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  • Level: GCSE
  • Subject: Maths
  • Word count: 2185

Maths Coursework:Used Cars

Extracts from this document...

Introduction

image00.png

Introduction:

In this coursework I will be investigating the most popular cars and factors that may have an effect on the price of the second hand cars. I will investigate the following factors:

  • Age of the car
  • Mileage
  • Engine size
  • New price

Aim:

My aim is to see if the above factors affect the second hand price and if they affect the popularity of the cars.

Hypothesis:

  • As the mileage increases the second hand price will decrease.
  • The bigger the engine size the higher the price of the second hand car.
  • The older the car the cheaper it will be.

I will be using scatter diagrams to show the correlation. I will also use box and whiskers to show the median and compare the ranges of second hand price. I expect all four hypotheses to be correct because logically if the mileage increases the price of the car should automatically decrease. It is the same for the rest of the hypotheses.

Audi

1

Bentley

1

BMW

2

Citroen

3

Daewoo

3

Fiat

10

Ford

16

Honda

1

Hyundai

2

Landrover

1

Lexus

1

Mazda

1

Mercedes

3

Nissan

2

Peugeot

6

Porsche

1

Renault

5

Rolls Royce

1

Rover

12

Seat

1

Suzuki

1

Toyota

1

Vauxhall

13

Volkswagen

7

Now I will do stratified sample to find the 4 most popular cars. I am using this method because it is fair and unbiased. image08.png

Using this pie chart I have decided that the four most popular cars are Vauxhall, fiat, ford and rover. This is because these cars are most common cars in the population and the other cars have single models so the results will not be reliable.

...read more.

Middle

11th

4th

7th

2nd

12th

7th

12th

Analysis

Now I will start testing my hypothesis that I predicted to see if they are true. I will be using scatter graphs to do this.

Age

image09.png

By looking at the gradient I am able to find out how much money a car loses per year on average. Also I can see a negative correlation.

This scatter graph shows me that £898.45 is lost every year. To see if this is true for all the other cars I will compare the age and second hand price for my chosen sample.

image19.pngimage03.png

image04.pngimage20.png

image21.png

image05.png

image22.png

This final graph has also got a negative correlation and loses £772.96 per year.

 All the samples have very steep lines compared to the population this is perhaps because there are fewer cars in the samples. All the samples have strong negative correlation. From the samples we can tell that as the car gets older the second hand price get lower, the population also shows this to some extent but has a few differences because there are some extremely expensive cars included. So I have proven my hypothesis right because the older the car is the cheaper it is.

Next I will move on to the mileage of the four car makes that I have chosen. Again I will use scatter graphs to prove my hypothesis right or wrong. First of all I will do the mileage for all the four car makes and then do mileage for the four cars separately. I am investigating whether the mileage has an effect on the second hand price.

Mileage

image23.png

...read more.

Conclusion

This project may not be reliable as I only investigated about 100 cars; in the UK there are millions of cars, and many more makes than that which are in my population. There were also a few cars which were in my population which were extremely expensive compared to other makes such as porches and Mercedes. If I had more time I could make the project stronger by investigating a separate population for expensive cars such as Bentley and Rolls Royce. This would give better results. I would also investigate more factors to see if they decrease or increase the second hand price, because may be the colour of the car of the number of seats does affect the second hand price. What I found difficult in this investigation was the scatter diagrams and the cumulative frequency. I overcame these difficulties by getting help from other people in my class who had understood it.

...read more.

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