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I have a Figure from a book and some text explaining the figure and I was hoping that somebody could explain/clarify what it means.

Here is the Figure

http://dl.dropbox.com/u/54057365/All/pic.JPG

Here is the text explaining the Figure:

"The data are divided into ten bins having the same probability on the cumulative density

function (cdf). The representative driving distances in each bin are selected having the median cumulative distribution in each bin. The selected distance of one-day driving in each bin ranges from 9.56 to 81.4 miles, thus, the one-way trip distances range

from 4.78 to 40.71 miles."

I'm looking for clarification on the first line.

"The data are divided into ten bins having the same probability on the cumulative density function (cdf)"

Does this mean that the data is divided into 10 bins according the cumulative distribution curve and these bins are 0.1, 0.2 0.3....1.0?

My question is do they have the "same probability"? I would of though that bin 0.2 would have twice the probability of bin 0.1? And bin 0.3 would have three times the probability etc.

Am I understanding this correctly?

Thank you for your help

John

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# A question about a cumulative distribution curve

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