1/28/13

pdf, cdf, inverse cdf

The average height of a person is 5'4". Here's a pdf:


If you throw a dart at the pdf, and it manages to land under the curve, then it is most likely to land at a common height.

Here's a cdf:


The curve shows what percent of people are less than a given height.

Now, if you literally put all humans in a line-up sorted by height, you'd get this:


Which is an inverse cdf.

I like this curve, because it is easy to create. If you have a bunch of human heights, you just sort them, and plot that. It is also meaningful. It shows what it would look like if you lined up a bunch of humans. And a wide/flat part of the curve means that there's a lot of humans with that height.

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