year 8 maths

9F
Frequency histograms and frequency polygons
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6 Some tennis players count the number of aces served in different matches. Match up the
histograms (a–d) with the descriptions (A–D).
a
b
c
d
0 1 2 3
0 1 2 3
0 1 2 3
0 1 2 3
A Often serves aces.
B Generally serves 3 aces or 0 aces.
C Serves a different number of aces in each match.
D Rarely serves aces.
7 A car dealership records the number of sales each salesperson makes per day over three weeks.
Bill’s sales
Marie’s sales
8
8
7
7
6
6
5
5
4
4
3
3
2
2
1
1
0
0 1 2 3 4
0
0 1 2 3 4
Number of sales
Number of sales
Frequency
Frequency
8
7
6
5
4
3
2
1
0
Frank’s sales
0 1 2 3
Number of sales
4
Frequency
Frequency
8
7
6
5
4
3
2
1
0
Con’s sales
0 1 2 3
Number of sales
a Which salesperson holds the record for the greatest number of sales in one day?
b Which salesperson made a sale every day?
c Over the whole period, which salesperson made the most sales in total?
d Over the whole period, which salesperson made the fewest sales in total?
e On the same set of axes draw all four salesperson’s frequency polygons (only draw the line
joining the tops, not with columns).
f Explain why a frequency polygon can be more useful for comparing data than a histogram.
(Hint: consider what multiple histograms would look like on the same axes.)
Cambridge Maths NSW
Stage 4 Year 8 Second edition
ISBN 978-1-108-46627-1 © Palmer et al. 2018
Cambridge University Press
Photocopying is restricted under law and this material must not be transferred to another party.
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