16 Cumulative Frequency Worksheet Page 16
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27MEP Y9 Practice Book B
Solution
(a)
From the data table we can see that there are no heights under 150 cm.
Under 155 cm there are the first 4 heights.
Under 160 cm there are the first 4 heights plus a further 22 heights that are
between 155 cm and 160 cm, giving 26 altogether.
Under 165 cm we have the 26 heights plus the 56 that are between 160 cm
and 165 cm, giving 82 altogether.
Continuing this process until every height has been counted gives the
following cumulative frequency table.
Height (cm)
Under 150
Under 155
Under 160
Under 165
Under 170
Under 175
+
+
+
+
+
Cumulative
0
0
4
4
22
26
56
82
32
114
5
= 4
= 26
= 82
= 114
= 119
Frequency
The cumulative frequency graph can now be plotted using the points in the
table, (150, 0), (155, 4), (160, 26), (165, 82), (170, 114) and (175, 119).
To obtain the cumulative frequency polygon, we draw straight line sections
to join these points in sequence.
Cumulative
Frequency
120
110
100
90
80
70
60
50
40
30
20
10
0
150
155
160
165
170
175
Height (cm)
183
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