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

5 rows where contestant = 59

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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
2330 The best thing to bring to a party 485 Krishnan Guru-Murthy 59 2   2 4 2 2 2      
2335 Get the biggest thing through the doughnut 486 Krishnan Guru-Murthy 59 3   3 3 3 3 3      
2340 Sculpt the scene on the other side of the wall 487 Krishnan Guru-Murthy 59 4   4 2 4 4 4      
2345 Build the lightest tower 488 Krishnan Guru-Murthy 59 4   4 2 4 4 4      
2350 Strike balls into a bath with an object 489 Krishnan Guru-Murthy 59 0 -1 -1              

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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
);