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• Level: GCSE
• Subject: Maths
• Word count: 7116

# Investigation into the factors, which affect the value of automobiles.

Extracts from this document...

Introduction

Handling Data Coursework

## Lines of Enquiry

I have chosen to conduct my investigation into the factors, which affect the value of automobiles. There are many factors, which I could investigate, and I have chosen to choose my line of enquiry from the following list;

• The Mileage of the cars
• The age of the cars
• The size of the cars
• The make (manufacturer) of the cars
• The number of previous owners
• Whether or not it is taxed/MOT’d

Hypothesis

Does the size of a car affect its second hand value?

Do smaller cars hold their value better than larger cars?

I think that smaller cars depreciate at a far slower rate, and so are worth more of their original value than larger cars. To prove this, I will calculate the depreciation of small cars and large cars (averages) to test my theory. I will exclude anomalies such as Rolls Royce and Bentley as they are too expensive and their engines are so large that they will not fit a sensible scale.

I will group the cars by engine size, large (>1.4L) and small (≤1.4l) and calculate the average percentage of depreciation each year.

Also, I will end the group at 2.5l as after this, I believe that the information will become disproportionate and so anomalous due to the shire size and fact that such automobiles would usually fall into another category or rate of depreciation. I could later expand my investigation to include this.

## Collecting Data

Middle

Renault

Clio

7403

1495

9

1.2

98000

Renault

Clio

£9,475

£4,999

5

1.2

35092

Renault

Clio

£9,954

£2,995

6

1.2

61000

Renault

Clio

£9,220

£6,445

2

1.4

19000

Renault

Megane

£12,980

££9645

2

1.4

9000

Renault

Scenic

£12,520

£8,295

2

1.4

19000

Rover

114 Sli

8595

2495

6

1.4

33000

Rover

Metro

6645

895

7

1.1

43000

Rover

214i

9565

1700

8

1.4

55000

Rover

Metro

5495

1995

7

1.1

52000

Seat

Ibiza

5995

795

7

0.9

45000

Vauxhall

Tigra

13510

7499

4

1.4

27000

Vauxhall

Nova

5599

1000

10

1.4

75000

Vauxhall

Corsa

7840

4976

4

1.4

21000

Vauxhall

Corsa

7440

3495

6

1.2

55000

Vauxhall

Astra

9795

3191

6

1.4

43000

vauxhall

astra

£    11,475

£      6,495

3

1.4

6495

Volkswagen

Golf

400

15

1.4

Volkswagen

Golf

9524

3695

7

1.4

49000

Volkswagen

Polo

9960

7550

1

1.4

5000

Volkswagen

Polo

8710

4693

5

1.4

50000

Volkswagen

Polo

£8,240

£4,995

4

1

42000

Large Cars (Engines above 1.4 litres)

Make

Model

Price when

Price

Age

Engine

Mileage

New

Second Hand

Size

Alfa Romeo

166

£25 000

£7,995

2

2

41 000

Audi

80

17683

3995

7

1.9

103000

audi

se automatic

22000

14999

2

2

40000

Audi

TT

£24 050

£21 750

2

1.8

14 000

Bentley

TurboR

170841

37995

8

2

55000

BMW

525i SE

28210

5995

8

2.5

55000

BMW

316i

13650

6995

6

1.8

71000

bmw

330 diesel

32000

20000

3

3.3

22000

Citroen

AX Diesel

7680

1295

6

1.5

citroen

synergie

17200

2745

8

1.9

80000

citroen

c5

15430

6910

3

1.8

20000

Citroen

Picasso

£13,420

£6,500

3

1.6

31000

Daewoo

Lanos

11225

5999

3

1.6

42000

Daewoo

Nubira

13850

6895

4

2

14730

daewoo

Nubria Se

£ 10,995

£4,995

3

1.6

15720

daiwoo

nibira

11845

1550

5

1.6

60000

Fiat

Tempra

10423

1295

6

1.6

81000

Ford

Orion

16000

7999

1

1.8

7000

Ford

Fiesta

7875

1495

11

1.8

74000

Ford

Escort

11800

4700

5

1.8

34000

Ford

Fiesta

8680

3200

4

1.8

27000

Ford

Focus

14505

8800

2

1.6

7200

Ford

Escort

13183

3495

7

1.8

43000

Ford

Mondeo

17780

7995

4

2

30000

Ford

Escort

15405

3995

5

1.8

57000

honda

civic

18595

14999

3

2

33000

Hyundai

Sonnata

11598

1195

9

2

65000

land rover

range rover

38795

15000

4

4.6

54000

Landrover

Discovery

27855

13995

1

2.5

40500

Lexus

LS400

39728

6250

7

4

Mercedes

Elegance

26425

17500

2

2

22000

Mercedes

AvantGarde

17915

11750

2

1.6

17000

mercedes

m-class

55000

41995

2

5.5

12000

Mitsubishi

Carisma GDI

14875

5999

2

1.8

24000

Mitsubishi

Carisma

15800

5999

2

1.8

33000

Nissan

Almera

12590

4300

4

1.6

17000

Nissan

Primera

13355

2574

9

2

49000

Peugeot

505

12695

185

12

2

120000

Peugot

406LX

13975

5795

3

1.8

53000

Peugot

406

17490

7500

1

2

17500

Peugot

306

12350

3995

6

1.9

71000

Porche

Sport

32995

19495

6

3

46000

Renault

Megane

13610

4999

4

1.6

33000

Renault

Megane

13175

6999

3

1.6

41000

Renault

19

11695

2748

6

1.9

52000

Renault

megane

14595

4300

4

1.8

52000

Renault

Megane

£16,825

£5,000

5

2

63000

Renault

Scenic

£13,875

£4,995

5

1.6

46000

Renault

Megane

£16,495

£4,995

6

2

55000

Renault

Laguna

£13 600

£1,995

8

2

82 000

Rolls Royce

Silver Spirit

94651

14735

9

6.7

70000

Rover

623 Gsi

22980

6999

4

2.3

30000

Rover

820 SLi

21586

3795

6

2

51000

Rover

416i

13586

3795

6

1.6

49000

Rover

623GSi

24086

2975

5

2.3

96000

Rover

620Si

17795

3400

5

2

66000

Rover

Club

19530

14999

1

1.8

2000

Rover

623 GSi

24086

2975

6

2.3

96000

Rover

416i

14486

3685

6

1.6

64000

Suzuki

Vitara

10800

2995

8

1.6

50000

Toyota

Corrolla

13800

7495

2

2

25000

Toyota

Celicia

£19 300

£14 500

1

2

14 000

Vauxhall

Vectra

18580

7999

2

2.5

20000

Vauxhall

Astra

14325

6595

4

1.6

30000

Vauxhall

Vectra

18140

6499

4

2.5

49000

Vauxhall

Corsa

8900

4995

2

1.6

24000

Vauxhall

Astra

13740

2900

6

1.6

58000

Vauxhall

Calibra

18675

6995

6

2

63000

Vauxhall

Vectra

13435

4995

5

1.8

52000

vauxhall

vectra

14595

6500

3

2

41000

vauxhall

Zafira club

£ 14,125

£ 12,995

1

2

15720

vauxhall

Zafira Ls

£ 14,880

£  9,995

1

2

15283

vauxhall

astra club

£ 11,575

£ 5,485

3

1.6

45555

vauxhall

astra

£ 11,936

£  9,995

2

1.6

5277

vauxhall

astra

£ 14,575

£10,495

1

1.8

13714

Vauxhall

Vectra

£15,625

£4,000

6

2

73000

Vauxhall

Astra

£12,440

£3,999

5

1.6

38038

Vauxhall

Vectra

£14 600

£1 995

7

2

108 000

Vauxhall

Cavalier

10150

850

10

1.6

73000

Volkswagen

Golf

12999

3595

6

1.8

58000

Volkswagen

Golf GTi

16139

6995

5

2

35000

Volkswagen

Beetle

14950

13500

1

2

6500

Volkswagen

Golf

£13,735

£4,999

6

1.6

56000

Volkswagen

Golf

£13,745

£4,495

8

2

96000

Volkswagen

Sharan

£18 600

£4,750

7

2.8

Conclusion

Comparing Box Plots

I am comparing two box plots, in order to obtain a result prove up or disprove my original hypothesis that small cars hold their value better than large engined cars. The box plot I have drawn for the small engined cars has a lower average than that of all the engine sizes and, more importantly the large engined cars which partially proves my hypothesis, it also has a shorter inter-quartile range than the pair. The large engined cars results are all higher or greater than the average which also gives evidence to support my hypothesis.

Conclusion

These sets of data have shown that, while my initial hypothesis is correct, it is not a huge difference in the average depreciation per year of cars dependant uipon their various engine sizes. This means that it is pheasable for small and large engined cars depreciate at approximately the same rate, so something else must be affecting the outcome of my results. Other factors affecting the depreciation of automobiles could include: insurance costs, condition, colour, whether or not it has an MOT, economy, collectability and status.

In the future, I could expand this investigation to include any of the above factors and so determine what the sole governing factor affecting the depreciation of an automobile is, if it is not its age, however the small difference between the depreciation of large and smell engened cars that my investigation has shown may still be the greatest factor effecting the depreciation of cars, but this is still to be determined through further investigations in to the factors affecting the depreciation of cars..

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