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Stats - Quantiles

Anyone understand the mathematical logic behind this:

L =(n+1) X (y/100)

I think I may have an idea. The (n+1) is used to indicate the position, and when you have a total of n variables, you have a total of (n+1) intervals. And the y/100 is the percentage indicating the position when the variables are ascending.

So, for example if you have to calculate the position of the 50th percentile of a number of 4 observations, the formula will be: L=5*50/100=2,5. Which is logical when you come to think of it in practice.

I did get this one, though I'm not too good at explaining, sorry.

Cheers,
T.

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Can anyone else help with this?

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