Maths Statistics Investigation - To Find the Quality of Players Playing Rugby for Malvern College 1st XV.

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Maths Statistics Investigation

Maths Statistics Investigation

To Find the Quality of Players Playing Rugby for Malvern College 1st XV

Aim

I will attempt during the course of this investigation to rate all of the players who played for Malvern 1st XV in the first 6 matches of the 2000 season. In order to do this I must collect the data, analyse each piece of data collected, and then devise some sort of system using a formula that will rate an individual player over the course of the season. This formula must not only calculate the player's point score for each match according to a points system which I shall devise, but also average the points score over the season taking into account time missed through injury. I will also calculate the average standard of player using the mean, and also find the standard deviation to show the average deviation from the mean.

Plan

In order to devise my scoring system I must first decide on the categories that I shall use for my scoring system. I have decided that there will be two criteria for assessment of a player. These criteria will be:

*Time spent on the pitch + time out due to injury, divided by number of matches played to find the average time spent on the pitch.

*Coach's assessment percentage score for each match, taking into account position and what is required. I will add up the score for each match and divide by the number of matches to find the mean coaches score.

These criteria should be adequate to assess a player's skill in a set position. I will then use the following formula:

Mean number of minutes on the pitch per match* Mean coaches score

Using this formula, I hope to be able to find two things, firstly, by finding the number of 1st team players in each house and grouping their points scores and then adding up the points scores of each house, I should be able to predict a winner of the house competition. Secondly, I should be able to find the mean and standard deviation of each house, thereby showing the average ability and identifying the range of abilities within each house. Finally, by plotting a graph of Coach's percentage score (y axis) against Total time spent on pitch (x axis), I will be able to draw a scatter graph, and be able to rate any player in a similar way to that in which the Coach rates any individual by using the formula y = mx +c.

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Aim 1

After adding up the points scores of each of the houses, I have found that the house most likely to win the house competition is number one. However, the reason for the high total is the number of good players in the house. There are 8 players who have all played first team rugby during the first 6 games of the 2000 season compared to the next largest grouping of players in one house, number two, which only has 5. For this reason I predict that number one will win the house competition, not only because of the ...

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