Hello, I was hoping for some assistance in using statistical data to create an accurate 101-point, point system.
Current Solution:
This is currently done by taking the average, max, and min of the data.
The average is represented by 51 points (half of 101)
The min is represented by 0 points
The max is represented by 101 points
The difference between the min and average is split up so that the points from 0-50 are evenly distributed between the increments of data.
The same is done between the average and max, so that the points from 52-101 are evenly distributed between the range of data.
Problem:
The issue arises when the data is skewed, and the max is much greater than the average. When this occurs, 51 points doesn't represent an accurate average.
I was wondering how I could set the points system up in a way that 51 points is as close to an accurate average as possible.
I wasn't sure if variance or standard deviation could be the key to figuring out this problem.
Any help would be greatly appreciated.
Thanks
Current Solution:
This is currently done by taking the average, max, and min of the data.
The average is represented by 51 points (half of 101)
The min is represented by 0 points
The max is represented by 101 points
The difference between the min and average is split up so that the points from 0-50 are evenly distributed between the increments of data.
The same is done between the average and max, so that the points from 52-101 are evenly distributed between the range of data.
Problem:
The issue arises when the data is skewed, and the max is much greater than the average. When this occurs, 51 points doesn't represent an accurate average.
I was wondering how I could set the points system up in a way that 51 points is as close to an accurate average as possible.
I wasn't sure if variance or standard deviation could be the key to figuring out this problem.
Any help would be greatly appreciated.
Thanks