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VCE 12 General 2023

2.03 Two way tables and graphs

Interactive practice questions

The stacked column chart below shows the fitness levels for various categories of smokers.

a

What is the response variable for this chart?

Fitness level

A

Category of smoker

B
b

Does there appear to be an association between fitness level and category of smoker?

Yes

A

No

B
c

Which of the following best describes the association?

The corresponding segments are different in size, suggesting that fitness level decreases as the number of cigarettes smoked per day decreases.

A

The corresponding segments are different in size, which suggests that there is an association based on the age of the smokers.

B

The corresponding segments are different in size, suggesting that fitness level increases as the number of cigarettes smoked per day decreases.

C

The corresponding segments are different in size, suggesting that smoking category increases as fitness level decreases.

D
Medium
1min

$170$170 people were surveyed about their music preference. The results have been recorded in the table below.

Medium
1min

A group of year 12 students surveyed their class and recorded the hair colour and eye colour for each student. The results are displayed in the $100%$100% stacked column chart shown below.

Medium
1min

Members of a gym were asked what kind of training they do. Each responder only did one kind of training. The table shows the results.

Medium
3min
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Outcomes

U3.AoS1.19

construct two-way tables and use them to identify and describe associations between two categorical variables

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