| A high school principal is meeting with the PTA to discuss the amount of time students spend doing homework each day. He asked a teacher to gather data for the parents. The teacher is going to survey 25 students from a student body of 1,000 students. Consider the methods of sampling shown below.
Method 1: randomly select 25 students from honors classes
Method 2: select 25 members of the girls' varsity softball team at random
Method 3: use a random number generator to generate 25 random numbers and use these to select 25 students from a numerical list of the students
Method 4: randomly select 25 classrooms and ask the teacher in each classroom to select a student
Complete the following in the Answer Book:
- Which of the above methods of sampling would give the most representative random sample of the student population? Use mathematics to justify your answer. Include in your justification why you chose that method and why you did not choose each of the other three methods.
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