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1.03 Associations between categorical variables

Interactive practice questions

Maria surveyed a group of people about the type of job they had. She recorded the data in the following graph.

a

Complete the following two-way table displaying the row percentage.

Give your answers correct to one decimal place.

None Casual Part-time Full-time Total
Men $17.6%$17.6% $\editable{}$$%$% $29.4%$29.4% $41.2%$41.2% $100%$100%
Women $22.2%$22.2% $27.8%$27.8% $\editable{}$$%$% $\editable{}$$%$% $100%$100%
b

Complete the following two-way table displaying the column percentage.

Give your answers correct to one decimal place.

None Casual Part-time Full-time
Men $\editable{}$$%$% $28.6%$28.6% $62.5%$62.5% $\editable{}$$%$%
Women $57.1%$57.1% $\editable{}$$%$% $37.5%$37.5% $\editable{}$$%$%
Total $100%$100% $100%$100% $100%$100% $100%$100%
Easy
6min

Some students were asked if they are left or right handed. The results are provided in the table below.

Easy
3min

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

Glen surveyed all the students in Year $12$12 at his school and summarised the results in the following table:

Medium
2min
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Outcomes

3.1.1.2

construct two-way frequency tables and determine the associated row and column sums and percentages

3.1.1.3

use an appropriately percentaged two-way frequency table to identify patterns that suggest the presence of an association

3.1.1.4

understand an association in terms of differences observed in percentages across categories in a systematic and concise manner, and interpret this in the context of the data

3.1.3.1

identify the response variable and the explanatory variable

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