Having trouble understanding how to interpret distribution plots? Or struggling with Q-Q plots? Sven Halvorson penned down a visual tutorial explaining distributions using visualisations of their quantiles.

Because each slice of the distribution is 5% of the total area and the height of the graph is changing, the slices have different widths. It’s like we’re trying to cut a strange shaped cake into 20 equal pieces using parallel cuts. The slices at the center must be thinner since the distribution is denser (taller) than on the edges.

**Sven on distribution signatures**

Here is the plot of matching the quantiles of the chi-squared(4) and normal distributions. I’ve again plotted these quantiles over 98% of each distribution’s range. The chi-squared distribution is skewed so its quantiles are packed into a smaller portion of its axis.

What is this graph telling us? It shows that the exchange rate between the quantiles of the two distributions is not constant.

**Sven on distribution signatures**

Here’s the link to the original article, and the R markdown code on github to generate the webpage.

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