demoAllocation (
    "Distribution: Limbic~Region",
    {a  => 3, b => 4, c => 2, d => 2},
    {'1.0' => 1, '2.0' => 1, '3.0' => 1, '4.0' => 1, '5.0' => 1, '6.0'
+ => 1,
     '7.0' => 1, '8.0' => 1, '9.0' => 1, '10.0' => 1, '11.0' => 1
    }
);
__DATA__
Distribution: Limbic~Region
a:      1 @ $2.00
        1 @ $3.00
        1 @ $9.00
        bucket avg: $4.67, deviation: $-1.333

b:      1 @ $1.00
        1 @ $10.00
        1 @ $11.00
        bucket avg: $7.33, deviation: $1.333

c:      1 @ $5.00
        1 @ $6.00
        1 @ $7.00
        bucket avg: $6.00, deviation: $0.000

d:      1 @ $4.00
        1 @ $8.00
        bucket avg: $6.00, deviation: $0.000
[download]

It is easy to show that this is not the best result. Consider a perfect distribution:

• 1, 11, 6
• 2, 10, 3, 9
• 7, 5
• 8, 4