a survey was conducted at a high school to study which instruments students are interested in learning. the…

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: \n| | violin | trumpet | flute | clarinet | total |\n|----|----|----|----|----|----|\n| freshman | 4 | 2 | 1 | 2 | 9 |\n| sophomore | 2 | 1 | 3 | 3 | 9 |\n| junior | 3 | 3 | 4 | 1 | 11 |\n| senior | 5 | 1 | 2 | 3 | 11 |\n| total | 14 | 7 | 10 | 9 | 40 |\nbased 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.

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: \n| | violin | trumpet | flute | clarinet | total |\n|----|----|----|----|----|----|\n| freshman | 4 | 2 | 1 | 2 | 9 |\n| sophomore | 2 | 1 | 3 | 3 | 9 |\n| junior | 3 | 3 | 4 | 1 | 11 |\n| senior | 5 | 1 | 2 | 3 | 11 |\n| total | 14 | 7 | 10 | 9 | 40 |\nbased 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.

Answer

Answer:

5.00%

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

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