Question

a survey was conducted at a high school to study which instruments students are interested in learning. the data gathered is in the two - way table below:

	violin	trumpet	flute	clarinet	total
sophomore	2	1	3	3	9
junior	3	3	4	1	11
senior	5	1	2	3	11
total	14	7	10	9	40

based on this table, what is the relative frequency that a student is a freshman who wants to learn the violin? ?%
round your answer to the nearest hundredth.

Explanation:

Step1: Identify relevant values

The number of fresh - men who want to learn the violin is 4, and the total number of students is 40.

Step2: Calculate relative frequency

The formula for relative frequency is $\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. So the relative frequency is $\frac{4}{40}=0.1$.

Step3: Convert to percentage

To convert the decimal to a percentage, we multiply by 100. So $0.1\times100 = 10.00\%$.

Answer:

10.00