HSA 2008 Algebra/Data Analysis Item 27print

HSA 2008 Algebra/Data Analysis Item 27

CID
CID1738cca495c306cc36e5c1561af4c921
itemNum
27
initialLetter
itemType
BCR
itemAnswerKey
N/A
itemMaxScorePoints
3
origNum
36

The president of the student government wants to survey the students in the school about their satisfaction with the 36 after-school activities. There are 1,000 students in the school—200 freshmen, 200 sophomores, 300 juniors, and 300 seniors. The president suggested three different sampling methods.

Method A: Randomly choose three students from each of the 36 after-school activities for the survey.

Method B: Randomly select 100 students from the honor roll list to survey.

Method C: Randomly select 20 freshmen, 20 sophomores, 30 juniors, and 30 seniors for the survey.

Complete the following in the Answer Book:

  • Which method provides the most representative sample of the student population? Use mathematics to justify your answer.
  • Use mathematics to justify why each of the other two methods does not provide a representative sample.

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