General Mathematics · Unit 3 · Bivariate data analysis 1 · Identifying and describing associations between two categorical variables
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A school surveyed 200 students about whether they play a sport and whether they study mathematics. The two-way frequency table below shows the results with percentages calculated by row. Which statement correctly identifies an association between playing a sport and studying mathematics?
A school surveyed 300 students about their preferred study method and whether they achieved above-average grades. The two-way frequency table below has been converted to column percentages (percentage within each study method category). Which statement correctly identifies an association between study method and academic achievement?
A fitness centre surveyed 200 of its members to investigate whether there is an association between age group and membership type. The survey found that 84 members are aged under 30 years and 116 members are aged 30 years or over. Of the members aged under 30 years, 36 have a premium membership. Of the members aged 30 years or over, 70 have a standard membership. Complete the two-way frequency table and calculate the percentage of premium members in each age group to determine whether the data suggest an association between age group and membership type.
A local council surveyed $186$ residents about whether they own a pet and their level of physical activity. The results are shown in the table below. Use the table to determine whether there is an association between pet ownership and physical activity level by calculating the percentage of pet owners who exercise regularly and comparing it with the percentage of non-pet owners who exercise regularly.