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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

...read more.

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.

image01.png

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

...read more.

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

image04.png

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

image05.png

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.

Mohammad Suhayb Riaz

...read more.

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