normalized_scores

Table actions
rigid
the simplest possible normalization: 5 points for 1st (equal), 4 for 2nd (equal), etc.; null for team tasks (only two ranks)
spread
Distribute points from a pool of {5, 4, 3, 2, 1}, with rank ties between N people sharing the next N available point values. (〃)
scale
Multiply every score by some common factor to achieve a sum of 15 for the task; where this causes any individual score to exceed 5, regrettably abandon the 15-point target and scale down to ensure a maximum of 5. Note that this value does exist for team tasks due to being point- rather than rank-based.
5+3, 3+2, 3½+2½
various ways to normalize team tasks based on rank

32 rows where contestant = 7

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Suggested facets: base, points, rank, rigid, spread, scale

id ▲ task contestant base ± points rank rigid spread scale 5+3 3+2 3½+2½
5 The most unusual item 1 Tim Key 7 5   5 1 5 5 5      
10 Eat as much watermelon as possible 2 Tim Key 7 4   4 2 4 4 4      
15 Paint a horse while riding a horse 3 Tim Key 7 2   2 4 2 2 2      
20 Empty the bathtub 4 Tim Key 7 1   1 5 1 1 1      
25 Pop up a tent and pop on a onesie 5 Tim Key 7 5   5 1 5 5 5      
32 The most impressive item 7 Tim Key 7 5   5 1 5 5 5      
37 High-five a 55-year-old 8 Tim Key 7 3   3 3 3 3 3      
42 Identify the contents of the pies 9 Tim Key 7 5   5 1 5 5 5      
47 Do something that will look impressive in reverse 10 Tim Key 7 3   3 4 2 2 2.5      
52 Unshackle yourself and sprint one metre 11 Tim Key 7 2   2 4 2 2 2      
57 The most meaningful item 12 Tim Key 7 3   3 3 3 3 3      
62 Throw a teabag into a mug 13 Tim Key 7 5   5 1 5 5 5      
67 Draw an image using a GPS device 14 Tim Key 7 3   3 3 3 3 3      
72 Buy a gift for the Taskmaster 15 Tim Key 7 1   1 5 1 1 1      
77 Get an egg as high as possible 16 Tim Key 7 0   0              
82 Stand up after 100 seconds 17 Tim Key 7 4   4 2= 4 3.5 3.75      
89 The most beautiful item 19 Tim Key 7 5   5 1 5 5 5      
94 Make a block of ice disappear 20 Tim Key 7 1   1 5 1 1 1      
101 Score 11 points 23 Tim Key 7 0 1 1              
106 Fill an eggcup with tears 24 Tim Key 7 1   1 4= 2 1.5 1      
112 Memorise an Australian Rules Football team 26 Tim Key 7 1   1 1= 5 3 3      
117 The most valuable item 27 Tim Key 7 2   2 4 2 2 2      
122 Move the boulder as far as possible 28 Tim Key 7 3   3 3 3 3 3      
127 Grow the longest nail 29 Tim Key 7 1   1 5 1 1 1      
132 Make a bed while holding hands 30 Tim Key 7 2   2 1=     5 5 3 3.5
137 Make a Swedish person blush 31 Tim Key 7 2   2 4 2 2 2      
142 Inflate the largest balloon while blindfolded 32 Tim Key 7
DQ
   0              
147 The most satisfying item 33 Tim Key 7 5   5 1 5 5 5      
152 Play mini golf with eggs 34 Tim Key 7 3   3 3 3 3 3      
157 Stage a realistic home movie blooper 35 Tim Key 7 2   2 1=     5 5 3 3.5
162 Make an alphabet meal 36 Tim Key 7 3   3 3 3 3 3      
167 Separate the blue sweets 37 Tim Key 7 5   5 1 5 5 5      

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CREATE TABLE normalized_scores (
   id         INTEGER PRIMARY KEY,
   task       INTEGER REFERENCES tasks(id),
   contestant INTEGER REFERENCES people(id),
   base       INTEGER,
   adjustment INTEGER,
   points     INTEGER,
   rank       TEXT,
   rigid      REAL,
   spread     REAL,
   scale      REAL,
   '5+3'      REAL,
   '3+2'      REAL,
   '3½+2½'    REAL
);