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Outliers in the big 5 leagues

I am now analysing the league tables of Europe's top 5 leagues since 3 points for a win was used. After drawing box plots of some of them, I found these sides as outliers:
The following teams performed exceptionally well:
Barcelona (2018/19)
Barcelona (2017/18)
PSG (2017/18)
Bayern (2017/18)
Monaco (2016/17)
Bayern and RB Leipzig (2016/17)
PSG (2015/16)
Juventus (2013/14)
Bayern (2012/13)
Barcelona (2012/13)
Barcelona and Real Madrid (2011/12)
Inter (2006/07)
Liverpool (2019/20, as of now)
The following teams performed exceptionally badly:
Troyes (2015/16)
Any more?
(edited 4 years ago)
Reply 1
Here are some more outliers:
These performed exceptionally well:
Barcelona and Real Madrid (2010/11)
Barcelona and Real Madrid (2009/10)
Dortmund (2011/12)
VFB Stuttgart and Schalke 04 (2006/07)
Barcelona (2004/05)
Valencia (2003/04)
Bayern and Bayer Leverkusen (1999/00)
These performed exceptionally badly:
Murcia (2003/04)
MSV Duisburg (1999/00)
I found out that most of the outliers won the title.
(edited 4 years ago)
Reply 2
Out of curiosity may I ask why you’re analysing outliers in the top 5 leagues ?
What use is it to you ?
And how do you know a team is an outlier ? Can’t you just compare their points with their predicted points by a spread betting firm ?
And how are you accounting for luck in games if at all ?
And where is Leicester 2016 ?
Reply 3
Original post by moggis
Out of curiosity may I ask why you’re analysing outliers in the top 5 leagues ?
What use is it to you ?
And how do you know a team is an outlier ? Can’t you just compare their points with their predicted points by a spread betting firm ?
And how are you accounting for luck in games if at all ?
And where is Leicester 2016 ?

I am using the Maths S1 box plots, while 1.5*IQR above Q3 and 1.5*IQR below Q1 are outliers.
Reply 4
Nonce.
Man United (1999/00)
Manchester City (2017/18)
Derby County (2007/08)
Reply 6
And at the end of the 2019/20 season, Liverpool is an outlier!
This is how I proved that:
For a 20-team league, the IQR is the difference between the mean of 5th/6th and 15th/16th. This year, the 5th placed team (Leicester) got 62 points and Tottenham came 6th with 59, while Brighton in 15th and West Ham in 16th got 41 and 39 points respectively. So the IQR is 60.5-40=20.5.
An outlier is 1.5xIQR above Q3 /below Q1 so the upper limit is 60.5+20.5*1.5=91.25. Liverpool got 99 points, which is above the upper limit.
(edited 3 years ago)
Reply 7
I kept doing them with R and found that there was another one in the 2019/20 season but in Spain, which is Real Madrid. They performed exceptionally well.
It is so difficult to perform exceptionally badly in a league, but there were a lot of title winning sides which performed exceptionally well over the last few seasons. This shows that teams need to seriously stand out from the rest of the league to win it, which makes it tougher to do so in recent years.

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