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

Explanation:

Step1: Identify relevant values

The number of seniors who want to learn the flute is 2, and the total number of students is 40.

Step2: Calculate relative - frequency

Relative frequency=$\frac{\text{Number of seniors interested in flute}}{\text{Total number of students}}\times100\%$.
Relative frequency = $\frac{2}{40}\times100\%$.

Step3: Simplify the result

$\frac{2}{40}\times100\% = 0.05\times100\%=5.00\%$.

Answer:

5.00%