We are dealing with two different definitions for average. The first definition is the center of a zero to five scale. The second definition is how you would actually rate something on that scale.
Let me give an example. If we looked at the average speed for all drivers on the interstate on a scale from 0-70mph would most drivers be driving at 35mph with a nice bell curve out from there?. No >50% would be driving faster than 35mph.
Yeah, but the average wouldn't be 35mph, either. I'll be there's still a bell curve, too.
Let me give another example. If I asked you to rate the beauty of all the women you know on a scale of 1-10 would most of them be 5's with a nice bell curve out from their. No > 50% would be above 5 because most women are prettier than a 5.
Yeah, but the average isnt' 5, either. I'll be there's still a bell curve (so to speak), too.
Let me give another example. If we weighed all members of DGCR on a scale of 0 to 300 pounds would most of them be 150 pounds with a nice bell curve out from there. No > 50% would be >150 pounds. There would be a few at or above 300 but none at 0 pounds.
Yeah, but the average wouldn't be 150lbs, either. I'll bet there's still a bell curve, too.
Generally when you talk about average in statistics you are talking about the mean, not the median. Analysis based on the median isn't nearly as useful as analysis based on the mean in situations like this.
Yes, if you take the mean of the possible scores you'll get 2.5. However, if you take the actual ratings of all the courses out there I'm guessing you won't get exactly 2.5 unless you purposly skew the results that way. That would mean that even if every course in existance were what most of us could call a 5 now that the wost of them would be a 0 and the very best would be a 5. Half of them would fall between 0.63 and 4.4. The question is do we want it to be that way or would we rather they all be called 5's?
In other words, should we rate the courses based on how good other coures are or based on how good the course is on its own? Do we want to force it to a bell curve where the mean is 2.5 or do we want to set up what each value represents and see what the mean comes out to? I honestly don't know, but putting the word "average" in there will make some people do the former and some people do the latter which will make the results less useful.
An example of what might happen if we force the average to be 2.5 would be if all of a sudden DG got super popular and a ton of really, really good courses got made. That would actually force the ratings of many 4's and 5's to be lowered to fit the curve. Would we rather see that happen or would we rather just see the actual average get higher? If you were doing a presentation to sell the idea of disc golf to a friend, which scale would you rather use, the one where 2.5 is the average or the one where the average was raised because of all the great courses being installed?
Olorin said:
Not necessarily. The word "Average" has a semantic range with several meanings.
But it's still very ambiguous, especally when you're talking about gathering data on a site like this, which is my point. Do you really want ambiguous terms used when people come up with their ratings? That will skew some, but not all ratings based on how people interpret that one word.
timg said:
Well my intention was for it to mean "b: not out of the ordinary"
Then label 2.5 as "ordinary."
![Wink ;) ;)](data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7)
Personally I think "decent" is a better term to use because it has less of a statistical implication, but it's not my site.