year 8 maths

9D
Sector graphs and divided bar graphs
549
9 In two surveys, people were asked what is their favourite pet animal.
Survey 1
Survey 2
cat
dog
cat
dog
bird
bird
a If 16 people participated in survey 1 , how many chose a dog?
b If 30 people participated in survey 2 , how many chose a bird?
c Jason claims that 20 people participated in survey 1 . Explain clearly why this cannot be true.
d Jaimee claims that 40 people participated in survey 2 . Explain clearly why this cannot be true.
e In actual fact, the same number of people participated for each survey. Given that fewer than
100 people participated, how many participants were there? Give all the possible answers.
10 Explain why you can use a sector graph for categorical data but you cannot use a line graph for
categorical data.
11 Three different surveys are conducted to establish whether soft drinks should be sold in the school
canteen.
cola
lemonade
fizzy orange
other
milk-based
drink
juice
soft drink
cola
lemonade
fizzy orange
milk
juice
Survey 1 : Favourite drink Survey 2 : Favourite type of Survey 3 : Sugar content per
drink
drink
a Which survey’s graph would be the most likely to be used by someone who wished to show the
financial benefit to the cafeteria of selling soft drinks?
b Which survey’s graph would be the most likely to be used by someone who wanted to show
there was not much desire for soft drink?
c Which survey’s graph would be the most likely to be used by a person wanting to show how
unhealthy soft drink is?
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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