Task 4 - Extension Cumulative Frequency Page 2
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42.
A company tested 100 batteries.
The table shows information about the time in hours that the batteries lasted.
Time(t hours)
Frequency
50 ≤ t < 55
12
55 ≤ t < 60
21
60 ≤ t < 65
36
65 ≤ t < 70
23
70 ≤ t < 75
8
(a)
Complete the cumulative frequency table.
(1)
Time (t hours)
Cumulative
frequency
50 ≤ t < 55
12
50 ≤ t < 60
50 ≤ t <65
50 < t < 70
50 ≤ t < 75
(b)
On the grid, draw a cumulative frequency graph for your completed table.
(2)
(c)
Use your completed graph to find an estimate for the median time.
100
Cumulative
frequency
80
60
40
20
0
50
55
60
65
70
75
Time ( hours)
t
………………………hours
(1)
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