Random Sampling and Data Collection

AP Statistics· difficulty 1/5

A school district has 80 elementary school classrooms, each containing about 25 students. Researchers want to estimate the proportion of students who eat breakfast at home. They randomly select 8 of the 80 classrooms and survey every student in those chosen classrooms.

80 Classrooms (clusters) Shaded = 8 randomly chosen clusters Survey ALL students in those rooms ~200 students total

Which sampling method is being used?

  • A

    Cluster sample

    check_circle
  • B

    Systematic sample

  • C

    Simple random sample

  • D

    Stratified random sample

Explanation

Classrooms (clusters) are randomly selected, and every student within the chosen clusters is surveyed. This is a cluster sample, distinguished from stratified sampling by sampling whole groups rather than within groups.

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