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

53 rows where contestant = 90

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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
3180 The most jaw-dropping item 658 John Kearns 90 1   1 5 1 1 0.938      
3185 What ten films are you in? 659 John Kearns 90 2   2 4 2 2 2      
3190 Land loo roll in the toilet 660 John Kearns 90 1   1 5 1 1 1      
3195 Create the best picture of a bird 661 John Kearns 90 2   2 2=     1.88 3 2 2.5
3200 Don't pop the balloon 662 John Kearns 90 5   5 1= 5 4.5 5      
3205 The best thing you can't throw away 663 John Kearns 90 1   1 5 1 1 0.938      
3210 Print, laminate, and distribute the most signs 664 John Kearns 90 1   1 5 1 1 1      
3215 Obey all your signs 665 John Kearns 90 1   1 5 1 1 0.938      
3220 Put five grapes in the little bowl 666 John Kearns 90 3   3 3 3 3 3      
3225 Sort the ducks and the socks 667 John Kearns 90 1   1 5 1 1 1      
3230 Make the Taskmaster say your words 668 John Kearns 90 3   3 1=     3.46 5 3 3.5
3235 The thing you most want on a Sunday morning 669 John Kearns 90 5   5 1 5 5 5      
3240 Put the most sand in the shopping trolley 670 John Kearns 90 5   5 1=     5 5 3 3.5
3245 Identify the ice cream flavours 671 John Kearns 90 4   4 2= 4 3.5 3.75      
3250 Catch something 672 John Kearns 90 2   2 4 2 2 2      
3255 Play your sounds right 673 John Kearns 90 4   4 2 4 4 3.33      
3260 The greatest addition to a garden 674 John Kearns 90 3   3 3 3 3 3      
3265 Turn on the bubble machine 675 John Kearns 90 2   2 4 2 2 2      
3270 Get the tarpaulin into one of the containers 676 John Kearns 90 2   2 4 2 2 2      
3275 Write a classic song incorporating five wonderful words 677 John Kearns 90 4   4 2= 4 3.5 3.53      
3280 Egg and spoon throw 678 John Kearns 90 1   1 5 1 1 1      
3285 The most useless thing that cost over £20 679 John Kearns 90 5   5 1 5 5 4.41      
3290 Get the most pleasure from these rubber chutes 680 John Kearns 90 3   3 4 2 2 2.5      
3295 Perform the best routine to this music 681 John Kearns 90 5   5 1=     3.26 5 3 3.5
3300 Luggage trolley bowling 682 John Kearns 90 5   5 1 5 5 5      
3305 Communicate animals by saying letters and doing impressions 683 John Kearns 90 5   5 1=     3 5 3 3.5
3310 The best thing you've ever received in the post 684 John Kearns 90 3   3 3 3 3 3      
3315 Hold the milk bottles above the microwaves 685 John Kearns 90 4   4 2 4 4 4      
3320 Reach the end of two lanes in the same amount of time 686 John Kearns 90 4 1 5 2 4 4 4      
3325 Strike the bullseye with your paint 687 John Kearns 90
DQ
   0              
3330 Paint a unicorn using your head brush 688 John Kearns 90 1   1 5 1 1 1      
3335 The thing you'd most like to have on a car journey 689 John Kearns 90 2   2 4 2 2 2      
3340 Pop 99 red balloons 690 John Kearns 90 5   5 1 5 5 5      
3345 Get this feather into the bath 691 John Kearns 90 5   5 1=     3.95 5 3 3.5
3350 Hit Bernard with an exercise ball 692 John Kearns 90 5   5 1 5 5 5      
3355 Blow an item onto The Knappett 693 John Kearns 90 1   1 5 1 1 0.714      
3360 The best fancy dress 694 John Kearns 90 1   1 5 1 1 1      
3365 Communicate an instruction in a secret language 695 John Kearns 90 0   0              
3370 Pin an alluring tail on the alluring animal 696 John Kearns 90 3   3 3 3 3 3      
3375 Find the back of your hand 697 John Kearns 90 0   0              
3380 Guess the length of the extendible item 698 John Kearns 90 2   2 2=     2.5 3 2 2.5
3385 The most underestimated item 699 John Kearns 90 2   2 4 2 2 2.5      
3390 Snort, raspberry, whistle 700 John Kearns 90 2   2 4= 2 1.5 1.88      
3395 Write a one-minute, one-person play 701 John Kearns 90 5   5 1= 5 4 3.75      
3400 Perform a one-minute, one-person play 702 John Kearns 90 4   4 3 3 3 3.16      
3405 Paint a self portrait with a selected brush on a selected canvas 703 John Kearns 90 4   4 2 4 4 4      
3410 Get your towel in your bucket 704 John Kearns 90 2   2 4= 2 1.5 1.88      
3415 The thing the Taskmaster would most like to own 705 John Kearns 90 3   3 1 5 5 5      
3420 Order three things for your final task 706 John Kearns 90 0   0              
3425 Eat the grape 707 John Kearns 90 1   1 5 1 1 1      
3430 Sculpt your team 708 John Kearns 90 3   3 2=     2.37 3 2 2.5
3435 Throw an object, hide an object, and place it on the barrel 709 John Kearns 90 3   3 3 3 3 3      
3440 Land a balloon near the Taskmaster 710 John Kearns 90 2   2 4 2 2 2      

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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
);