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General Mathematics · Unit 3 · Bivariate data analysis 1 · Identifying and describing associations between two categorical variables

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

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Question 1

A secondary college surveyed $150$ Year 11 and Year 12 students about their preferred mode of study. The results are shown in the table below. Construct a two-way frequency table using row totals and determine the percentage of Year 11 students who prefer online study, correct to one decimal place.

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Question 2

A community centre surveyed 100 members about their preferred activity (yoga or swimming) and gender. The results are shown in the frequency table below. Complete the two-way frequency table by calculating all row totals, column totals, and the grand total. Then calculate the percentage of all members surveyed who preferred swimming.

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Question 3

A community sports club surveyed 180 of its members about their participation in tennis and swimming. The results are shown in the frequency table. (a) Complete the two-way frequency table by calculating the row and column totals. (2 marks) (b) Convert the two-way table into a percentaged two-way frequency table using column totals. (2 marks)

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Question 4

A survey of 100 commuters was conducted to determine their preferred mode of transport. The results are shown in the two-way frequency table below. What percentage of car users surveyed are female?

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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.
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