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 sophomore who wants to learn the flute?
?%
round your answer to the nearest hundredth.

Explanation:

Step1: Identify relevant values

The number of sophomores who want to learn the flute is 3, and the total number of students is 40.

Step2: Calculate relative - frequency

The relative frequency formula is $\text{Relative Frequency}=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\times100\%$. So, $\frac{3}{40}\times100\% = 7.50\%$.

Answer:

7.50