It's a test of the universal law that two random different things are never miraculously equal and never equal unless there is a spectacularly good reason. This applies even when there is a spectacularly good reason to think that they would be roughly equal, and also when summing and taking averages.
As a close analogy, consider the mass of each bottle to be the IQ of each person in a group, and the bottle types produced by each company to each comprise a group.
What I believe you meant to say is that the results of two different processes "are never miraculously equal and never equal unless there is a spectacularly good reason."
Today's post, Why Are Individual IQ Differences OK? was originally published on 26 October 2007. A summary (taken from the LW wiki):
Discuss the post here (rather than in the comments to the original post).
This post is part of the Rerunning the Sequences series, where we'll be going through Eliezer Yudkowsky's old posts in order so that people who are interested can (re-)read and discuss them. The previous post was No One Knows What Science Doesn't Know, and you can use the sequence_reruns tag or rss feed to follow the rest of the series.
Sequence reruns are a community-driven effort. You can participate by re-reading the sequence post, discussing it here, posting the next day's sequence reruns post, or summarizing forthcoming articles on the wiki. Go here for more details, or to have meta discussions about the Rerunning the Sequences series.