BOWLING LEAGUE
- METHODS FOR CALCULATING PRIZE LISTS - -
Also see additional
information regarding lots of other aspects of bowling league
competition.
(Link fixed 05-02-2008, ISP changed
format for URL addresses)
The bowling league prize fund can be distributed by paying by team
position or for points won.
Points might be an incentive for competition, but can also lead to a
wide spread between teams.
It is recommended to setup a prize list that will be equitable, so all
teams enjoy the competition.
Another consideration would be to keep the weekly personal cost
reasonable, to avoid bowler loss.
Captains have the responsability to distribute prize money to team
members, in a timely manner.
(Teams that have additional members usually prorate for the number of
weeks actually bowled.) When determining proposed
prizes, the various awards will probably need
additional adjustments, until all of the numbers work
out for the best possible plan for
distributing the funds available.
---------------------------------------------------------------------------------------------------------------------
The League Operations Manual (2009-10)
contains several items regarding league prize
funds.
(Pages 37-38) Adult "Suggested League
Rules" also include the following: #6.) A
prize list, drawn up by a committee appointed by the league president,
must be
submitted for approval by the league board of directors / full
membership (select one) within five weeks after the start
of the schedule. (Refer to USBC Rule
117a.)
Also available is a separate Prize
List PDF regarding fairness, when to adopt and how to vote.
--------------------------------------------------------------------------------------------------------------------- EXAMPLE:
League has ten 5-person teams and will bowl 30 weeks of
team
competition.
(League "lane and other center fees" have already
been determined and set aside.)
League Fund $1.00 x 50 persons =
$50. per week x 30 = $ 1500.
League determined some money to be set aside to
cover: ( - 360.)
Secretary & Treasurer salaries, Banquet expenses,
Special prizes for High Scores & other noteworthy
achievements.
(- - - >> $360. allocated
might need adjustments, as indicated, sections below.)
Balance available for Team Position Awards for Full
Season $ 1140.
Divided by
2 ($ 570. for Each Half)
--------------------------------------------------------------------------------------------------------------------- 1.) TEAM POSITION
CALCULATIONS:
To divide
the money, three formulas can be used with the following definitions:
N
The
number of places to be paid (teams)
M
N-1
$USED
The
Money Total Used for All Places
$DIFF
The
Money Difference Between Each Position
$LAST
The
Money Paid to the Last Place Team
$FIRST
The
Money Paid to the First Place Team
K
(N x
M) / 2
Formula (1) $LAST
[
$USED - ( K x $DIFF)
] / N
Formula (2) $FIRST
[
$LAST + ( M x $DIFF) ]
Formula (3) $USED
[(N x
$LAST) + ( K x $DIFF) ]
The following examples show how these formulas can be used for various
$DIFF values.
For this
league:
N = 10, M = 9, K = 45, $USED
= $570.
If we use
$DIFF = $4:
Formula (1)
$LAST = [570. - (45 x
4)] / 10 or [570 - 180] / 10 or
390./10
= $ 39.
Formula (2)
$FIRST = [ 39.
+ ( 9 x 4)] or [39 + 36] =
$75.
Formula (3)
$USED = [(10 x 48.) +
(45 x 2)] or [480. + 90] = $570.
---------------------------------------------------------------------------------------------------------------------
As the team positions are usually determined by total points
accumulated, if 2 teams have earned
the same point totals, the 2 positions would be combined and the money
would be split evenly.
Example: (positions 5 and 6, original values 58. + 56. =
114. / 2 = 57. each)
The team place money would then be:
Places 1-10: $66, 64, 62, 60, 57, 57, 54, 52, 50, 48.
---------------------------------------------------------------------------------------------------------------------
If the league was using 3 rounds
instead of 2 halves, the $1140 available would be divided by 3.
The formulas would be recalculated with $Used = $380 for each
round.
If the calculated total dollars for each round results in a dollars and
cents amount, the number
can be rounded to an even dollar amount and any extra money could be
added for other awards.
--------------------------------------------------------------------------------------------------------------------- 2.) TEAM
POINTS
CALCULATIONS: (League awards 7 points, 2 for games, 1 for
series) For Each Half Season:
(15 weeks X 7 points X 10 teams X 0.5 =
525 points available)
$570. available / 525 points = $1.0857
payout per point (Adjust to a reasonable number.)
Adjust to an even number, to ease
payout for split point ties. (Try using $1.00)
525 points X $1.00 = $525.00, plus extra money left over $45.
($90. for full year)
525 points X $1.10 = $577.50 ($7.50 over amount allocated.)
($15. for full year)
$1.10 probably better value
(Adjust the set aside $360. some way.)
If 3 Rounds Used:
(10 weeks X 7 points X 10 teams X 0.5 =
350 points available)
$380. available / 350 points = $1.0857 payout per point (Adjust to a
reasonable number.)
350 points X $1.00 = $350.00, plus
extra money left over $30. ($90. for full year)
350 points X $1.10 = $385.00 ($5.00 over amount allocated.)
($15. for full year)
$1.10 probably better value
(Adjust the set aside $360. some way.)
---------------------------------------------------------------------------------------------------------------------
Other Considerations: If the League has an uneven number of
teams, there will be additional adjustments.
A.) Team Position calculations example work ok (Split season N=9, M=8,
K=36, $USED=495)
B.) USBC Rule 104d describes points considerations - - Earn, Draw or
Bye situations.
Teams may be required to bowl at least their team average less 10 pins
per player, if they don't,
some points may be "classified as
unearned" so some money may be set aside at season's end.
(You could consider a "ghost team" team winning those points, so use 10
teams for calculations.)
The Question & Answer section also indicates items that could cause
other adjustments.
---------------------------------------------------------------------------------------------------------------------