year 8 maths

566 Chapter 9 Data collection, representation and analysis
Exercise 9G
UNDERSTANDING AND FLUENCY
1–3, 4(½), 5, 6 4(½), 5–7
4(½), 5–7
Example 11a
1 Consider the set of numbers 1, 5, 2, 10, 3 .
a Write the numbers from smallest to largest.
b State the largest number.
c State the smallest number.
d What is the range?
2 State the range of the following sets of numbers.
a 2, 10, 1, 3, 9 b 6, 8, 13, 7, 1
c 0, 6, 3, 9, 1 d 3, 10, 7, 5, 10
Example 11b–d
Example 11e
3 For the set of numbers 1, 5, 7, 7, 10 , find the:
a total of the numbers when added
b mean
c median
d mode
4 For each of the following sets of data, calculate the:
i range
ii mean
iii median
iv mode
a 1, 7, 1, 2, 4 b 2, 2, 10, 8, 13
c 3, 11, 11, 14, 21 d 25, 25, 20, 37, 25, 24
e 1, 22, 10, 20, 33, 10 f 55, 24, 55, 19, 15, 36
g 114, 84, 83, 81, 39, 12, 84 h 97, 31, 18, 54, 18, 63, 6
5 The number of aces that a tennis player serves per match is recorded over eight matches.
Match 1 2 3 4 5 6 7 8
Number of aces 11 18 11 17 19 22 23 12
a What is the mean number of aces the player serves per match? Round your answer to
one decimal place.
b What is the median number of aces the player serves per match?
c What is the range of this set of data?
6 Brent and Ali organise their test marks, for a number of topics in Maths, in a table.
Test 1 Test 2 Test 3 Test 4 Test 5 Test 6 Test 7 Test 8 Test 9 Test 10
Brent 58 91 91 75 96 60 94 100 96 89
Ali 90 84 82 50 76 67 68 71 85 57
a Which boy has the higher mean?
b Which boy has the higher median?
c Which boy has the smaller range?
d Which boy do you think is better at tests? Explain why.
Cambridge Maths NSW
Stage 4 Year 8 Second edition
ISBN 978-1-108-46627-1 © Palmer et al. 2018
Cambridge University Press
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