Football

UNDERSTANDING Statistics and Probability

Statics and Probability help us to analyse the present conditions and predict the future. Let’s apply this to the UEFA Champions League 2012-13 (yeah the one going on)and predict who’ll be the winner at the WEMBLEY STADIUM on 25th May 2013 according to the present conditions!! If you’re not a supporter of the winning team, don’t fret, probability never rule out the odds. You never know when that corner might score a winning goal!

Les grandes equips,  THE CHAMPIONS!!!!!!

UEFA CHAMPIONS LEAGUE

DATA (Includes top 16 in CHAMPIONS and ones in the EUROPA League)

2013-05-06_1909

2013-05-06_1910

2013-05-06_1914

gh

STATISTICS

Tallying, Collecting and Grouping Data (UEFA TOP 16)

Tallying and grouping data helps you to consolidate the given information. By putting the data together, it becomes easy to compare different items.

2013-05-06_1918

FREQUENCY DISTRIBUTION BAR GRAPH

2013-05-06_1919

Measures of Central Tendency

Why would one calculate quantities like mean, mode and median? They are various values when estimated, help us predict chances of an event happening. Statisticians use mean, mode or median values as standards to compare other values with to determine the probability of an event.

MEAN

Mean is the average score of the points of the teams. Well, let’s understand it in terms of soccer! It helps you estimate the average points scored by each team in the league. The teams having scores more than the average have a greater chance of winning. So next time you boast a team’s going to win don’t just back it up with your gut but the math too.

Mean = Sum of all points/No. of teams

= (12+10+12+8+14+11+12+10+13+13+13+13+10+12+10+15)/16

= 11.75

Teams Below Average Points (< 11.75)Teams Above Average Points(>11.75)
Arsenal FCParis Saint-Germain FC
AC MilanFC Porto
Real Madrid CFFC Shalke 04
Chelsea FCMalaga CF
Celtic FCBorussia Dortmund
Galatasaray ASJuventus
FC Bayern Munchen
Valencia CF
FC Barcelona
Manchester United

2013-05-06_1928

MODE

Mode of the data is the number which occurs most frequently in a data. In soccer language it is the points which most of teams manage to score. It might not necessarily help us predict the winner, but helps us compare different soccer leagues (La Liga, Budesliga, EUROPA etc.)

It can be easily observed from the frequency table which we drew earlier. However, there are cases where there might be a number of modes. Such as above where 10, 12 and 13 seem to be the scores occurring maximum number of times. In that case we draw another frequency table and introduce what we call a MODAL CLASS. A class is just a range over which the data values are distributed. Here, one can be drawn as follows.

Class Range (No. of Points)Frequency
8-91
10-115
11-128
13-145
15-161

Here we observe that most of the teams have scored points in the range of 11-12. Hence, 11-12 is the MODAL CLASS.

Statisticians using Mode as a standard for predicting chances will say that teams scoring points 11-12 have a higher chance of winning.

2013-05-06_1931New Predicted Possible Winners

  1. FC Shalke
  2. Malaga
  3. Real Madrid
  4. Juvento
  5. Manchester United

MEDIAN

Median gives us the middle value of the data. Take care that a median of a data should be estimated once the entire data has been put up in an order (and not the middle of randomly presented data).

If the number of observations (here the number of teams) is odd, the (n+1)/2th item is the median.

If the number of observation is even, (n/2th + (n/2+1)th)/2 item is the median.

Here, 16 teams have been chosen.

Team NumberPoints
18
210
310
410
510
611
712
812
912
1012
1113
1213
1313
1413
1514
1615

Since there are 16 teams, the median would be the average of the scores of team 8 and 9

Hence, the median = (12 + 12)/2 = 12

If the median is chosen as the standard for comparison, teams scoring more than 12 points have a greater chance of winning.

Representing Data

There are numerous ways to present your data. Bar graphs are one of the few ways. Let’s explore a new way to scoreboard.

Points ScoredNumber of Teams
81
104
111
124
134
141
151

To draw a pie chart, we need to represent each part of the data as a proportion of 360, because there are 360 degrees in a circle.

For example, if 4 of the 16 teams have scored 10 points, then we will represent this on the circle as a segment with an angle of: (4/16) x 360 = 90 degrees.

Points ScoredNo. of TeamsCalculationDegrees
Eight11/16 x 36022.5
Ten44/16 x 36090
Eleven11/16 x 36022.5
Twelve44/16 x 36090
Thirteen44/16 x 36090
Fourteen11/16 x 36022.5
Fifteen11/16 x 36022.5

2013-05-06_1941

Scatter plot is yet another means of depicting your data. It is quite similar to a bar graph but easier to read.

2013-05-06_1941_001

2013-05-06_1942

PROBABILITY

Probability tells us the chances or how likely a certain outcome is expected.

2013-05-06_1946

To see which teams have a greater chance of winning, we will look at the winners of all the UEFA Champions so far.The following probability has been calculated keeping assuming the fact that enough money is running the club and few player trades have occurred (small enough so as to not to affect the running of the club as a whole)

We are just looking at the data of the team shortlisted in the 2012-13 UEFA Champions League.

(Top 16)

Total UEFA Finals Played so far = 34

2013-05-06_1949

We observe that Real Madrid has a high probability of winning over the years. Now that we have the predictions in hand,

LET THE GAME BEGIN !!!!!!!!!!!!!!!!

2013-05-06_1952

For more information, contact Tavistock Tutors at [email protected]

Additional resources:

What’s the Secret to Maths
Creativity in Maths and Science
How to Achieve Highly in Maths

We Are Here To Help

We have hundreds of tutors available right now to help you improve and succeed. From a one hour session online to a full academic
year of face to face lessons, all it takes is five minutes for us to take down your information. We can then find you the most suitable tutors.

Eyup Ozcan
Eyup Ozcan
14:43 24 Feb 20
In the beginning of university terms I was struggling with a few assignments (statistics and research methods specifically). I had contacted many tutoring companies but non of them were able to meet my requirements i.e. some of them were just looking to get their money, some had conditions of how many session you could book and some didn't have the necessary qualifications that were suited for my needs.I had then found Tavistock tutors, they put me through with one of their best statistical tutors they had. I got an email straight away from her and we started working on the assignment and in a few sessions, the assignment was all up to date and I was ready to submit it with great confidence.Tavistock tutors is an amazing company that is worth the investment, they provide you with top class tutors, continuous support outside your lessons as well as being able to match you up with the correct tutor. whenever I need a tutor, all I do is message them on WhatsApp with my requirements and in a day or two, they've found me a perfect tutor.So far I've had great success with tutors in the fields of statistics and research methods as well as medicine related. Really happy with the services I've been given, don't be put of by the membership price, its worth it ;).read more
Muna Ali
Muna Ali
11:48 29 Jan 20
Great service, friendly staff and prompt customer service. Highly qualified selection of tutors and decent price for security and piece of mind.
natalie kanfer
natalie kanfer
15:32 21 Jan 20
By far the best tutoring agency I have ever worked with!
Elena Serena Piccardi
Elena Serena Piccardi
11:26 19 Oct 19
I have been working with Tavistock Tutors for 3 years.I tutor undergraduate and postgraduate students disciplines such as research methods/advanced research methods, SPSS, data analysis, psychology and I also offer support to clients interested in pursuing an academic career (cv and interview preparation).My experience with Tavistock Tutors has been exceptionally good since the very beginning. Each member of the team is striving to provide the best and most personalised service to both students and tutors. This approach helps students achieve their goals and be inspired by tutors, whilst supporting tutors' growth and development of teaching/tutoring skills.Each member of the Tavistock Tutors team is exceptionally passionate about the incredible work they do to help students succeed. Their organisation is fantastic across all the stages of the process: from informing tutors about potential tutoring requests, to communicating any additional personalised requests students might have, to dealing with requests from tutors themselves. Further, their communication is always so friendly and positive: I love interacting with each of them! 😊Overall, I believe this is the finest tutoring agency in London (and probably beyond London!). The tutors are exceptionally talented and a true inspiration for students! As one of the tutors, I cannot be happier I made the decision to join the team a few years ago! They truly made me a better person and supported my personal growth as an individual and as an educator.read more
Melodie Argi
Melodie Argi
08:14 18 Oct 19
Tavistock tutors is by far the best tutor agency is London. The tutor selection is of the highest quality. Handpicked from the British intellectual elite in all sorts of disciplines. The staff is wonderfully helpful as well as being extremely attentive to feedback.read more
Henry Smith
Henry Smith
22:27 17 Oct 19
I have been employed as a tutor with Tavistock Tutors for over 5 years. I tutor mathematics and also help people with job preparation for different career routes (cv, cover letter, interview preparation and online test prep). They are simply a wonderful team of individuals who work collectively and strive to deliver the best possible service to both clients and their tutors. They work doggedly to achieve results. They are particularly honest and their feedback to tutors on how to improve is tailored, concise and always highly constructive. Even after 5 yrs, they only put me forward as a tutor if they think I am the absolute best they can find otherwise they are honest with me and explain why I was not put forward. I think this transparency is a huge reason for their success and keeps the best tutors on their books for years. Their communication on what a client wants is also clinically precise and effective and the team go out of their way to provide potential interests/passions of the client to help the tutor prepare accordingly for the lessons and nurture that interaction. Simply the finest agency and I have tutored with some of the best. World-class tutors and utmost confidentiality with respect to their clientele. I cannot be happier to work for them, a dream job with a team whose capacity for kindness, empathy and boundless intellect never ceases to amaze me. Their work ethic inspires me to relentlessly push myself to be a better tutor with their encouragement and constructive feedback.read more
Albert Tam
Albert Tam
20:50 17 Oct 19
Best tutors in London! Great experience and amazing customer service. Highly recommend, my tutors were all fantastic and a huge help. Really recommend Tavistock Tutors as I never had to worry about not getting the highest quality tutors unlike other agencies and online tutors.read more
I ME
I ME
16:13 17 Oct 19
I’ve used Tavistock multiple times and they never disappoint!I used them for myself secondary school, whilst at university and even now whilst working. Their service is second to none as are their tutors.I highly recommend them to anyone looking to better themselves academically or personally.read more
STAVROS MOUSLOPOULOS
STAVROS MOUSLOPOULOS
13:22 06 Oct 19
Why most reviewers have one contribution, namely to the Tavistock Tutors?High standards ? Mate get a real job rather than living off other's qualifications.Reality Check(See photos attached - that is the owner “looking for me” 1.5 years after leaving London and while my name and photo was on first page of Tavistock Tutor website...)read more
Jonathan Aaron
Jonathan Aaron
16:39 01 Aug 19
Amazing experience, the tutor was reliable, knowledgeable and reasonably priced and the company was both professional and reliable. Definitely will be using them again!read more
David T
David T
16:34 01 Aug 19
I used Tavistock for some Corporate Finance and Financial Modelling training at my firm. They were extremely helpful and the trainer, Simon, was of top quality, experience and charged a fair price. Thank you!read more
Olivia Pluss
Olivia Pluss
11:05 13 Jun 19
I had a fantastic experience with my tutor Elena and Tavistock Tutors. They were very well organized and made the entire experience so seamless and easy for me. I passed my assignment with great marks and the experience was much less stressful than if I had tried to complete the assignment without Elena's help.read more
J Mathews
J Mathews
11:27 22 May 19
My child used Glenda for HL biology. Glenda was outstanding. I would not hesitate to recommend her. Extremely intelligent, always prepared, knows how to teach/very helpful, and also just a nice person. Also, I would use Tavistock again for sure because we had such success with Glenda.read more
Alan Radford
Alan Radford
09:34 09 May 19
Tavistock Tutors were a delight to deal with, and highly professional at all times. They provided my daughter with an excellent tutor at very short notice - after my having approached them on a Thursday urgently requesting a tutor for that weekend. Tavistock Tutors immediately gave the matter their attention; they appreciated the urgency and responded quickly and efficiently, and helped to set my daughter up with exactly the right sort of tutor. Fantastic!read more
Sophie Taieb
Sophie Taieb
12:55 29 Mar 19
Very happy with Tavistock tutors services. They provide a wide range of tutors, from all backgrounds and for all types of needs. My uni son needed some help in research and methodology. We found a perfectly suited tutor in less than 3 days. He is very knowledgeable, punctual, open minded and brings the support needed to my son. I would definitely recommend Tavistock tutorsread more
Next Reviews

How to analyse form in an English essay (13+/GCSE/A-level)

Stuck on analysing form in literature? Tavistock Tutors are here to help…
Whether one is helping a student analyse a play or article, a proper consideration of form is crucial. Yet 'form' is a...

6 Reasons To Hire A Tutor For Your Child

Most children will come across several challenges with learning during their school journey. The desire of most parents is to boost their kids enthusiasm for learning, build educational self-esteem an...

How To Utilize Your Summer Holidays?

Holidays are the best period for many students as they are free from their daily school activities. You’ll never get such blissfully long holidays when you’re working — so make the most of them....

Call Now Button