1. The ages of 22 players in a football match were recorded in the following array:

17, 18, 15, 16, 16, 15, 15, 18, 15, 15, 18, 18, 15, 16, 17, 15, 15, 16, 15, 18, 15, 15.

Present the data in a frequency table.

2. The following table is the frequency distribution of the masses of 45 students in a class:

Draw a histogram of the distribution.

3. The examination marks of 45 students were as follows:

65 58 72 62 64 35 72 32 64
61 59 82 73 65 54 63 63 75
70 81 36 73 80 60 71 74 64
75 65 84 92 73 63 61 76 35
43 50 70 40 46 64 72 28

(a) Construct a frequency distribution using class intervals 21 – 30, 31 – 40, 41 – 50, and so on.

(b) Draw a cumulative frequency curve.

4. A tailors’ association surveyed the number of sewing machines that each primary association had and recorded as follows:

3, 8, 5, 4, 5, 6, 7, 7, 4, 6, 6, 7, 4, 5, 3, 7, 4, 5, 3, 8, 5.

Construct a frequency table, and then draw a frequency polygon.

5. In a certain examination, the results were as follows:

• 3 students scored marks between 0 and 10,
• 5 students scored marks between 10 and 20,
• 5 students scored marks between 20 and 30,
• 4 students scored marks between 30 and 40,
• 2 students scored marks between 40 and 50.

Draw a histogram to present the examination results.

6. The payment of 36 labourers in Tanzanian shillings were given in a cumulative frequency polygon as shown in the following figure:

(a) How many labourers had salaries of 1200 shillings?

(b) What is the payment of the first 15 labourers?

7. The annual scores of Form Two students in a History examination were recorded as shown in the following table:

(a) What is the size of the class intervals?

(b) Draw a histogram to present the examination results.