# 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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