vires in notitia

Series 21, Episode 3: The Struggles of Winking and Wanking

Posted on Apr 29, 2026

Figure 1: The Grand Arrival of this post, flaws and all.
NOT a dig at Lorraine Kelly or Armando, more on my writing.

The Grand Arrival of this post, flaws and all. <br> <b>NOT</b> a dig at Lorraine Kelly or Armando, more on my writing.

Your Task

Brick Brick Brick Brick Brick

(In a sing-songy Welsh accent) Not being funny right, but your task this week is to provide a statistical commentary on Episode 3 of Series 21 of UK Taskmsater.

Because it’s like, you’ve done a such a good job in the past couple of weeks, and so I was thinking right, you could do the commentary. And like, I know you were late on the commentary for Episode 2 right, but the truth is right, I don’t mind if it’s late, I just want it to be insightful. And it’s like, no one else I know is providing odds on who might an episode an episode of Series 21 of Taskmaster UK, or even the entire series. And like, it’s possible that someone is doing this kind of commentary on the internet, but the thing is right, the internet is such a huge place, and I’m just sitting here in my tiny room, on my tiny little laptop, writing this commentary for no immediate financial benefit, so it’s like such a daunting place for a little old person like me. And so, I was thinking right, who cares if someone else is doing the same stuff as you, at least you tried, and maybe you’ll make a new friend along the way. And the thing is right, if there’s anything Taskmaster has taught me right, is that you should always give things a try. Who cares if you get 0 or 1 point, but you might even get 5 points, and you might even impress the Taskmaster right. Because oh my God, wouldn’t it be great if you could impress the Taskmaster, and oh my God, wouldn’t it be great if your blog got into the hands of Little Alex Horne. Because the thing is right, he’s really the main mastermind of Taskmaster, and not Greg, and I think you and Alex could be great friends in real life. Maybe you could be the official statistical commentator of Taskmaster UK from this, and may you can even join The Horne Section as their oboists! So yeah, I think you should do the task and see what happens after this. Right, I’ll shut up now.

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Figure 2: Alex’s excitement into our potential partnership. Time to start manifesting this situation…

Alex's excitement into our potential partnership. Time to start manifesting this situation...

Episode Recap

Episode 3 Performance Report Card

Episode 3 Performance Grade is based on comparing the current episode performance, to the prior 2 episode(s) performance and where it lies in the distribution.

Figure 3: Episode 3 Performance Report Cards

Series 21 Task Points Distribution.

Past covers tasks up to Episode 2, Current Ep covers tasks in Episode 3.

Figure 4: Episode 3 Task Distributions

In case you missed Episode 3 of Series 21 of UK Taskmaster, and also summarised from Figures 3 and 4:

  • Amy won her 2nd episode in the series.
    • She also had her best episode yet, scoring an impressive 22 points.
  • Kumail continues his improving streak, accumulating 19 points and coming in 2nd.
    • This was also Kumail’s best episode to date! He’s slowly muscling his way into being a serious contender for this series.
  • Armando and Joel both had good episodes, lying in the upper half of their respective interquartile ranges (the 2nd quantile).
    • Armando managed to take a slight lead, finishing in 3rd place with 13 points.
    • Joel earned 12 points, finishing in joint 4th place. Joint with whom?
  • Joanna shared 4th place with Joel.
    • Joanna continues her declining performance streak, accumulating her worst episode score to date (12 points).
    • The decline between episodes has also increased over time (3 and 7 points respectively) which shows quite the downfall of Joanna from her initial high.

It is my opinion that Joanna talked her way out of getting more points for her prize task contribution (“sherry in a fish shaped hip flask” task).

Joanna can certainly talk for Wales, and this was the type of behaviour I was expecting from Joanna going into this series; unnecessarily rambling but entertaining speeches. The recently released Series 21 Outtakes Part 1, shows that this bit went on for much longer (around the 9:20 mark). Her additional, often tangential and surplus details, introduces additional questions from other contestants which adds to the humour.

However, you can clearly see that Greg is initially bought into the prize when she first announces it, and then is exhausted by the end of the ramble.

Other observations from the task distributions table (Figure 4) :

  • Amy is so far the only contestant who has yet to be awarded 1 point for a task.
  • Joanna is the only contestant yet to receive 0 points for a task.
  • So far, no negative or additional bonus points (6 points or more), have been awarded to any contestant by the Taskmaster.
  • The colour based earworm that was first featured in the Series 21 trailer finally made sense; it was the descending order of the bricks in the top half of the tower.
    • Something tells me that this is not going to be the last time that we see, or hear, this colour based earworm, particularly since the lower half of the tower earworm hasn’t been tormented subjected onto us yet.

There was a moment in the “alphabet ascension” task, that I thought Amy might end her track record of performing well in tasks. It took her a while (a few words and steps), to grasp the task fully; but she did grasp it in the end.

Joanna on the other hand, humourously still doesn’t get the task, as revealed in the official Taskmaster podcast (around the 35:00 mark).

She was probably too distracted by her own reciting of the task in the echoey room at Hampton Court Palace1, but she still struggled to understand how the tasks works, even many months after filming the task itself and the studio section.

She struggles to understand how the discarded letters affect your choice in words later on, and why discarding vowels at the start of the staircase is not the best strategy. An A-level in English Literature, whilst a commendable qualification, doesn’t necessary mean one has an extensive vocabulary or is good at word play; an English Language or Linguistics qualification would have been more beneficial for this task.

Figure 5: Let’s celebrate Kumail’s continuing improvement in the series with a little dance.

Let's celebrate Kumail's continuing improvement in the series with a little dance.

Series Scoreboard Tracker

Figure 6: Series Scoreboard Tracker

Series Scoreboard Tracker

And things have turned interesting following Episode 3. From our Series Tracker in Figure 6, we can see that:

  • We have a new leader! Amy has overtaken Joanna and soared into 1st place with 58 points.
  • However, Amy can’t rest too much on her laurels, Joanna is behind her in 2nd place with 53 points.
    • Amy’s 5 points lead could easily be lost if she has a less than stellar episode, and Joanna returns to her former triumphs as exhibited in Episode 1 and 2.
  • There are only 5 points separating the men, with a major switch up in their series rankings.
    • Kumail has now jumped from 5th place to 3rd place, and with a current series score of 41 points.
    • Armando has slipped down from 3rd to 4th place, with 39 series points.
    • Joel rounds out the pack in 5th place with 36 series points; he was previously in 4th place.
    • However, none of the men should be too comfortable in their current series ranking positions. A 5 is a small enough range such that any one of them could easily take the lead in the next episode.
  • Series 21 is still a women’s race with the girls having a 12 point lead over the men.
    • This is quite the gap, but can be reduced if the men start performing more competently, and the women have some disastrous low performing episodes. However, this behaviour would need to happen over two episodes at a minimum.
    • If Kumail continues his current improvement streak, he could be the man to break the glass ceiling.

Figure 7: Further mentions of Greg’s Balls, but what about the Greg Egg?

Further mentions of Greg's Balls, but what about the Greg Egg?

Neighbourhood Watch

Figure 8: Scatter! A graphical visualisation of Contestants Episode Performance and their Volatility.

Scatter! A graphical visualisation of Contestants Episode Performance and their Volatility.

From Figure 8 which displays all contestants (past and present) with respect to their average episode score (x-axis), and stadard deviation (y-axis) to date:

  • The Series 21 cast all lie in the main cloud of observations and are well camouflaged. None of the contestants have extreme values of average episode score of deviation which atypical in the general history of taskmaster. -However, Joel is potentially on the brink of escaping from the cloud, as he as not as well camouflaged compared to other cast members.
  • Roisin Conaty of Series 1 join Series 14’s Dara, Series 10’s Katherine and Series 11’s Charlotte as being outliers in Taskmaster history based on episode score statistics alone.
    • Roisin earned 7 and 21 points in the 2 episodes considered (30% of a 6 episode series), which is quite the spread and variation.
  • The order of most volatile contestants (from episode scores): Joanna (most volatile), Kumail, Amy, Armando, Joel (least volatile).
    • It is interesting that a contestants variation in episode performance, has no correlation to their performance.
  • The order of average episode performance is: Amy (highest average), Joanna, Kumail, Armando, Joel (lowest average).
    • This is inline with the current series progress, and it should do, since they are all subjected to the same denominator value (number of episodes average is taken over), and the numerator (the series points), is the only part of the fraction that can differ between the contestants.

Figure 9: Won’t you be my Neighbour? Who are the neighbours of the cast of Series 21? Neighbours are based on a similarity measure based on average episode score and volatility.

Won't you be my Neighbour? Who are the neighbours of the cast of Series 21? Neighbours are based on a similarity measure based on average episode score and volatility.

We have some new neighbours and some departures in the neighbourhoods we have created around each contestant in the Series 21 cast. From Figure 9:

  • No Series 21 contestants are in the same household as prior contestants; they do not share the same value for average and standard deviation of episode scores.
    • This makes sense given that for most contestants, we are computing statistics with respect to 3 observations, and thus there is more opportunity for variation between contestants.
  • Amy’s neighbourhood consists of 3 series winners, and 2 3rd place contestants.
    • Her nearest neighbour is either Series 17’s John Robins or Series 7’s Kerry Godliman, both of whom were series winners.
    • She shares the same average episode score as Series 6’s Liza Tarbuck, but Amy is more volatile in her performance.
  • Armando’s neighbourhood is more varied with one 2nd placer, two 3rd placers, one 4th placer and one 5th placers.
    • His nearest neighbour is Series 6’s Tim Vine who finished 2nd place overall.
    • He shares the same average episode score as Series 19’s Jason Mantzoukas, but is less volatile in his performance. I don’t think this is a hard task to achieve though.
  • Joanna has seen the largest change in her neighbourhood due to her change in series ranking. She has one 1st placers, three 2nd placers, and one 3rd place neighbours.
    • Her nearest neighbour is Series 9’s Katy Wix, sharing the same average episode score, but exhibiting less variation.
  • Joel’s neighbourhood consists of one 2nd place neighbour, one 4th placer, and three 5th placers.
    • His nearest neighbour is Series 12’s Victoria Coren Mitchell. Joel can be seen as a less volatile version of Series 13’s Ardal O’Hanlon; they share the same average episode score but Joel exhibits this with lower variation.
  • Kumail’s neighbourhood consists of varied neighbours; there is a mixture of one 3rd placer, three 4th placers, and one 5th placer.
    • From a visual perspective, all of these neighbours seem to be equidistant from Kumail.
    • Series 14’s John Kearns does share the same average episode score as Kumail, although Kumail is less volatile than John (not the hardest feat).

What are the odds?

Within-Episode Ranking Distributions

Figure 10: Within Episode Ranking Distribution: Using Data up to Episode 2 (left) and up to Episode 3 (right).

Within Episode Ranking Distribution: Using Data up to Episode 2 (left) and up to Episode 3 (right).Within Episode Ranking Distribution: Using Data up to Episode 2 (left) and up to Episode 3 (right).

From Figure 10 which displays each contestant’s distribution for their placement within an episode, we see that:

  • Each contestants’ distribution has changed considerably compared to the previous week. This is of course a reflection of the outcome of Episode 3 which were particularly favourable to Amy and Kumail.
    • Amy and Joanna have changed the most, with flatter distributions now being present for both contestants, a reflection of the variation observed in their task performance so far which translates to uncertainty in how future episodes in the series may progress.
    • Kumail’s distribution has become centered and peaked around placing 3rd. There is a 7.11% chance that Kumail could win an episode (particularly if Kumail continues his improving streak), but there is also a 19.17% probability that he will come last (if Kumail’s improvement streak ends).
  • The most probable outcome with regards to within episode placement:
    • Amy: 1st with 53.65% chance (previously 2nd with 53.54%).
    • Armando: 5th with 29.79% probability (previously 3rd with 28.61%).
    • Joel: 5th with 35.17% chance (previously 4th with 32.92%).
    • Joanna: 1st with 42.12% probability (previously 1st with 82.89%).
    • Kumail: 3rd with 30.39% chance (previously 4th with 32.52%).
  • Whilst the most probable outcome has changed the most for Armando and Joel, we stress that there are other rankings with equally comparable probability (within 10% of most common).

Figure 11: Joanna’s prophetical handstand and her losing her episode and series leads.

Joanna's prophetical handstand and her losing her episode and series leads.

End-of-Series Ranking Distributions

Figure 12: Series Ranking Distribution: Using Data up to Episode 2 (left), and up to Episode 3 (right).

Series Ranking Distribution: Using Data up to Episode 2 (left), and up to Episode 3 (right).Series Ranking Distribution: Using Data up to Episode 2 (left), and up to Episode 3 (right).

From Figure 12 which shows the marginal predictive distributions for each contestant’s end of series placement:

  • As expected when there is a change in the series placements, the distributions have also changed for all contestants.
    • Amy’s peak has now shifted to coming 1st in the series, not the biggest surprise since she is now the series leader following Episode 3.
    • Armando’s distribution is now peaked and centred on coming 4th in the series, and is generally skewed to the lower rankings.
    • Joel’s distribution has become considerably more skewed towards the lower places, and is now noticeably peaked on placing 5th.
    • Joanna’s distribution has shifted its peak onto placing 2nd.
    • Kumail’s distribution, whilst skewed towards the lower places, is now peaked and centred around placing 3rd in the series.
  • The most probable series outcomes are:
    • Amy: 1st with 79.05%; previously 2nd with 99.90%.
    • Armando: 4th with 48.16%; previously 3rd with 58.36%.
    • Joel: 5th with 65.82%; previously 4th with 42.53%.
    • Joanna: 2nd with 75.50%; previously 1st with 99.95%.
    • Kumail: 3rd with 69.52%; previously 5th with 52.09%.

Figure 13: Joel’s reaction to now being most likely to end up 5th in the series.

Joel's reaction to now being most likely to end up 5th in the series.

Joint Cast Ranking Distributions

Figure 14: Joint Distribution of Cast Series Ranking: Using Data up to Episode 2 (left), and up to Episode 3 (right).

Joint Distribution of Cast Series Ranking: Using Data up to Episode 2 (left), and up to Episode 3 (right).Joint Distribution of Cast Series Ranking: Using Data up to Episode 2 (left), and up to Episode 3 (right).

Figure 14 shows the joint cast distribution of how they will all collectively fair by the end of the series.

  • The most probable cast outcome is [1st: Amy, 2nd: Joanna, 3rd: Kumail, 4th: Armando, 5th: Joel] with 33.43%.
    • The previous week’s most probable cast outcome was [1st: Joanna, 2nd: Amy, 3rd: Armando, 4th: Joel, 5th: Kumail], and now has 0.93% chance.
  • The current most probable cast outcome is exactly in line with the current series rankings at the end of Episode 3.
  • There are 2 other outcomes which have more than 10% probability occurring. These rankings feature variations at the bottom of the scoreboard, concerning how the men will place in 3rd, 4th and 5th place.

Figure 15: Amy’s not so subtle sign that we have an agreement to make these predictive distributions more favourable towards her coming out on top.

Amy's not so subtle sign that we have an agreement to make these predictive distributions more favourable towards her coming out on top.

What Have We Learnt Today?

Figure 16: We did it! We managed to get back on track with our commentary schedule!

We did it! We managed to get back on track with our commentary schedule!

We’ve learnt that:

  • It’s all change at The Median Duck; the distributions associated with how a contestant will place within an episode and at the end of the series has changed considerably for all contestants.
  • The most probable cast series ranking is [1st: Amy, 2nd: Joanna, 3rd: Kumail, 4th: Armando, 5th: Joel] with 33.43%, which is aligned with the series standings at the end of Episode 3.
  • Kumail continues his improving streak for a 2nd episode in a row.
  • Series 21 continues to be a women lead series, with the men currently lagging behind by a significant 12 points.
    • Our hopes lie with Kumail in narrowing this gap and breaking through the glass ceiling into the female league. Armando likely doesn’t care about his performance, and Joel is a cute, but incompetent fool at the moment. Kumail’s certainly got the muscles for it, and he played a superhero so can fly into this new realm.
  • We’ve also seen changes in the statistical neighbourhoods created around the Series 21 cast. The nearest neighbours, and how they eventually placed in the series, are in line with the marginal distributions created through simulation.

Figure 17: Time for the reward, especially as this post is going out before the broadcast of Episode 4 (YouTube broadcast that is). I’m sure there are lots of typos, errors and flaws however!

Time for the reward, especially as this post is going out before the broadcast of Episode 4 (YouTube broadcast that is). I'm sure there are lots of typos, errors and flaws however!

  1. Readers may want to know that I have been to this location, and that Hampton Court Palace is only a short bus ride from where I hail from in the UK.↩︎

Moderated Honks from The Flock