Statistics Worksheets With Answers - Newbattle High School Page 27
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45Range, Mean, Median and Mode
Exercise 1
1.
For each set of data, find the range:
(a)
8, 6, 2, 9, 7, 7, 4, 5, 12, 3, 9, 5, 6, 4.
(b)
67, 83, 69, 65, 28, 36, 37, 95, 21, 25, 22, 47, 29, 54, 32, 65, 78, 94.
(c)
2·1, 3·6, 5·8, 4·7, 2·5, 1·4, 8·9, 4·6, 2·5, 1·4, 2·3, 6·5, 6·8, 2·7, 2·9, 1·3, 4·4, 3·7.
2.
Calculate the mean in each case:
(a)
8, 6, 6, 5, 7, 9, 9, 8, 6, 5, 4, 8, 7, 6, 3, 4, 5, 5, 4, 3.
(b)
5·8, 7·2, 8·1, 4·9, 7·3, 7·7, 9, 6, 6·9, 8·1, 5·2, 7·8, 9·3, 6·7, 7, 7, 5·9, 9·1, 8·2, 4·8.
(c)
£12·20, £12·60, £13·50, £14·20, £16·80, £12·80, £11·40, £15·60, £17·20, £18.
3.
Find the median:
(a)
6, 3, 5, 5, 2, 4, 7, 7, 8, 9, 1, 1, 4, 5, 8, 8, 7, 4, 5, 2, 9.
(b)
£16, £16, £17, £19, £20, £21, £16, £17, £18, £15.
(c)
35 kg, 28 kg, 27 kg, 24 kg, 5 kg, 26 kg, 27 kg, 19 kg, 23 kg, 25 kg, 27 kg, 15 kg,
15 kg, 35 kg.
4.
In the following, what is the mode?
(a)
2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 9.
(b)
5, 3, 9, 2, 3, 6, 8, 1, 2, 5, 5, 8.
(c)
256, 250, 257, 251, 251, 251, 259, 250, 251 251, 252, 253, 253, 250, 254, 254,
250, 255, 256, 251, 256, 258, 259.
5.
The children of Langbank took part in a fun-run around the village to raise money
for charity. These are the number of laps completed by the under 7s.
15
24
13
26
22
17
8
26
16
26
18
26
21
20
14
21
For the number of laps completed, find:
(a) the range
(b) the mean
(c) the median
(d) the mode.
6.
Here are the heights, to the nearest cm, of nine girls:
166 cm 176 cm 162 cm 180 cm 161 cm 176 cm 165 cm 175 cm 172 cm
Calculate: (a) the range of heights
(b) the mean height (to the nearest cm)
(c) the median height.
27
Mathematics: Mathematics 2 (Int 1) Statistics – Student Materials
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