There are at least 9 different ways to calculate quantiles. JMP only supports one of them (Weibull estimate). Requesting that other options be supported and user choice allowed for selecting which option is to be invoked. Other SAS tools appear to support multiple options. Based on a 1996 paper (Hyndman and Fan, "Sample Quantiles in Statistical Packages", The American Statistician, Nov. 1996), the Unbiased Median approach is considered to be the most robust. Here are some relevant links that provide further details.
https://mathworld.wolfram.com/Quantile.html
https://en.wikipedia.org/wiki/Quantile_function
https://analyse-it.com/blog/2013/2/quantiles-percentiles-why-so-many-ways-to-calculate-them
Thanks and regards
Mehul Shroff