Question

the art club is organizing a school - wide mural event. they collect data on whether students prefer using paint or markers and whether they are in grade 7 or grade 8. the organizers want to know if preferences differ by grade level.
question 4
what is the relative frequency (as a decimal) of grade 8 students who prefer paint?
0.52
0.5
0.58
question 5
what does the data suggest about the relationship between grade level and material preference?
there is no difference between the two grades.

Explanation:

Step1: Recall the formula for relative frequency

The formula for relative frequency is $\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$.

Step2: Identify the number of favorable outcomes and total number of outcomes

For Grade 8 students who prefer paint, the number of favorable outcomes is $14$ (from the table, Grade 8 - Paint cell). The total number of Grade 8 students is $24$ (from the table, Grade 8 - Total cell).

Step3: Calculate the relative frequency

Using the formula $\frac{14}{24}=\frac{7}{12}\approx0.58$

Answer:

0.58