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522 Chapter 9 Data collection, representation and analysis

1 Arrange the following in ascending (increasing) order.

a 2, 4, 10, 7, 1, 0, 6, 14, 9

b 101, 20, 30.6, 204, 36, 100

c 1.2, 1.9, 2.7, 1.7, 3.5, 3.2

Pre-test

2 Write down the total and the mean (average) for each of the sets below.

a 4, 6, 8, 10 and 12

b 15, 17, 19, 19 and 24

c 0.6, 0.6, 0.6, 0.7 and 0.8

3 Use the information in the sector graph to

answer the following questions.

a What fraction of the income was spent on

food?

b What is the size of the angle for the rent

sector?

c If $420 is saved each month, find how

much is spent on:

i food

ii the car

60°

Budget

60°

rent

car

food

savings

4 a How many hours of television were

watched on Wednesday?

b How many hours of television were

watched on Monday?

c On which day was the most television

watched?

d How many hours of television were

watched over the week shown?

e What fraction of Saturday was spent

watching television?

Hours

9

8

7

6

5

4

3

2

1

0

Mark’s daily TV watching

Sun Mon Tue Wed Thur Fri Sat

Day of the week

5 Smarties can be purchased in small boxes. The small boxes are sold in a bag. The boxes in one bag

contained the following smarties: 12, 11, 13, 12, 11, 12, 14, 10, 12, 13, 14 .

a How many boxes were in the bag?

b Arrange the scores in ascending order.

c Draw a dot plot to represent the data.

d What is the most common number of smarties in a box?

e What is the mean number of smarties in a box?

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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