Maths Statistics on premiership football.

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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  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?

Fig 1 shows the average amount of points needed to finish in the top ten of the Premiership. Fig 2 shows an example of where I got the data from.

Fig 2 season 2001/02                                                  Pl       W       D       L        GF      GA    GD    PTS

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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 ...

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