Mangham Math Hunger Games Reaping Analysis




Durham Intermediate School, Southlake, TX Sixth Grade Mathematics Lance.Mangham@southlakecarroll.edu

HOW MANY ENTRIES ARE IN THE DISTRICT 12 REAPING?

The Hunger Games

8000 residents in District 12
30% of all residents are age 18 and under = 2400 children
Evenly distributed would mean there are 931 between age 12 and 18
About 133 would be at each age level
68 boys and 65 girl as slightly more boys are born each year than girls
75% of the children are from tessarae-taking families
Average tessarae family size = 4
The eldest child (up to 18) always takes the tessarae
40% of the children are the oldest in their family still age 18 or under

EXAMPLES

12 Year Old Boys
17 Merchant Children (No Tesserae; +1 Age Entry): 17 Entries
20 Seam Children- Oldest Sibling (+4 Tesserae; +1 Age Entry): 100 Entries
31 Seam Children- Younger Sibling (No Tesserae; +1 Age Entry): 31 Entries
Total (12-13) Entries: 148

12 Year Old Girls
16 Merchant Children (No Tesserae; +1 Age Entry): 16 Entries
20 Seam Children- Oldest Sibling (+4 Tesserae; +1 Age Entry): 100 Entries
29 Seam Children- Younger Sibling (No Tesserae; +1 Age Entry): 29 Entries
Total (12-13) Entries: 145

BOYS

Age Boys Name slips Age Name Slips Additional Tessarae Slips Total Slips Percent chance of being drawn

12 68 1 68 80 148 3.6%

13 68 2 136 160 296 7.1%

14 68 3 204 240 444 10.7%

15 68 4 272 320 592 14.3%

16 68 5 340 400 740 17.9%

17 68 6 408 480 888 21.4%

18 68 7 476 560 1036 25.0%

Total 4144

GIRLS

Age Girls Name slips Age Name Slips Additional Tessarae Slips Total Slips Percent chance of being drawn

12 65 1 65 80 145 3.6%

13 65 2 130 160 290 7.1%

14 65 3 195 240 435 10.7%

15 65 4 260 320 580 14.3%

16 65 5 325 400 725 17.9%

17 65 6 390 480 870 21.4%

18 65 7 455 560 1015 25.0%

Total 4060

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