## A fourth type of average?

For the discussion of math. Duh.

Moderators: gmalivuk, Moderators General, Prelates

Pfhorrest
Posts: 5008
Joined: Fri Oct 30, 2009 6:11 am UTC
Contact:

### A fourth type of average?

Is there a name for ([highest value] + [lowest value] / 2)? That's not the mean, median, or mode (unless you only have two members in the set you're measuring). But it seems like that's some kind of "average" in a sense that might be useful on some occasions.
Forrest Cameranesi, Geek of All Trades
"I am Sam. Sam I am. I do not like trolls, flames, or spam."
The Codex Quaerendae (my philosophy) - The Chronicles of Quelouva (my fiction)

ConMan
Shepherd's Pie?
Posts: 1678
Joined: Tue Jan 01, 2008 11:56 am UTC
Location: Beacon Alpha

### Re: A fourth type of average?

pollywog wrote:
Wikihow wrote:* Smile a lot! Give a gay girl a knowing "Hey, I'm a lesbian too!" smile.
I want to learn this smile, perfect it, and then go around smiling at lesbians and freaking them out.

Soupspoon
You have done something you shouldn't. Or are about to.
Posts: 3730
Joined: Thu Jan 28, 2016 7:00 pm UTC
Location: 53-1

### Re: A fourth type of average?

It's also the antithesis of the Winsorised value, a potentially problematic (composite) value to which Winsorising is the solution and a solution to some of the potential problems of the Winsorisish issues. Mathematically, it's interesting to observe as the key to the recursive offset each time you progressively clip extremes off the sequence to see what sort of curve you get betwixt mean (or, in some odd cases, mode) and median. Which can sometimes tell you things about the set generation, alongside analyses for Benford's Law, etc.

ucim
Posts: 6589
Joined: Fri Sep 28, 2012 3:23 pm UTC

### Re: A fourth type of average?

Soupspoon wrote:it's interesting to observe as the key to the recursive offset each time you progressively clip extremes off the sequence to see what sort of curve you get
Sounds like you want a violin plot. Or a viola plot.

Jose
Order of the Sillies, Honoris Causam - bestowed by charlie_grumbles on NP 859 * OTTscar winner: Wordsmith - bestowed by yappobiscuts and the OTT on NP 1832 * Ecclesiastical Calendar of the Order of the Holy Contradiction * Please help addams if you can. She needs all of us.

Soupspoon
You have done something you shouldn't. Or are about to.
Posts: 3730
Joined: Thu Jan 28, 2016 7:00 pm UTC
Location: 53-1

### Re: A fourth type of average?

ucim wrote:
Soupspoon wrote:it's interesting to observe as the key to the recursive offset each time you progressively clip extremes off the sequence to see what sort of curve you get
Sounds like you want a violin plot. Or a viola plot.

I was thinking more a Banjo-Didgeridoo-Saxophone-Marimba plot.

DavCrav
Posts: 241
Joined: Tue Aug 12, 2008 3:04 pm UTC
Location: Oxford, UK

### Re: A fourth type of average?

The fourth type of average would I guess be the geometric mean, assuming that the arithmetic mean was your other one. If not, then you should read them the other way round.

doogly
Dr. The Juggernaut of Touching Himself
Posts: 5463
Joined: Mon Oct 23, 2006 2:31 am UTC
Location: Lexington, MA
Contact:

### Re: A fourth type of average?

You do not have to assume the other ones, they're right there in the first post.

Shoutout to the harmonic mean also, while we're at it.
LE4dGOLEM: What's a Doug?
Noc: A larval Doogly. They grow the tail and stinger upon reaching adulthood.

Keep waggling your butt brows Brothers.
Or; Is that your eye butthairs?

Soupspoon
You have done something you shouldn't. Or are about to.
Posts: 3730
Joined: Thu Jan 28, 2016 7:00 pm UTC
Location: 53-1

### Re: A fourth type of average?

doogly
Dr. The Juggernaut of Touching Himself
Posts: 5463
Joined: Mon Oct 23, 2006 2:31 am UTC
Location: Lexington, MA
Contact:

### Re: A fourth type of average?

Soupspoon wrote:Mr Mean

Not to be confused with Mr Green
LE4dGOLEM: What's a Doug?
Noc: A larval Doogly. They grow the tail and stinger upon reaching adulthood.

Keep waggling your butt brows Brothers.
Or; Is that your eye butthairs?

Eebster the Great
Posts: 3142
Joined: Mon Nov 10, 2008 12:58 am UTC
Location: Cleveland, Ohio

### Re: A fourth type of average?

While we're at it, nobody seems to have mentioned that the technical term for what Pfhorrest calls an "average" is a "measure of central tendency," and there are many such examples, a few of which are listed in the corresponding Wikipedia article.