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 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 total number of classmates

The total number of classmates is given as 30.

Step2: Calculate relative frequency for each category

• Only Child: Number of only children is \(9 + 6=15\). Relative frequency \(=\frac{15}{30} = 0.5\).
• Have a Sibling: Number of students with a sibling is \(7+8 = 15\). Relative frequency \(=\frac{15}{30}=0.5\).
• Do Not Have Chores: Number of students without chores is \(8 + 6=14\). Relative frequency \(=\frac{14}{30}\approx0.4667\).
• Have Chores: Number of students with chores is \(7+9 = 16\). Relative frequency \(=\frac{16}{30}\approx0.5333\).

Answer:

D. Have Chores