(Originais Teachy 2023) - Question Medium of Mathematics

A school wishes to conduct a survey to understand the profile of students who would benefit the most from Math reinforcement classes. The board is considering two approaches: a census survey, which would involve evaluating all 7th grade students, and a sample survey, which would involve only a portion of the students. The 7th grade has 6 classes with 35 students each. To decide which approach is more suitable, the school needs to consider the efficiency of time and resources and the representativeness of the results. If opting for the sample approach, the school intends to choose a sample that is representative of all classes. Considering that the school can choose up to 4 classes for the sample, elaborate a plan explaining: 1) Why a census survey may be more appropriate in certain contexts and 2) How the school could select a representative sample, justifying the choice of classes and the selection methods.