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It’s just the generalization of the median to more than two buckets (in this case 100 of them).
by gumby 3y ago
It’s just the generalization of the median to more than two buckets (in this case 100 of them).
- lijok 3y agoYour explanation made it click for me immediately. Thank you !
- jan_Sate 3y agoWouldn't that be 99 buckets?
- Someone 3y agoNo. It’s 100 buckets with 101 percentiles, from p0 to p100.
- rhplus 3y agoWith p0 and p100 being buckets whose min() values (and in the case of p100, only value) are also the min() and max() value of the whole set.
- loehnsberg 3y agoThe buckets are 1,…,100, with percentiles being their boundaries. Since the 0th and 100th percentile are insufficient to form an interval, we only practically use percentiles 1,…,99.
- Someone 3y agoNeither of p0…p100 are buckets. They’re x coordinate of the cumulative distribution function (https://en.wikipedia.org/wiki/Cumulative_distribution_function https://en.wikipedia.org/wiki/Cumulative_distribution_functi...) reaches the lines y = 0.00, y = 0.01, …, y = 0.99, y = 1.00.
- andreasha 3y agoWith the median being the same thing as p50
- nh23423fefe 3y agoOr if you define median as inverseCDF(50/100) then percentiles are just inverseCDF(percentile/100) data series: index -> value integrate to cdf: value -> density invert monotonic: density -> value