(Originais Teachy 2023) - Question Medium of Mathematics

In a classroom, students took a test with 5 questions, and the maximum score for each question is 10. The students' grades were as follows: Bruno 9, Carlos 7, Maria 8, João 6, and Ana 5. Considering that the arithmetic mean of the grades is an indicator of the overall performance of the class, calculate the arithmetic mean of the students' grades. Then, discuss the importance of the arithmetic mean as a statistical tool to evaluate the collective performance of the students. Consider that the arithmetic mean is the result of the sum of all values in a data set, divided by the total number of values in that set. Propose a situation where the arithmetic mean could be misinterpreted if other aspects of the students' performance, such as the distribution of grades or the context of the test questions, were not considered.