A survey asked 36 students to choose their favorite type of music from the choices of rock, pop, and country. The results of the survey are given below.
• 11 rock
• 16 pop
• 9 country
Based on this information, how many students in a class of 240 students would be expected to choose country as their favorite type of music?
A) 40
B) 60
C) 80
D) 90
Please help!!!
Calculate the proportion of the second and first group.
240 / 36 = 12 ∙ 20 / 12 ∙ 3 = 20 / 3
Multiply 9 country choice in first group by this proportion.
9 ∙ 20 / 3 = 180 / 3 = 60
To answer this question, we can assume that the distribution of music preferences among the 240 students is similar to that observed in the survey of 36 students.
First, we need to determine the proportion of students who prefer country music based on the survey results. We can do this by dividing the number of students who chose country music by the total number of students surveyed:
Proportion of students who prefer country music = Number of students who chose country music / Total number of students surveyed
= 9 / 36
= 0.25
Next, we can use this proportion to estimate the number of students in the class of 240 students who would be expected to choose country music as their favorite type of music:
Number of students who prefer country music = Proportion of students who prefer country music * Total number of students in the class
= 0.25 * 240
= 60
Therefore, based on the information provided, we would expect approximately 60 students in a class of 240 students to choose country as their favorite type of music.
So, the answer is B) 60.