Page 70 - Pra U STPM 2022 Penggal 3 - Maths (T)
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Mathematics Semester 3  STPM  Answers

                 2.  (a)
                        250                                           20
                       Number of applicants  150                     Number of workers  24 8 4 0
                                                                      16
                        200
                                                                      12

                        100
                                                                             Net income (RM)
                                                                          400 600 800 1 000 1 200 1 4001 600 1 800
                        50
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                                                             Exercise 1.3
                                                               1.  (a)
                         0
                            5  10 15 20 25 30 35 40
                                 Age (years)                       50
                  (b)   200  166                                   40
                       Number of workers   150  48 92  65 31 1 2  Cumulative frequency  20
                                                                   30
                        100
                        50
                                                                   10
                         0
                           2468 12  12 20  3.2  40                  0                              x
                                                                         2   4   6   8  10  12  14
                                Distance (km)
                                                                (b)
                 3.   16     15                                       50
                    Number of patients  12 8 4  12  9  6  4  5  1.5  Cumulative frequency  40

                                                                      30
                     0
                          7.0 10.5
                                  21.0 24.5
                              14.0 17.5
                                      28.0 31.5
                        3.5
                                 Time (minutes) 35.0 38.5  42.0 45.5  49.0  20
                                                                      10
                 4.  (a)   20                                          0   0.5 10.5 20.5 30.5 40.5 50.5 60.5
                       Number of workers  24 8                 2.         120    Time (minutes)
                        16
                        12
                         0 4                                             Number of days  80
                                                                          40
                           400 600 800 1 000 1 200 1 4001 600 1 800
                              Net income (RM)                              0
                                                                              4.5 9.5 14.5 19.5 24.5 29.5 34.5 39.5
                                                                               Number of crime cases
                  (b)   Net income (RM)   Number of workers
                                                                                        ‘Less than’
                         400   x  600         5                    Upper boundary  cumulative  frequency
                         600   x  800         11                        0.5            0
                         800   x  1  000      23                        4.5            5
                        1  000  x  1  200     6                         9.5            42
                                                                          14.5          129
                        1  200  x  1  400     18
                                                                          19.5          250
                        1  400  x  1  600     9
                                                                          24.5          327
                        1  600  x  1  800     11
                                                                          29.5          369
                     The two histograms drawn in (a) and (b) are the      34.5          390
                     same except the income classes in (b) are RM200 less    39.5       400
                     than the one in (a).




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         Ans STPM Maths(T) T3.indd   286                                                              28/10/2021   10:25 AM
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