Histograms

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					    B
                           M M              C
M       T                 Making   Maths   Count             15-4-15
                                                   Histograms
1. The table below shows the results of 30 students who sat an exam.

               Score               Frequency           Class Width      Frequency Density
             0  x  10                    2
            10  x  15                    4
            15  x  20                    11
             20  x  30                   6
            30  x  50                    4
            50  x  80                    3

a) Copy the table and fill in the class width
b) Find the frequency density by using the formula:

            Frequency Density = Frequency
                                Class Width

c) Draw a histogram of the data. Label the x-axis as score and the y-axis as
   Frequency Density.

2. The table below shows the weights of 50 apples. Draw a histogram using the
   data

             Weight (g)            Frequency           Class Width      Frequency Density
                                            2
                                            3
                                            7
                                           12
                                           13
                                            9
                                            4




                                               15 minutes for 15 days
          B
                                     M M                  C
  M           T                     Making   Maths    Count                  15-4-15
                                                          Histograms Solutions

      1.
                       Score                 Frequency              Class Width            Frequency Density
                   0  x  10                         2                  10                       0.2
                  10  x  15                         4                      5                    0.8
                  15  x  20                        11                      5                    1.2
                  20  x  30                         6                  10                       0.6
                  30  x  50                         4                  20                       0.2
                  50  x  80                         3                  30                       0.1


Frequency Density
1.2


1.0


0.8


0.6


0.4


0.2


      0       5   10    15     20       25           30       35   40   45       50   55     60   65    70   75   80
                                              Score




                                                          15 minutes for 15 days
          B
                                   M M            C
 M            T                Making   Maths    Count                 15-4-15
2.
                    Weight (g)          Frequency               Class Width        Frequency Density
                                                  2                   50                     0.04
                                                  3                   50                     0.06
                                                  7                   20                     0.35
                                                 12                   10                     1.2
                                                 13                   20                     0.65
                                                  9                   30                     0.4
                                                  4                   40                     0.1

Frequency Density

1.2

1.1

1.0

0.9

0.8

0.7

0.6

0.5

0.4

0.3

0.2

0.1


      0       50   70   90   110   130          150      170   190   210   230   250   270


                                         Weight of apples (g)

                                                      15 minutes for 15 days

				
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posted:8/31/2012
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