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

6 rows where contestant = 86

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Suggested facets: base, points

id ▲ task contestant base ± points rank rigid spread scale 5+3 3+2 3½+2½
3151 Look the most like a champion in the Taskmaster titles 652 Lou Sanders 86 0   0              
3156 The thing that makes everyone go, "Wow, that really is the greatest thing." 653 Lou Sanders 86 1   1 5 1 1 1      
3161 Feed yourself a grape in the most elaborate way 654 Lou Sanders 86 2   2 4= 2 1.5 1.88      
3166 Create a wonderful seaside photo cut-out board 655 Lou Sanders 86 4   4 2 4 4 4      
3171 Get the duck into the pond 656 Lou Sanders 86 5   5 1 5 5 5      
3176 Suitcase full of bricks, or suitcase full of balloons? 657 Lou Sanders 86 0   0              

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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
);