id author title date pages extension mime words sentence flesch summary cache txt american_scientific_journal-8025 J. Gama; C. E. SuΓ‘rez Strong Asymmetry and the Mode, Median, and Mean Inequality 2022 10 .pdf application/pdf 2688 183 68 Remark 15: Let be 𝑋 and π‘Œ two random variables with distribution functions 𝐹 and 𝐺 respectively, then for all 𝑓 odd and increasing function, π‘‰π‘Žπ‘“(𝑋) β‰₯ π‘‰π‘Žπ‘“(π‘Œ) We prove that for strong asymmetric distributions, the inequalities π‘šπ‘’π‘‘π‘–π‘Žπ‘› ≀ π‘šπ‘’π‘Žπ‘›$ π‘Žπ‘›π‘‘ $π‘šπ‘œπ‘‘π‘’ ≀ π‘šπ‘’π‘Žπ‘› are valid, but even in that case, there is no relation between the mode and the median. cache/american_scientific_journal-8025.pdf txt/american_scientific_journal-8025.txt