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Maths Statistics on premiership football.

Extracts from this document...

Introduction

Maths coursework

As part of my G.C.S.E mathematics coursework, I had to do a piece of work on statistics. My topic will be on football in relation to this area of data collection. I want to look at the following:

Proving that Arsenal F.C are better than Man Utd F.C

How many points are needed to finish in the top ten

Predict the league table for season 2003/04

Past meetings between Man U and Arsenal

The importance of the top scorers from Man Utd and Arsenal

I will be getting my information from www.soccer-stats.com and the o.p.t.a official 2001/02 league stats. I will be using data from 1995/96 seasons to 2002/03 seasons. After this I will predict the top ten for 2004/05 season. To predict the league table I will put all the data from the teams that finished in the top ten from season 1995/96 to 2002/03 and find out their mean points over the seven year period. This will give me the data to predict the top ten.

I will be expanding my work by comparing the points and seeing if Arsenal have closed the point race on Manchester United.

How many points are needed to finish in the top ten of the Premiership?

...read more.

Middle

55

51

4

46

As the graph shows fig 3 Man Utd have a better mean score through out 7 seasons. Manchester United mean points score was 80.14 closely followed by Arsenal who finished 2nd with a mean score of 73.85, a difference of 6.29 pts behind.

As you can see in Fig 1 some teams don’t have any points next to them. This is simply because they didn’t finish in the top ten. This is why their mean score will either be over or under estimated in the table, than teams that have finished in the top ten seven seasons consecutively. For example Aston Villa had mean scores of 56.35, the score is obviously greater than Ipswich Town, who only finished once in the top ten, with a mean score of 66. This tells me that the mean score may not benefit me if teams have not finished in the top ten over seven seasons consecutively.

Past meetings/ head to head

Arsenal and Man Utd are probably the top two teams in the F.A Barclaycard Premiership. In Fig 4 I'm now going to show you the past scores between Arsenal and Manchester United starting from 1992. I will now put this data in a table to show, wins, draws, losses, goals for, goals against, goal difference and points.  

Table from fig 4

Played

Win

Drawn

Losses

Goals for

Goals against

Goal difference

Points

Highbury

Arsenal

11

5

3

3

17

12

5

18

Man Utd

11

3

3

5

12

17

-5

12

Old Trafford

Man Utd

12

6

4

2

16

5

11

22

Arsenal

12

2

4

6

5

16

-11

10

Total

Man Utd

23

9

7

7

28

22

6

34

Arsenal

23

7

7

9

22

28

-6

28

...read more.

Conclusion

Conclusion

In this piece of coursework I was going to find out who were better Arsenal F.C  or Manchester United. I started by doing the mean points they have scored throughout the seven seasons. I found out that Man United have obtained a better mean score than Arsenal. I then moved onto past meetings between the two teams. Man United also beat Arsenal by six points. I then moved onto the importance of top strikers to their teams. Man U had the more important striker, but I thought this could be a negative thing because if the player got injured the team may not score that many goals resulting in lost points.

I think that I have disproved my hypotheses because Man Utd have beat Arsenal more times than Arsenal have beat Man U, and Manchester Utd have a better mean score throughout the years.

Extension work

Fig 5 show that Arsenal F.C are catching up on Man Utd
Improvements
The way I think I could have improved my coursework would be to compare it with someone else coursework to get a clearer answer. I also think I could have done value of players and crowd sizes.

...read more.

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