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GCSE Math's Statistics Coursework Introduction: I have been given a database which contains information about one hundred different used cars

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Introduction

Bilal Sheikh        -  -        10M

GCSE Math’s Statistics Coursework

Introduction:

 I have been given a database which contains information about one hundred different used cars. We are investigating what is the most influential factor when buying a second hand car. The factors which I will be using are the age and mileage of the cars to see how they affect the price.

Hypothesis:

Cars which are older and have got more mileage are generally cheaper, but if I have a vintage (antique) car it will change my graph so it would skew my data as an outlier. Also some cars will depreciate quicker than others in their first year.

Plan:

Using the data which has been given to me I will compare age to mileage on a scatter graph with price. If I did the investigation by hand I would have chosen a sample of 100 cars of about 20 being picked at random using every 5th car as a sample and picking where to start counting at random by putting the numbers lets say the numbers 1-5 in a hat and pulling one out at random, But however I have been given the data on excel. By doing the charts on excel I will be able to plot all the data on the scatter graph and then draw a line of best fit (trendline)

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Middle

This graph shows that I have compared comparing price and mileage.  I am not too happy with this graph due to the trendline appears to have been drawn wrong by the outliers Bentley Rolls Royce. I will now remove the outliers because they are skewing my data to make the trendline inaccurate, I will also add the formula of the graph on to the trendline.

image03.png

I have now changed my graph by removing the 5 outliers that were skewing my data, Now that I have removed the outliers from the original graph and I have also added the equation, which shows me that for every mile a car has done it has lost almost 5.01pence. This is the percentage of depreciation of the cars.

Now that I have done the price against age and mileage for all the cars, I will now compare those using specific makes of cars such as Ford and Vauxhall. Firstly I will do Fords, as they are the most numerous of all the cars in the table. Then I will compare my results.

image04.png

I have now made a Ford graph for price against mileage, and the equation on the trendline shows me that for every mile a Ford car has done it will lose on average more or less 9 pence which I have rounded. I will now use the Ford data to compare price to age.

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Conclusion

image09.png

This graph which I have made shows me that there is again a very strong positive correlation as the points are very close together, also the cars will depreciate 0.0006% on average for every mile it has done. I have found this out by looking at my graph that I have made.

Conclusion

From all the information that I have made from my coursework I have come to the conclusion that there are many things that affect the price of a second hand car these include:

  • Style
  • Central locking
  • Seats
  • Gearbox
  • Air conditioning
  • Airbags
  • MPG
  • Mileage
  • Service
  • Owners
  • Length of MOT
  • Tax
  • Insurance group
  • Doors
  • Age
  • Colour
  • Engine
  • Fuel

And many more.  I have got all these suggestions from my excel table which my coursework has been based upon. There are also some exceptions which influences the price of the car; the cars that are the exception (outliers) gains money due to that these are vintage cars e.g. Bentley, Mercedes and many others. This will nearly always be the case because there will always be cars that gain with mileage and those that will lose money with mileage. The data which I have collected has proven quite true in my hypothesis and my plan.

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