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 sophomore who wants to learn the flute? \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 sophomore who wants to learn the flute? \nround your answer to the nearest hundredth.

Answer

Answer:

7.50%

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, $\frac{3}{40}\times100% = 7.50%$.