Question bank: Statistics: Arithmetic Mean

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Question 1:

Hard

Statistics: Arithmetic Mean

Contextualized Question

Question 2:

Medium

Imagine that you are in charge of organizing a board game competition among the students of a school. You have collected the points from the last five chess championships, where each student scored the following points: 8, 12, 15, 7, and 10. a) Calculate the average points obtained by the students in these championships. b) Determine the range of the data set, that is, the difference between the highest and lowest points obtained. c) Based on the calculated average and range, analyze the overall performance of the students, considering if they are closer to the best or worst score.

Statistics: Arithmetic Mean

Question 3:

Medium

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.

Statistics: Arithmetic Mean

Multidisciplinary Question

Question 4:

Hard

In a school, during an interdisciplinary project on sustainability, 7th-grade students collected data on the electricity consumption of their homes. The collected data showed that the monthly electricity consumption of seven students in kilowatt-hours (kWh) was: 320, 280, 390, 410, 360, 310, and 380. Using this data, the Mathematics students decided to calculate the arithmetic mean of their homes' energy consumption to understand the average consumption value of the class. Additionally, they intend to discuss the relationship between arithmetic mean and sustainability, considering that a lower average may indicate a more efficient energy consumption. The question is: Calculate the arithmetic mean of the monthly electricity consumption of the seven students, and then discuss what would be the impact of a 15% reduction in this average consumption, considering the proposed interdisciplinary context.

Statistics: Arithmetic Mean

Multidisciplinary Question

Question 5:

Medium

Statistics: Arithmetic Mean

IARA TIP

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