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• Level: GCSE
• Subject: Maths
• Word count: 2195

# What influences the price of a second hand car.

Extracts from this document...

Introduction

Maths coursework

Title:

Aim: What influences the price of a second hand car.

I will investigate the following statement:

Do Vauxhalls depreciate faster than Fords?

I will carry out the investigation by seeing which car (out of Vauxhalls and fords) depreciates the fastest, by comparing numerous factors that affect deprecation of cars.

I am to collate data of Vauxhall’s and Fords as evidence and statistics to show the rate of depreciation of a number of cars per yeah.

I intend to investigate the factors that affect the price of a second hand car. During this investigation I am to focus on the age and the percentage depreciation of the car, each year, as I believe age is the main factor to car depreciation.

For my investigation (of car depreciation) I am to get the data from a random database.  Therefore it will be a fair test and the data that I’m to use isn’t related to anything.

## Specifying the problem and plan

Investigation: I shall begin by looking at the data that was given to me. I then decided to place it in

Middle

10150

850

Escort

11800

4700

Astra

13740

2906

Fiesta

8680

3200

Corsa

7840

4976

Focus

14505

8000

Corsa

7440

3495

Puma

13230

8250

Calibra

18675

6995

Escort

13183

3495

Astra

9795

3191

Mondeo

17780

7995

Vectra

13435

4995

Fiesta

6590

1664

With the data firstly I decided to see which the most popular model of each car was, out of the random selected data.

I decided to use a pie chart, as the information would be clear and accurate.

The results are as follows

Out of the randomly selected data, Escorts were the mot popular models of Vauxhalls, and Fiestas were the most popular to Fords.

So why is this that both cars are the most popular?

During my investigation I will see what factors effect the popularity if theses cars, and if the rate of the car deprecation has anything to do with them being the most popular models of cars.

The first question which occurred to me was, is there any correlation between the difference between the price when new and the age. I expected there to be a positive correlation if there was one, showing that as the age went up, the drop in price from when the car is new and when it is re-sold increases. Below is a table of the Price differences and the age.

 Model Price Price Age Model Price Price Age (Vauxhalls) New Old (Fords) New Old Vectra 18580 7999 2 Orion 16000 7999 1 Astra 14325 6595 4 Escort 8785 1595 7

Conclusion

1">50.0

2

14505

8000

6505

22.4

44.8

3

18740

8420

10320

18.4

55.1

4

17570

7197.5

10372.5

14.8

59.0

5

11800

4700

7100

12.0

60.2

7

22284

6059.7

16224.7

10.4

72.8

8

7310

1050

6260

10.7

85.6

10

6590

1664

4926

7.5

74.7

11

7875

1495

6380

7.4

81.0

Looking at the results in the table, I saw that with the 2-year-old cars, the deprecations were in the area of 20% - 30%. The 2-year-old cars were in the 25% - 40%. This showed me that the rate of depreciation might not be constant. To test this, I found the mean depreciation per year for all the cars by dividing the mean depreciation with the mean age, and got 11.65%. I then found the individual depreciation per year for all the cars. Below is a table of the results.

 Make Model Pricenew Priceold Difference Age %decrease % decreasePer yr. Vauxhall Vectra 18580 7999 10581 2 56.9 58.5 Vauxhall Astra 14325 6595 7760 4 54 13.5 Vauxhall Tigra 13510 7499 6011 4 44.9 11.1 Vauxhall Vectra 18140 6499 11641 4 64.2 16 Vauxhall Cosra 8900 4995 3905 2 43.9 21.9 Vauxhall Nova 5599 1000 4599 10 82.1 8.2 Vauxhall Cavalier 10150 850 9300 10 91.6 9.1 Vauxhall Astra 13740 2906 10840 6 78.9 13.1 Vauxhall Corsa 7840 4976 2864 4 36.5 9.1 Vauxhall Corsa 7440 3495 3945 6 53 8.8 Vauxhall Calibra 18675 6995 11680 6 62.5 10.4 Vauxhall Astra 9795 3191 6604 6 67.4 11.2 Vauxhall Vectra 13435 4995 8440 5 62.8 12.6 Ford Orion 16000 7999 8001 1 50 50 Ford Escort 8785 1595 7190 7 81.8 11.7 Ford Fiesta 7310 1050 6260 8 85.6 10.7 Ford Fiesta 7875 1495 6380 11 81 7.4 Ford Escort 9105 2033 6805 7 74.7 10.7 Ford Escort 12125 4295 7830 3 64.4 21.5 Ford Escort 11800 4700 7100 5 60.2 12 Ford Fiesta 8680 3200 5480 4 63.1 15.8 Ford Focus 14505 8000 5705 2 39.3 19.7 Ford Puma 13230 8250 4980 3 37.6 12.5 Ford Escort 13183 3495 9688 7 73.5 10.5 Ford Mondeo 17780 7995 9785 4 55 7.9 Ford Fiesta 6590 1664 4926 10 74.8 7.5

## Interpret and discuss results

Nadine Okyere        June 2002        Mr Ashfall

Data c/w

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