answersLogoWhite

0

It is not: it may be better in some circumstances. The arithmetic mean and median are totally useless if the data are categoric. Think about a class of pupils recording what their favourite movie is and - unless they all choose the same film - try and figure out what the arithmetic mean or median could mean!

There are also situations - particularly with highly skewed data - where the median is a superior indicator of the central tendency compared with the mean.

Having said that, the arithmetic mean has some very important statistical properties and it has been studied extensively so there is a lot of information about it. It is beyond the scope of this site but if you are really interested you might want to read about the Central Limit Theorem. Warning: it is basic university level stuff.

User Avatar

Wiki User

11y ago

Still curious? Ask our experts.

Chat with our AI personalities

BeauBeau
You're doing better than you think!
Chat with Beau
RossRoss
Every question is just a happy little opportunity.
Chat with Ross
FranFran
I've made my fair share of mistakes, and if I can help you avoid a few, I'd sure like to try.
Chat with Fran

Add your answer:

Earn +20 pts
Q: Why is arithmetic mean superior to mode and median?
Write your answer...
Submit
Still have questions?
magnify glass
imp