West High wants to estimate the number of students who drive to school. Answer the following.
(a) Which of the following surveys probably would best represent the entire student population?
25 students are randomly selected from the school; 6 drive to school.
25 students are randomly selected from the math club; 5 drive to school.
25 students are randomly selected from the 10th grade; 4 drive to school.
(b) There are 1750 students at West High.
Using your answer from part (a), estimate the number of students who drive to school.
students
(a) The survey that would best represent the entire student population at West High would be the one where 25 students are randomly selected from the 10th grade and 4 drive to school. This sample would likely be more representative of the entire student population compared to just selecting students from the math club or randomly from the school.
(b) If we use the survey where 25 students from the 10th grade are randomly selected and 4 drive to school, we can estimate the number of students who drive to school at West High by setting up a proportion:
(4 students who drive) / (25 students surveyed) = (x students who drive) / (1750 total students)
Solving for x, we get:
x = (4/25) * 1750
x = 280
Therefore, we can estimate that approximately 280 students drive to school at West High.