A cautionary story on two views on averaging
Have you ever seen that the common residence measurement in your space is quite small, however whenever you ask your neighbors, most of them inform you that they stay in greater residences? Or that the common wage in your organization appears low, however whenever you speak to your colleagues, most of them appear to earn greater than that? Or that the site visitors in your metropolis is horrible, however most individuals you understand commute by public transport?
How can these paradoxes come up, and who’s proper?
Chances are you’ll really feel such as you’re the unfortunate one who all the time will get the shorter finish of the stick, however really it would simply be that these statistics are enjoying methods on you!
On this story, I’ll clarify how this phenomenon arises by serving to you clear up a concrete train on the subject:
The dean of a well-known college claims that they provide a extra personalised studying expertise as a result of the common variety of college students of their lessons may be very low. And but, within the classroom college students complain in regards to the actual reverse! The typical class feels filled with a lot of folks and the coaching classes are loud and scattered. How is that doable?
Suppose that there are 16 seminar programs, which have 10 college students every, and 2 massive lecture…