16 Cumulative Frequency Worksheet Page 3
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27MEP Y9 Practice Book B
16.1
Solution
(a)
The first step is to complete the table below:
×
Number of People
Frequency
Number of People
Frequency
Living in Home
2
3
6
3
9
27
4
10
40
5
2
10
6
3
18
7
1
7
8
1
8
9
0
0
10
1
10
TOTALS
30
126
126
=
Mean
30
=
4.2 people per home
(b)
As there are 30 values, the median is the mean of the 15th and 16th values.
From the first table we can see that both the 15th and 16th values are 4, so
the median is 4 people per home.
(c)
The most common value is 4 so the mode is 4 people per home.
Exercises
1.
Calculate the mean and the range of each of the following sets of data:
(a)
3
17
5
6
12
(b) 30
42
19
21
33
62
(c)
7
8
3
14
31
3
8
9
13
22
(d) 114 115 110 119 114 118 123 133
2.
Determine the median and the mode of each of the following sets of data:
(a)
8
5
19
32
19
(b) 33
14
16
19
22
33
16
33
22
(c)
5
9
19
3
14
21
5
7
(d) 11
21
19
11
13
16
11
19
22
20
170
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