TdlM / taskmaster

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normalized_scores

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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

51 rows where contestant = 68

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Suggested facets: base, points, rank, rigid, spread, scale, 5+3, 3+2, 3½+2½

id ▲ task contestant base ± points rank rigid spread scale 5+3 3+2 3½+2½
2607 The nicest thing to sit on 542 Alan Davies 68 4   4 2 4 4 4      
2612 Strike Alex with a ball 543 Alan Davies 68 1   1 5 1 1 1      
2617 Paint a flattering picture of the Taskmaster in action 544 Alan Davies 68 4   4 2 4 4 4      
2622 Pop the balloon 545 Alan Davies 68 5   5 1 5 5 5      
2627 Strike poses to represent a hobby, an animal, and a celebrity 546 Alan Davies 68 1   1 4= 2 1.5 1      
2632 The most awesome square 547 Alan Davies 68 4   4 2 4 4 4      
2637 Scale the mountain 548 Alan Davies 68 3   3 2=     2.14 3 2 2.5
2642 Work out the contents of the bags 549 Alan Davies 68 3   3 3= 3 2.5 2.81      
2647 Paint the space hopper green 550 Alan Davies 68 3   3 3 3 3 3      
2652 Put on the medallion 551 Alan Davies 68 3   3 3 3 3 3      
2657 The most old-fashioned thing that you still use 552 Alan Davies 68 3   3 3 3 3 3      
2662 Copy Alex 553 Alan Davies 68 1   1 5 1 1 1      
2667 Make a sand bridge across the river 554 Alan Davies 68 5 1 6 1 5 5 5      
2672 Film a thrilling sequence with a welly-cam 555 Alan Davies 68 2   2 5 1 1 1.76      
2677 Convey objects using shadows 556 Alan Davies 68 2   2 2=     1.88 3 2 2.5
2682 The best thing that has quite a few layers 557 Alan Davies 68 5   5 1 5 5 5      
2687 Complete the course as slowly as possible 558 Alan Davies 68 4   4 2 4 4 4      
2692 Spread jam on toast in a really cool way 559 Alan Davies 68 4   4 2 4 4 3.75      
2697 Solve the riddle 560 Alan Davies 68 5   5 1=     4.69 5 3 3.5
2702 Get the most forks in your bucket 561 Alan Davies 68 3   3 3 3 3 3      
2707 The most elegant thing beginning with 'G' 562 Alan Davies 68 4   4 2 4 4 4      
2712 Sit on a cake 563 Alan Davies 68 2   2 4 2 2 2      
2717 Get the most balls in the net 564 Alan Davies 68 0   0              
2722 Prevent Alex from scoring a goal 565 Alan Davies 68 4   4 2 4 4 4      
2727 Pop the most balloons 566 Alan Davies 68 4   4 2 4 4 2      
2732 The most desirable thing for another contestant 567 Alan Davies 68 2   2 4 2 2 2      
2737 Land the iron on the ironing board 568 Alan Davies 68 5   5 1 5 5 5      
2742 Make a cute toy for a cute dog 569 Alan Davies 68 3   3 3 3 3 3      
2747 Sit on the red chair in the secret tower 570 Alan Davies 68 3   3 3 3 3 3      
2752 Make paper aeroplanes 571 Alan Davies 68 1   1 5 1 1 0.938      
2757 The most ridiculous thin thing 572 Alan Davies 68 3   3 3 3 3 3      
2762 Put up a shelf for the Taskmaster's snooker balls 573 Alan Davies 68 4   4 1 5 5 3.75      
2767 Write and perform a 30-second jingle 574 Alan Davies 68 4   4 3= 3 2.5 3      
2772 Pass everything through the pipe and the pipe through everything 575 Alan Davies 68 0   0              
2777 Direct drawings using limited keywords 576 Alan Davies 68 5   5 1= 5 4.5 5      
2782 The best thing you have repurposed 577 Alan Davies 68 4   4 2 4 4 4      
2787 Make a popcorn necklace and do the right thing 578 Alan Davies 68 4   4 2 4 4 4      
2792 Play and commentate on a socially-distanced sport 579 Alan Davies 68 5   5 1=     3 5 3 3.5
2797 Make your face look like another face when it's upside-down 580 Alan Davies 68 5   5 1= 5 4.5 3.75      
2802 Pop up before the objects 581 Alan Davies 68 3   3 3= 3 2.5 2.65      
2807 Blow a feather across a table with your nose 582 Alan Davies 68 0   0              
2809 The best 40 identical things on a towel 583 Alan Davies 68 5   5 1 5 5 5      
2814 Have the longest telephone conversation 584 Alan Davies 68 1   1 5 1 1 1      
2819 Find the soldier with hindsight 585 Alan Davies 68 1   1 5 1 1 1      
2824 Get goosebumps 586 Alan Davies 68 4   4 2 4 4 4      
2829 Duck-slide 587 Alan Davies 68 0   0              
2834 The most magnificent floppy thing 588 Alan Davies 68 4   4 2= 4 3.5 3.75      
2839 Drink with your mouth open 589 Alan Davies 68 3   3 3 3 3 3      
2844 Describe the Taskmaster / Chocolate button / Guess the tasks 590 Alan Davies 68 5   5 1=     3.41 5 3 3.5
2849 Propose to Alex 591 Alan Davies 68 4   4 3= 3 2.5 2.86      
2854 Make noises without being identified by the Taskmaster 592 Alan Davies 68 3   3 3= 3 2 2.37      

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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
);
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