all students at micahs school are required to take one fine arts class. micah surveys a random sample of…

all students at micahs school are required to take one fine arts class. micah surveys a random sample of students from his school to find out which class they take. the results are shown in the table. based on the sample, about what percent of students at micahs school take band? 10% 25% 35% 50% fine arts class frequency drawing 5 band 10 choir 7 dance 6 theater 12 total 40

all students at micahs school are required to take one fine arts class. micah surveys a random sample of students from his school to find out which class they take. the results are shown in the table. based on the sample, about what percent of students at micahs school take band? 10% 25% 35% 50% fine arts class frequency drawing 5 band 10 choir 7 dance 6 theater 12 total 40

Answer

Explanation:

Step1: Recall percentage - formula

The formula for percentage is $\text{Percentage}=\frac{\text{Part}}{\text{Whole}}\times100%$.

Step2: Identify part and whole

The number of students who take band is the part ($n = 10$), and the total number of students in the sample is the whole ($N=40$).

Step3: Calculate the percentage

Substitute the values into the formula: $\text{Percentage}=\frac{10}{40}\times 100%$. First, $\frac{10}{40}=\frac{1}{4}=0.25$. Then, $0.25\times100% = 25%$.

Answer:

25%