Sunday 5 February 2023

Mastermind 2023: Let's have a look at the scores on the doors

It’s been a while since I did any number crunching on Mastermind. Tomorrow’s subjects are

The Lord of the Rings by JRR Tolkein

The Great Fire of London

Film adaptations of Shakespeare Tragedies

The Career of John Barnes

I want to stress that I am nowhere near an expert at all on any one of those subjects. However I do feel that it is possible that I might get one or two on each of them, which just gives me an opportunity for my a shot at a half decent unwikied aggregate. So I haven’t wikied, and that’s left me just a little bit of time to start doing just a little statistical analysis on the series so far, as far as my frankly unimpressive arithmetical skills have allowed.

 So, there’s been 19 shows. The aggregates and average scores are in the table below:-

Aggregate Specialist round score

Aggregate specialist round passes

Aggregate GK round score

Aggregate GK round passes

Aggregate Total score

Aggregate total passes

688

45

758

102

1446

145

Average Specialist round score

Average Specialist round passes

Average GK Round Score

Average GK round passes

Average Total score

Average total passes

9.052632

0.592105

9.973684

1.342105

19.02632

1.907895

I don’t reckon that’s too bad when you get right down to it. Let’s look at just the heat winners now. Just the heat winners’ aggregates and averages are in the next table:- 

Aggregate Specialist round score

Aggregate specialist round passes

Aggregate GK round score

Aggregate GK round passes

Aggregate Total score

Aggregate total passes

214

3

227

11

441

13

Average Specialist round score

Average Specialist round passes

Average GK Round Score

Average GK round passes

Average Total score

Average total passes

11.889

0.1667

12.611

0.6111

24.5

0.7222

 It makes for an interesting comparison. 5 points is a significant margin, and the average winner scores five points more than the average contender  (and remember, the winners are also included within the overall contender averages.) How typical this is I have no idea since I haven’t done this with a previous series.

Of course, you have to remember especially when looking at the winners’ averages that we’re only dealing with a small number of winners – 19 to be precise. Not only that, but there is frankly a massive range within that small field – from 31, the current top score of the series, down to 17, the current lowest winning score of the series. Speaking of which there are currently 4 runners up who scored more highly than the average winner, and another 2 who are only half a point below the average. Yes, I know, that’s the vicissitudes of tournament play, but I’m still allowed to sympathise when someone can score one of the top 10 scores in the whole of the first round (so far) but they still don’t get to the semi-final. 

Let’s take a little look at the perennial old question – are popular entertainment rounds easier than other rounds? Here’s the figures for TV – Films – Music – and also for sport 

Subject

No of rounds

Aggregate

Average

Passes

Average

TV

14

119

8.5

10

0.7143

Film

9

80

8.8889

7

0.7778

Music

9

78

8.6667

7

0.7778

TV/FilmMusic Total

32

277

8.6563

24

0.75

Sport

4

37

9.25

0

0

 Look how close each of those averages are. Yes, the entertainment rounds average less than the average for all specialist rounds, but there really is very little in it. TV is only a smidgen more than half a point less, while the highest, sport is only a quarter of a point higher than the average for all specialist rounds.

 Alright, we are only dealing with very small numbers. Nevertheless, isn’t it reassuring that what we’ve always said, these subjects are perfectly valid in their own right and do not confer any advantage on those who opt for them seems to be borne out by the figures? Which seems to point to what I would have thought was obvious – the only way to give yourself an advantage on specialist is to work as hard and as effectively as you can to learn your subject.

2 comments:

Andrew B. said...

It doesn't make a big difference, but I think you've divided the winners' totals by 18 instead of 19.

Londinius said...

Ah, never work with children, animals or numbers! Thanks fo leaving a comment - all my own human error.