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 junior who wants to learn the clarinet? ?% 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 junior who wants to learn the clarinet? ?% round your answer to the nearest hundredth.

Answer

Answer:

2.50

Explanation:

Step1: Identify relevant values

The number of juniors who want to learn the clarinet is 1, and the total number of students is 40.

Step2: Calculate relative - frequency

The formula for relative frequency is $\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. So the relative frequency is $\frac{1}{40}= 0.025$.

Step3: Convert to percentage

To convert a decimal to a percentage, we multiply by 100. So $0.025\times100 = 2.50%$.