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

33 rows where contestant = 3

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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
1 The most unusual item 1 Frank Skinner 3 4   4 2 4 4 4      
6 Eat as much watermelon as possible 2 Frank Skinner 3 2   2 4 2 2 2      
11 Paint a horse while riding a horse 3 Frank Skinner 3 5   5 1 5 5 5      
16 Empty the bathtub 4 Frank Skinner 3 4   4 2 4 4 4      
21 Pop up a tent and pop on a onesie 5 Frank Skinner 3 4   4 2 4 4 4      
26 Find Alex 6 Frank Skinner 3 0   0              
28 The most impressive item 7 Frank Skinner 3 4   4 2 4 4 4      
33 High-five a 55-year-old 8 Frank Skinner 3 2   2 4 2 2 2      
38 Identify the contents of the pies 9 Frank Skinner 3 1   1 5 1 1 1      
43 Do something that will look impressive in reverse 10 Frank Skinner 3 1   1 5 1 1 0.833      
48 Unshackle yourself and sprint one metre 11 Frank Skinner 3 1   1 5 1 1 1      
53 The most meaningful item 12 Frank Skinner 3 4   4 2 4 4 4      
58 Throw a teabag into a mug 13 Frank Skinner 3 4   4 2 4 4 4      
63 Draw an image using a GPS device 14 Frank Skinner 3 2   2 4 2 2 2      
68 Buy a gift for the Taskmaster 15 Frank Skinner 3 3   3 3 3 3 3      
73 Get an egg as high as possible 16 Frank Skinner 3 0   0              
78 Stand up after 100 seconds 17 Frank Skinner 3 2   2 4 2 2 1.88      
85 The most beautiful item 19 Frank Skinner 3 3   3 3 3 3 3      
90 Make a block of ice disappear 20 Frank Skinner 3 4   4 2 4 4 4      
97 Score 11 points 23 Frank Skinner 3 0 1 1              
102 Fill an eggcup with tears 24 Frank Skinner 3 5   5 1 5 5 5      
108 Memorise an Australian Rules Football team 26 Frank Skinner 3 1   1 1= 5 3 3      
113 The most valuable item 27 Frank Skinner 3 4   4 2 4 4 4      
118 Move the boulder as far as possible 28 Frank Skinner 3 4   4 2 4 4 4      
123 Grow the longest nail 29 Frank Skinner 3 3   3 3 3 3 3      
128 Make a bed while holding hands 30 Frank Skinner 3 2   2 1=     5 5 3 3.5
133 Make a Swedish person blush 31 Frank Skinner 3 3   3 3 3 3 3      
138 Inflate the largest balloon while blindfolded 32 Frank Skinner 3 4   4 2 4 4 4      
143 The most satisfying item 33 Frank Skinner 3 2   2 4 2 2 2      
148 Play mini golf with eggs 34 Frank Skinner 3 4   4 2 4 4 4      
153 Stage a realistic home movie blooper 35 Frank Skinner 3 2   2 1=     5 5 3 3.5
158 Make an alphabet meal 36 Frank Skinner 3 5   5 1 5 5 5      
163 Separate the blue sweets 37 Frank Skinner 3 3   3 3 3 3 3      

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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
);