Field note · August 16, 2025
discount_pct by country: a 14% spread
Real group means for one column across 8 segments, and what the pooled average conceals.
Breaking discount_pct down by country on retail-orders, because the headline average is 0.10 and no segment is actually there.
CA— mean 0.10, median 0.00 (715 rows)FR— mean 0.10, median 0.05 (522 rows)US— mean 0.10, median 0.00 (2,655 rows)DE— mean 0.10, median 0.00 (738 rows)BR— mean 0.10, median 0.00 (367 rows)JP— mean 0.09, median 0.00 (587 rows)
Top to bottom that is 0.10 against 0.09, a spread of 14.4%. The pooled average is 0.10.
select country,
count(*) as rows,
round(avg(discount_pct)::numeric, 2) as mean,
percentile_cont(0.5) within group (order by discount_pct) as median
from retail_orders
group by 1
order by mean desc;The groups are close enough that the pooled average is a fair summary. That is worth confirming rather than assuming: the check costs one query and the failure mode is invisible.
Notice the mean and median columns disagree only slightly here. Always compute both in the group-by. The comparison between them per segment is free and tells you whether you are looking at a level difference or a tail difference.
This is the setup for Simpson's paradox — the case where every segment moves one way and the total moves the other.