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Worked Example 4
The height of plants were measured during an experiment . the results are summarised in the table.
Height (h cm) Frequency
0 h 5 20
5 h 10 40
10 h 15 60
15 h 25 80
25 h 50 50
Total 250
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Worked Example 4
Height (h cm) Frequency cumulative frequency
0 h 5 20 20
5 h 10 40 60
10 h 15 60 120
15 h 25 80 200
25 h 50 50 250
Total 250
Answer
a.
b.
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Worked Example 5
The examination marks of 300 students are summarised in the table .
Marks frequency
1-10 3
11-20 7
21-30 13
31-40 29
41-50 44
51-60 65
61-70 70
71-80 49
81-90 14
90-100 6
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Worked Example 5
Answer
Marks frequency cumulative frequency
1-10 3 3
11-20 7 10
21-30 13 23
31-40 29 52
41-50 44 96
51-60 65 161
61-70 70 231
71-80 49 280
81-90 14 294
90-100 6 300
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Worked Example 5
Answer
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Worked Example 7
Twenty bean seeds were planted for a biology experiment . the heights of the plants were measured after three weeks and recorded as below.
Height (h cm) 0 h 3 3 h 6 6 h 9 9 h 12
Frequency 2 5 10 3
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Worked Example 7
Answer
Height (h cm) Mid- point frequency frequency x mid-point(fx) cumulativefrequency
0 h 3 1.5 2 3 2
3 h 6 4.5 5 22.5 7
6 h 9 7.5 10 75 17
9 h 12 10.5 3 31.5 20
Total 20 132
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Worked Example 7
Answer
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