(Originais Teachy 2023) - Question Hard of Mathematics

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.