Português: GIF sobre as regiões de dados em distribuições de probabilidade assimétricas positivas.
Quanto menor o desvio padrão σ, mais concentrados os dados estão em torno da média. Conforme ele cresce, a assimetria da distribuição diminui.
No gráfico estão indicadas por cores as regiões de probabilidade dos intervalos [μ-(k+1)σ, μ-kσ], bem como as probabilidades de cada região. Está indicada também a desigualdade de Chebyschev para k = {1, 2, 3}.
English: GIF about data sets in positive asymmetric probability distributions.
The lower the standard deviation, the more concentrated the data are around the mean. As it grows, the measure of asymmetry of the distribution decreases.
In the graphs the regions of probability of the intervals [μ - (k + 1)σ, μ - kσ] are indicated by colors, as well as the probabilities of each region. The Chebyschev inequality for k = {1, 2, 3} is also indicated.
This media was produced by NeuroMat and was licensed as Creative Commons BY-SA 4.0. The Research, Innovation and Dissemination Center for Neuromathematics (RIDC NeuroMat) is a Brazilian research center hosted by the University of São Paulo and funded by the São Paulo Research Foundation (FAPESP).
Attribution in English: RIDC NeuroMat Attribution in Portuguese: CEPID NeuroMat