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2 the results of a survey of 60 randomly selected students are listed b…

Question

2
the results of a survey of 60 randomly selected students are listed below:

  • 12 students want school to start earlier.
  • 30 students want school to start later.
  • 18 students do not want to change the time.

there are 300 students in total. based on the data, what is the best approximation of the number of students who want school to start later?

  • a 90 students
  • b 120 students
  • c 150 students
  • d 180 students

Explanation:

Step1: Find the proportion of students who want school to start later in the survey.

The number of students surveyed is 60, and the number of those who want school to start later is 30. So the proportion is $\frac{30}{60}=\frac{1}{2}$.

Step2: Apply this proportion to the total number of students.

There are 300 students in total. So the approximate number of students who want school to start later is $300\times\frac{1}{2} = 150$.

Answer:

C. 150 students