CommonMedianPercentileDocs
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Both the median and the percentile are quantiles; the median is simply the 50th percentile. Unless a quantile lands exactly on one of the values, it needs to be estimated from the values around it. There are several common methods to do this. DataFrame follows the definitions of Hyndman, R. J. & Fan, Y. (1996). Sample Quantiles in Statistical Packages and Apache Commons Statistics, which call these methods R1 to R9.