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• Level: GCSE
• Subject: Maths
• Word count: 2359

Investigate how the prices of used cars vary from new cars.

Extracts from this document...

Introduction

USED CARS PRICES

PLAN

I am going to investigate how the prices of used cars vary from new cars. I am going to sample all the cars that are two years of age and under and compare it with cars that are in the range of five to eight years old. I am going to compare two different cars makes with each other and I am also going to sample out all of the cars with the mileage of 70,000 and less and compare it the price of the cars with the mileage of more than 70,000.

I will plot the prices of cars on different graphs, draw a line of best fit and compare it with the others. So I will have three different types of graphs that are going to be age against price, make against the price and mileage against the price.

I collected the following data for my coursework:

No.

Present Price

Price when New

Age

Make

Mileage

Engine Size

1

£6,970

£11,600

3

Ford

24,000

1.6

2

£3,350

£7,100

7

Peugeot

85,000

1.1

3

£3,995

£13,800

6

Ford

52,000

2.0

4

£5,300

£16,300

6

Vauxhall

70,000

2.0

5

£6,500

£8,700

3

Fiat

24,000

1.2

6

£1,500

£8,700

9

Vauxhall

82,000

1.6

7

£995

£8,500

9

Ford

102,000

1.8

8

£3,000

£10,400

7

Vauxhall

63,000

1.7

9

£7,495

£9,770

1

Vauxhall

8,000

1.4

10

£850

£7,540

10

Ford

124,000

1.6

11

£5,595

£11,000

4

Ford

41,000

1.6

12

£4,995

£9,880

3

Ford

34,000

1.4

13

£5,595

£14,000

4

Ford

55,000

1.6

14

£4,995

£11,500

4

Rover

40,000

1.4

15

£2,600

£12,000

7

Rover

82,000

1.6

16

£1,000

£6,200

10

Peugeot

119,000

1.1

17

£750

£5,100

11

Peugeot

96,000

1.0

18

£1,350

£9,140

8

Ford

108,000

1.6

19

£2,950

£17,750

8

Ford

96,000

2.9

20

£3,250

£9,990

7

Vauxhall

86,000

1.6

21

£5,650

£11,150

3

Vauxhall

34,000

1.6

22

£4,600

£7,300

2

Rover

17,000

1.1

23

£5,400

£7,300

1

Rover

11,000

1.1

24

£4,800

£7,300

1

Rover

26,000

1.1

25

£2,700

£13,000

5

Fiat

51,000

2.0

26

£11,000

£13,800

1

Peugeot

9,000

1.8

27

£2,800

£6,500

5

Fiat

43,000

1.0

28

£8,000

£21,000

4

Rover

142,000

2.3

29

£6,495

£8,800

2

Ford

23,000

1.3

30

£4,050

£8,400

4

Ford

48,000

1.3

31

£6,300

£10,300

2

Ford

26,000

1.3

32

£4,100

£8,900

4

Vauxhall

37,000

1.3

33

£6,600

£8,500

1

Vauxhall

9,000

1.3

34

£7,800

£10,500

1

Peugeot

13,000

1.4

35

£8,700

£16,000

3

Vauxhall

42,000

2.0

36

£2,000

£8,300

7

Peugeot

65,000

1.4

Now I am going to sample out the cars that are 2 or less years of age, and compare them to the cars that are in the range of five to eight years old.

Below are the cars that are below the age of two:

 No. Price Price when New Age Make Mileage Engine Size 1 £7,495 £9,770 1 Vauxhall 8,000 1.4 2 £4,600 £7,300 2 Rover 17,000 1.1 3 £5,400 £7,300 1 Rover 11,000 1.1 4 £4,800 £7,300 1 Rover 26,000 1.1 5 £11,000 £13,800 1 Peugeot 9,000 1.8 6 £6,495 £8,800 2 Ford 23,000 1.3 7 £6,300 £10,300 2 Ford 26,000 1.3 8 £6,600 £8,500 1 Vauxhall 9,000 1.3 9 £7,800 £10,500 1 Peugeot 13,000 1.4

Middle

Rover

82,000

1.6

6

£1,350

£9,140

8

Ford

108,000

1.6

7

£2,950

£17,750

8

Ford

96,000

2.9

8

£3,250

£9,990

7

Vauxhall

86,000

1.6

9

£2,700

£13,000

5

Fiat

51,000

2

10

£2,800

£6,500

5

Fiat

43,000

1

11

£2,000

£8,300

7

Peugeot

65,000

1.4

Below is the graph showing the price against the age.

This graph also shows a negative coloration and it also shows that as the car gets older the price goes down.

The trend line in this graph is steeper than the one on the top; this is because the cars’ price doesn’t drop so much while it is a couple of years old, where as after a few years the price of the cars goes down quicker.

Now I am going to sample out cars according to their make and then chose two of the most common ones, then I am going to compare the prices of the two car makes.

 No. Price Price when New Age Make Mileage Engine Size 1 £6,500 £8,700 3 Fiat 24,000 1.2 2 £2,700 £13,000 5 Fiat 51,000 2 3 £2,800 £6,500 5 Fiat 43,000 1 4 £6,970 £11,600 3 Ford 24,000 1.6 5 £3,995 £13,800 6 Ford 52,000 2 6 £995 £8,500 9 Ford 102,000 1.8 7 £850 £7,540 10 Ford 124,000 1.6 8 £5,595 £11,000 4 Ford 41,000 1.6 9 £4,995 £9,880 3 Ford 34,000 1.4 10 £5,595 £14,000 4 Ford 55,000 1.6 11 £1,350 £9,140 8 Ford 108,000 1.6 12 £2,950 £17,750 8 Ford 96,000 2.9 13 £6,495 £8,800 2 Ford 23,000 1.3 14 £4,050 £8,400 4 Ford 48,000 1.3 15 £6,300 £10,300 2 Ford 26,000 1.3 16 £3,350 £7,100 7 Peugeot 85,000 1.1 17 £1,000 £6,200 10 Peugeot 119,000 1.1 18 £750 £5,100 11 Peugeot 96,000 1 19 £11,000 £13,800 1 Peugeot 9,000 1.8 20 £7,800 £10,500 1 Peugeot 13,000 1.4 21 £2,000 £8,300 7 Peugeot 65,000 1.4 22 £4,995 £11,500 4 Rover 40,000 1.4 23 £2,600 £12,000 7 Rover 82,000 1.6 24 £4,600 £7,300 2 Rover 17,000 1.1 25 £5,400 £7,300 1 Rover 11,000 1.1 26 £4,800 £7,300 1 Rover 26,000 1.1 27 £8,000 £21,000 4 Rover 142,000 2.3 28 £5,300 £16,300 6 Vauxhall 70,000 2 29 £1,500 £8,700 9 Vauxhall 82,000 1.6 30 £3,000 £10,400 7 Vauxhall 63,000 1.7 31 £7,495 £9,770 1 Vauxhall 8,000 1.4 32 £3,250 £9,990 7 Vauxhall 86,000 1.6 33 £5,650 £11,150 3 Vauxhall 34,000 1.6 34 £4,100 £8,900 4 Vauxhall 37,000 1.3 35 £6,600 £8,500 1 Vauxhall 9,000 1.3 36 £8,700 £16,000 3 Vauxhall 42,000 2

Conclusion

Below are the cars that have the mileage of 0 – 69,999 miles.

 No. Price Price when New Age Make Mileage Engine Size 1 £7,495 £9,770 1 Vauxhall 8,000 1.4 2 £11,000 £13,800 1 Peugeot 9,000 1.8 3 £6,600 £8,500 1 Vauxhall 9,000 1.3 4 £5,400 £7,300 1 Rover 11,000 1.1 5 £7,800 £10,500 1 Peugeot 13,000 1.4 6 £4,600 £7,300 2 Rover 17,000 1.1 7 £6,495 £8,800 2 Ford 23,000 1.3 8 £6,970 £11,600 3 Ford 24,000 1.6 9 £6,500 £8,700 3 Fiat 24,000 1.2 10 £4,800 £7,300 1 Rover 26,000 1.1 11 £6,300 £10,300 2 Ford 26,000 1.3 12 £4,995 £9,880 3 Ford 34,000 1.4 13 £5,650 £11,150 3 Vauxhall 34,000 1.6 14 £4,100 £8,900 4 Vauxhall 37,000 1.3 15 £4,995 £11,500 4 Rover 40,000 1.4 16 £5,595 £11,000 4 Ford 41,000 1.6 17 £8,700 £16,000 3 Vauxhall 42,000 2 18 £2,800 £6,500 5 Fiat 43,000 1 19 £4,050 £8,400 4 Ford 48,000 1.3 20 £2,700 £13,000 5 Fiat 51,000 2 21 £3,995 £13,800 6 Ford 52,000 2 22 £5,595 £14,000 4 Ford 55,000 1.6 23 £3,000 £10,400 7 Vauxhall 63,000 1.7 24 £2,000 £8,300 7 Peugeot 65,000 1.4

Here as you can see that this graph also has got a negative coloration, the graph shows that as the mileage goes up the price goes down. There are two anomalous results; this can be because of the model of the car. According to the graph the cars with the least mileage have got the highest price.

Below are the cars that have the mileage of 70,000+

 No. Price Price when New Age Make Mileage Engine Size 1 £5,300 £16,300 6 Vauxhall 70,000 2 2 £1,500 £8,700 9 Vauxhall 82,000 1.6 3 £2,600 £12,000 7 Rover 82,000 1.6 4 £3,350 £7,100 7 Peugeot 85,000 1.1 5 £3,250 £9,990 7 Vauxhall 86,000 1.6 6 £750 £5,100 11 Peugeot 96,000 1 7 £2,950 £17,750 8 Ford 96,000 2.9 8 £995 £8,500 9 Ford 102,000 1.8 9 £1,350 £9,140 8 Ford 108,000 1.6 10 £1,000 £6,200 10 Peugeot 119,000 1.1 11 £850 £7,540 10 Ford 124,000 1.6 12 £8,000 £21,000 4 Rover 142,000 2.3

This graph is not as I had predicted it to be, it has got positive coloration where as I thought that it is going to have negative coloration.

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