Averages and Other Statistical Measures: Concepts and Applications
Applied Mathematics; Averages; Classical Mean Inequalities; Other Statistical Measures; Measures of Dispersion; Spreadsheets; Digital Resources and Technologies.
This dissertation, developed within the scope of the Professional Master's Degree in Mathematics in National Network (PROFMAT), aims to investigate and propose pedagogical approaches for teaching averages and statistical measures in middle and high school education. The study highlights the importance of these concepts in the formation of critical citizens capable of interpreting and analyzing data in a world increasingly driven by quantitative information. To this end, didactic strategies incorporating the use of spreadsheet software, such as Microsoft Excel and LibreOffice Calc, were explored to make the learning process more dynamic, visual, and aligned with students' digital realities. The proposal seeks not only to facilitate the understanding of statistical content but also to develop technological and analytical skills. The material can be used in full or adapted by teachers according to the level and needs of their students, and it is also accessible to self-taught learners. The results indicate that the use of digital tools significantly contributes to student engagement and promotes a more meaningful understanding of statistical concepts.