# Mathematics course work

Extracts from this document...

Introduction

Mathematics coursework on used cars prices

Mathematics course work

Used car prices

Introduction

In this investigation I will see what affects the prices of a second hand car. I will analyse each category with tally and bar charts. For this investigation I will pick out 30 cars from the Internet. From these 30 cars I will see which cars affect the price of the second hand car.

These are the cars I chose from the Internet.

10 BMW cars. 10 Audi cars 10 Mercedes cars

BMW 316i Audi A3 Mercedes CLK

BMW 318i Audi S3 Mercedes SLK

BMW 320i Audi A4 Mercedes E-class

BMW 325i Audi S4 Mercedes S-class

BMW 330 Audi RS4 Mercedes C-class

BMW 520i Audi RS6 Mercedes SL 55

BMW 730i Audi S8 Mercedes CL 55

BMW M3 Audi TT Mercedes A-class

BMW M5 Audi S2 Mercedes SL 500

BMW 850i Audi RS2 Mercedes CL 500

My task was to find out what influences the price of a second hand car.

To compare any data from these cars, I must at least pick out 5 models of cars then analyse it. The data that I will use is from the Internet. I will take each category and investigate the reasons that affect the price of a second hand car when it was new.

The first category I will look at is for the Age.

My hypothesis for this category is that the lower the age a car has then the higher price the car will be.

Here is a table that shows 5 BMW cars.

Make | Model | Age | Price when new | Second hand price |

BMW | 316i | 11 | £15,995 | £3,995 |

BMW | 318i | 10 | £16,000 | £4,000 |

BMW | 320i | 7 | £15,000 | £5,500 |

BMW | 325i | 4 | £19,995 | £8,000 |

BMW | 330i | 2 | £18,000 | £10,995 |

With the information in the table above, I will draw a stem and leaf diagram so that it is easier for me to find out the mean, mode and median.

I have listed the ages of the cars in order of size.

2, 4, 7, 9, 10,

Leaf | Stem | Frequency |

1 | 0,1 | 2 |

0 | 7,4,2 | 3 |

Key: 1 0 this means the age of 10

Middle

To do this I have to divide the interquartile range by 2.

5 / 2 = 2.5 the semi-interquartile ranges of the 5 cars is 2.5.

The Audi car with the highest age is the Audi A3 with the age of 12. The Audi with the lowest age is the Audi RS6 with the age of 2. From these 5 cars the car that has the lower age will cost more then the car with the highest age, my hypothesis was right. The car price when it was new doesn’t only change because of its age but other things that come fixed with the car like the fuel, engine size, and seats.

Sometimes the colour, style and the gears can make changes to the price as well. The Audi RS6 is a much higher class then the Audi A3. This could also change the car price.

Now I will show a line graph to show the trends of the 5 cars.

By looking at the line graph I can say that again it has a weak negative correlation because when the age is low (2) the price is high (£20000) and when the age is high (12) the price is low (£3500) so the conclusion for this is that the lower the age the higher the price of the car and the higher the age the lower the price will be.

The graph matches my hypothesis, which I was right.

To find out how much price is reduced every year, I will have to find out the differences of the car prices. To do these I will subtract the new price with the second hand price.

I will use the last Audi car in the table, which is the RS6.

60000 – 20000 = 40000

The difference of the Audi RS6 is £40000.

Conclusion

I have proved above by showing tables and graphs of 5 BMW and Audi cars that the higher the mileage a car has then the less the car will cost and the lower the mileage the more the car will cost. But in some cases the mileage will be higher then another car like the Audi RS6 has a higher mileage then the Audi S3 but the Audi RS6 still costs more then the S3.

Overall I think that the higher the mileage the lower the car price and the lower the mileage the higher the car price will be.

## Evaluation

In this coursework my task was to see what influences the price of a new car to the second hand car price. I chose three categories and investigated them to see what happens. In the first category I looked at the ages of different cars an saw that the higher the age of a car, then the less the car price would be later on I found out that I can use the differences of a car and see how much is reduced every year.

The next category I investigated was the colours of the car. I investigated if the colours of the car decreased the car price, which in some cases did, but in other cases it didn’t. For this category my hypothesis was ‘the rare coloured cars have a higher price as the un-rare coloured cars will cost less’. By showing tables and graphs my hypothesis was correct.

The last category I investigated was the car mileages of 5 BMW and Audi cars. I found out that if a car has a high mileage then the car will be cheaper then a car that has a low mileage but in some cases it didn’t as I have shown in the Audi car mileages.

Overall I think that the investigation was successful and also interesting on finding what type of categories that influences the car prices.

Page

This student written piece of work is one of many that can be found in our GCSE Gary's (and other) Car Sales section.

## Found what you're looking for?

- Start learning 29% faster today
- 150,000+ documents available
- Just £6.99 a month