#What's the difference between "percentile" vs "probability" ?

12 messages · Page 1 of 1 (latest)

upper tartan
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Hi, I just came across percentile and realised that I was thinking of it the wrong way. When we talk about percentile, what does that mean? Is it how much data point is above the specified value? For example, a percentile of 10 means how much data points like above 10? Is that similar to probability? Can someone explain pls

outer valeBOT
umbral imp
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xth percentile means x% of the data lies below it and (100-x)% of the data lies above it

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so 10th percentile for example means 10% of the data lies below it and 90% lies above it

nimble fern
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and no not directly similar to probability

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its just the position of a particular data point in an ordered set

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as rishi said

upper tartan
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yep I see

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as far as I remember it was used in cumulative frequency curves

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any reason why it's used there?

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this is the only place I come across percentile so far

knotty shore
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because that's the natural home of percentiles.
by the nature of cumulative frequency curves, the x-axis indicate the number of data points (up to a particular x-value) and the y-value is the (sorted) value of the data point at that x-value/position. so reading along the x-axis, the nth percentile is just reading along n% between 0 and the top of the cumulative freq. curve