Question

fiona interviewed her 30 classmates on whether or not they had a sibling and if they have assigned chores at home. she displayed her results in the two - way table shown. which category had the highest marginal relative frequency?
a only child
b have a sibling
c do not have chores
d have chores
the two - way table:

	have a sibling	only child
do not have chores	8	6

Explanation:

Step1: Calculate marginal relative frequency for each category.

• For "Have a Sibling": Total = 7 + 8 = 15. Marginal relative frequency = \( \frac{15}{30} = 0.5 \).
• For "Only Child": Total = 9 + 6 = 15. Marginal relative frequency = \( \frac{15}{30} = 0.5 \).
• For "Have Chores": Total = 7 + 9 = 16. Marginal relative frequency = \( \frac{16}{30} \approx 0.533 \).
• For "Do Not Have Chores": Total = 8 + 6 = 14. Marginal relative frequency = \( \frac{14}{30} \approx 0.467 \).

Step2: Compare the frequencies.

0.533 (Have Chores) > 0.5 (Have a Sibling, Only Child) > 0.467 (Do Not Have Chores).

Answer:

D. Have Chores