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554 Chapter 9 Data collection, representation and analysis

PROBLEM-SOLVING AND REASONING

7, 8, 10 7, 8, 10, 11

8, 9, 11, 12

7 A tennis player records the number of double faults they serve per match during one month.

Double faults 0 1 2 3 4 5

Frequency 4 2 1 0 2 1

a How many matches did they play in total during the month?

b How many times did they serve exactly one double fault?

c In how many matches did they serve no double faults?

d How many double faults did they serve in total during the month?

8 Match each of these datasets with the correct column ( A , B , C or D ) in the frequency distribution

table shown below.

a 1, 1, 2, 3, 3 b 1, 2, 2, 2, 3

c 1, 1, 1, 2, 3 d 1, 2, 3, 3, 3

Number A B C D

1 3 2 1 1

2 1 1 1 3

3 1 2 3 1

9 Five different classes are in the same building in different rooms. The ages of students in each

room are recorded in the frequency distribution table below.

Age Room A Room B Room C Room D Room E

12 3 2 0 0 0

13 20 18 1 0 0

14 2 4 3 0 10

15 0 0 12 10 11

16 0 0 12 10 11

17 0 0 0 1 0

a How many students are in the building?

b How many 14 -year-olds are in the building?

c How many students are in room B ?

d What is the total age of all the people in room B ?

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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