Field note · May 15, 2025
The top of temp_c is 1.1× the 99th percentile
A max 1.1× the 99th percentile, and the three different things that could be.
temp_c on city-air-quality: p99 is 28.50 and the max is 31.80.
The max is 1.1× the 99th percentile and 2.2 standard deviations above the mean. The median is 14.00, so the top of this column lives in a different regime from the middle of it.
select *
from city_air_quality
order by temp_c desc
limit 20;Run that before deciding anything. There are three things an extreme value can be, and they need opposite treatment: a data error, a real but rare event, or a different population that got mixed into the same table. Only the first is safe to drop, and you cannot tell them apart from the summary statistics — you have to look at the rows.
A ratio this modest is consistent with an ordinary heavy tail — nothing anomalous, just a distribution that is not symmetric.
Clipping at the 99th percentile is a decision to discard your most interesting rows. Sometimes right. Never automatic, and never silent — if a number in a report was computed on clipped data, the report has to say so.