You may think my math skills are bad but I promise you that your reading skills are worst.
The only courses used in this were those with a rating of 3 or higher. There are ZERO courses in any part of this with a rating less than 3. So that thing you suggested I do is actually exactly what my sister did with the original formula.
There IS a baseline. As I already pointed out multiple times to you but here I am pointing it out again.
Also only 18 hole courses were used so your 9 hole comment also sounds like gibberish. You're one of those I read the headline but none of the article but I know all about it geniuses.
Now let's talk about math. If you look at just the sum and have an area with three courses rated 3 (the baseline) and another with two courses rated 4 and 5 the sum alone says these are equal but clearly the second one has more quality while the previous has more quantity.
By adding in the average of qualifying courses (those rated higher than 3 and having at least 18 holes) you hash out which has more quality. Now the first area has a score of 9 • 3 = 27. While the latter has 9 • 4.5 = 40.5. Now the area with more quality is ranked higher.
But squaring does nothing you say....
Now let's say there is an area with four courses all 3.25, then the original latter area with a 5 and a 4.
The sum of the first is 13 with an average of 3.25. If you just multiply you get 13 • 3.25 = 42.25. This would rank the area with more but less quality courses above the other area with a score of just 40.25.
Now square the averages. 13 • 10.5265 = 137.3125.
9 • 20.25 = 182.25
By squaring the average the area with less but higher quality jumps the area with twice as many courses but less quality.
Now explain to me how squaring does absolutely nothing to the ranking. Explain to me how all these bad 2.5 courses are screwing up the ranking. I'll pop my popcorn.
