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 freshman who wants to learn the violin?\n? %\nround 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 freshman who wants to learn the violin?\n? %\nround your answer to the nearest hundredth

Answer

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 $\frac{\text{Number of favorable cases}}{\text{Total number of cases}}$. 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%