rumus:
                 Largest     Smallest   Nilai data     Nilai data    11.  The shape of distribution is skewed if one of the tails
                        –
                 data value    data value   terbesar   –    terkecil  of the histogram is longer than the other tail.
                                   /
                 Number of classes      Bilangan kelas             Bentuk taburan ialah pencong jika satu daripada hujung histogram
                                                                   adalah lebih panjang daripada hujungnya yang lain.
            8.  For a grouped data in uniform class intervals, the size of
               class interval can be calculated.
               Bagi data terkumpul dalam selang kelas yang seragam, saiz selang
               kelas boleh dihitung.
               (i)  The difference between the lower limits or the upper
                  limits of two consecutive classes.
                  Beza antara had bawah atau had atas bagi dua kelas yang   0  Right-skewed  0     Left-skewed
                  berturutan.
                                                                         Pencong ke kanan          Pencong ke kiri



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