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What does the purse distribution curve show?

In plotting  the golf purses as a function of the first place prize, we found something very interesting. We plotted the average purse [AVG] and what appears to be the distribution choice of most tournaments [STD].
 It turns out that these curves, plotting each position as a percentage of the first place money is almost identical to a curve where each position equals the first place prize divided by the position of the player [ATG]. The chart showing these plots is found below. All the 41 individual tournaments for 2002 are plotted in black. These curves are essentially the same today.

As you will notice our distribution curve (in white) is only slightly below the others at the top positions, but at about the 30th position our payout is better.
It should be noted that the first to last place payout for most tours averages about 90 to 1 except the Iron Man American (Nationwide) which has a very good payout close to the average cut. The Iron Man Fifty plus Tour has a ridiculous Average of about 231 to 1.

These curves are for the PGA Tour.
Their official Distribution is calculated as a per cent of the Gross purse for each position as follows:

We did an analysis of the official purse distributions of the PGA. 
This further substantiates our position.
PGA distribution curves.

PGA Tour Purse Distribution
1 0.18000 26 0.00800 51 0.00246
2 0.10800 27 0.00770 52 0.00240
3 0.06800 28 0.00740 53 0.00236
4 0.04800 29 0.00710 54 0.00232
5 0.04000 30 0.00680 55 0.00230
6 0.03600 31 0.00650 56 0.00228
7 0.03350 32 0.00620 57 0.00226
8 0.03100 33 0.00590 58 0.00224
9 0.02900 34 0.00565 59 0.00222
10 0.02700 35 0.00540 60 0.00220
11 0.02500 36 0.00515 61 0.00218
12 0.02300 37 0.00490 62 0.00216
13 0.02100 38 0.00470 63 0.00214
14 0.01900 39 0.00450 64 0.00212
15 0.01800 40 0.00430 65 0.00210
16 0.01700 41 0.00410 66 0.00208
17 0.01600 42 0.00390 67 0.00206
18 0.01500 43 0.00370 68 0.00204
19 0.01400 44 0.00350 69 0.00202
20 0.01300 45 0.00330 70 0.00200
21 0.01200 46 0.00310
22 0.01120 47 0.00290
23 0.01040 48 0.00274
24 0.00960 49 0.00260
25 0.00880 50 0.00252

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Purse Distribution Chart for all events in 2002 Chart 2002 Purse Distribution

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Last updated Thursday, July 12, 2007