Question

mr. capuano, an art teacher, surveyed his students to find out whether they are satisfied with his classes. he also noted which class each student had taken.
oil - painting
satisfied: 17
not satisfied: 3
sculpture
satisfied: 25
not satisfied: 5
art classes

	oil painting	sculpture	total
not satisfied	x	10%

what is the value of x in the relative frequency table for the survey results? round the answer to the nearest percent.
○ 3%
○ 6%
○ 8%
○ 15%

Explanation:

Step1: Calculate total surveyed students

First, find total students from sculpture data: satisfied (25) + not satisfied (5) = 30. This is 100% of sculpture students. From the table, not satisfied sculpture is 10%, so $5 = 0.10 \times \text{total students}$. Solve for total: $\text{Total students} = \frac{5}{0.10} = 50$.

Step2: Find oil-painting total students

Oil-painting: satisfied (17) + not satisfied (3) = 20.

Step3: Calculate relative frequency x

$x$ is the relative frequency of not satisfied oil-painting students. Use $\text{Relative frequency} = \frac{\text{Not satisfied oil-painting}}{\text{Total students}}$
$\text{Relative frequency} = \frac{3}{50} = 0.06 = 6\%$

Answer:

6% (corresponding to the option: ○ 6%)