Field note · October 2, 2025

Before you clip the outliers

A max 1.2× the 99th percentile, and the three different things that could be.

1 min read ·Statistics ·statistics quality

A tail worth looking at rather than removing. no2_ppb on city-air-quality tops out at 51.60 against a median of 24.00.

The max is 1.2× the 99th percentile and 3.0 standard deviations above the mean. The median is 24.00, so the top of this column lives in a different regime from the middle of it.

sql
select *
from city_air_quality
order by no2_ppb 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.