Transforms does not support extended_stats which calculate the standard deviation in the search request. Though standard deviation can be approximated via the supported percentiles or median_absolute_deviation, both are probably the easiest approach to this? Alternatively, they can be recalculated using a scripted_metric, though that can significantly reduce a search request's performance depending on the script.
If a normal distribution is given, percentiles will return about the same as the standard deviation in extended_stats.
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