• Join over 1.2 million students every month
  • Accelerate your learning by 29%
  • Unlimited access from just £6.99 per month

Gary’s Car Sales - Mathematics Coursework

Extracts from this document...

Introduction

Josh Anderson 11SPage 1

Gary’s Car Sales

Mathematics Coursework

For this experiment I was given a table of second hand cars for sale showing how the factors eg. age and mileage, effect the cost of a second hand car, compared with the same cars price when new. The table consists of 36 cars separated into 5 different manufacturers. For my investigation I will only use 3 of these manufacturers, Ford, Vauxhall, and Rover. I chose these 3 because they were the makes with the largest amount of information. Using the table I have been given I will try to find out which car is the best value for money. To do this I will have to draw two different types of graph, age against second hand price,

...read more.

Middle

8

Ford

9,140

108,000

1.6

19

2,950

8

Ford

17,750

96,000

2.9

20

3,250

7

Vauxhall

9,990

86,000

1.6

21

5,650

3

Vauxhall

11,150

34,000

1.6

22

4,600

2

Rover

7,300

17,000

1.1

23

5,400

1

Rover

7,300

11,000

1.1

24

4,800

1

Rover

7,300

26,000

1.1

25

2,700

5

Fiat

13,000

51,000

2.0

26

11,000

1

Peugeot

13,800

9,000

1.8

27

2,800

5

Fiat

6,500

43,000

1.0

28

8,000

4

Rover

21,000

142,000

2.3

29

6,495

2

Ford

8,800

23,000

1.3

30

4,050

4

Ford

8,400

48,000

1.3

31

6,300

2

Ford

10,300

26,000

1.3

32

4,100

4

Vauxhall

8,900

37,000

1.3

33

6,600

1

Vauxhall

8,500

9,000

1.3

34

7,800

1

Peugeot

10,500

13,000

1.4

35

8,700

3

Vauxhall

16,000

42,000

2.0

36

2,000

7

Peugeot

8,300

65,000

1.4

Page 2

Using the table I have drawn 4 graphs for age against second hand price. I have done 1 graph for each of my chosen manufacturers, Ford, Vauxhall, and Rover, and 1 with all three makes on it. I have used scatter graphs with lines of best fit, and have used the lines of best fit to work out the gradient using the formula x / y.

My first graph is for Ford. The line of best fit is a strong, negative correlation.

The price of a new Ford would be £7,900 and would be worth nothing when it is 10.9 years old

Using the line of best fit I have worked out the gradient:

1450 / 2 = 725

Therefore £725 is lost each year on a Ford car.

My second graph is for Vauxhall. The line of best fit is a strong, negative correlation. There is one odd point because that car is worth a lot more than most of the other Vauxhall’s when it is new.

...read more.

Conclusion

Because the Rover starts at £5,800 and the gradient is 400 the formula would be shown as:

Y = 5800 - (400 x 8)

Y = 5800 - 4000

Y = 2600

Page 5

Therefore the value of the car after 80,000 miles would be £2,600.

The table below shows the value of each make of car after various mileages using the formula.

Car Manufacturer

Value after:

Ford

Vauxhall

Rover

0 Miles (Cost when new)

£7,900

£8,200

£5,800

20,000 Miles

£6,600

£6,600

£5,000

40,000 Miles

£5,300

£5,000

£4,200

60,000 Miles

£4,000

£3,400

£3,400

80,000 Miles

£2,700

£1,800

£2,600

100,000 Miles

£1,400

£200

£1,800

Looking at this table Rover is the best value car as it loses the least amount of money after every 10,000 miles. After starting off the costliest the Vauxhall is only worth £200 after 100,000 miles, which makes it the car that loses the highest value by far. Whereas the Rover starts off the cheapest and finishes the highest priced of the three manufacturers after 100,000 miles.

In this experiment I discovered that Rover is the best value car out of the three that I chose to investigate. Vauxhall was the worst value car because it lost the most money on age and mileage. Ford was almost as bad value for money as the Vauxhall. My investigation could be improved by including more manufacturers and their cars. Also because the graphs are not 100% accurate. In real life as soon as you drive a new car off the forecourt it drops in value instantly. This means the graphs should have looked more like

...read more.

This student written piece of work is one of many that can be found in our GCSE Gary's (and other) Car Sales section.

Found what you're looking for?

  • Start learning 29% faster today
  • 150,000+ documents available
  • Just £6.99 a month

Not the one? Search for your essay title...
  • Join over 1.2 million students every month
  • Accelerate your learning by 29%
  • Unlimited access from just £6.99 per month

See related essaysSee related essays

Related GCSE Gary's (and other) Car Sales essays

  1. used car coursework

    This scatter diagram compares the new car price against the used car price of Ford cars. The trend line I added shows a slope going upwards from left to right. It shows a positive correlation between new car price and used car price.

  2. Used Cards - find which factors will influence the price of a second hand ...

    1190 12000 -4780.5 -22530 22853180.25 507600900 107704665 1155 10000 -4815.5 -24530 23189040.25 601720900 118124215 1810 6000 -4160.5 -28530 17309760.25 813960900 118699065 12825 68000 6854.5 33470 46984170.25 1120240900 229420115 3585 20000 -2385.5 -14530 5690610.25 211120900 34661315 1620 55000 -4350.5 20470 18926850.25 419020900 -89054735 1920 71000 -4050.5 36470 16406550.25 1330060900 -147721735 4915

  1. Handling data Used car prices

    This will enable me to construct 3 histograms, from which I can obtain 3 frequency polygons to compare. The following pages show the graphs and analysis of this hypothesis. The first graph shown here shows the value of depreciation for hatchbacks and the number of cars that are in each group.

  2. Car sales

    The median of a list of data is when the data is put in ascending or descending order, and the median is the middle number. The reason I only have 49 rather than 50 in my sample, Is because when I had an anomaly in my results I totally removed it.

  1. Legal and Ethical Analysis of Ford Pinto

    Victories in a variety of civil suits as well as charges leveled by consumer groups and the initial findings of the NHTSA gave the strong impression that the Pinto was a defective product. The presumed defect is related to the design of the fuel system and is inherently present in all Pintos with the design.

  2. Used second hand cars

    This valid evidence proves my prediction is not wrongly stated. I have plotted a Scatter graph for mileage against the second-hand price of the Ford cars. I have decided to do the graphs using Microsoft excel instead of a hand drawn one because this coursework mainly tests some one's ability to use ICT skills.

  1. Maths Coursework - Used Cars

    that the Fiat Bravo decreased most in price when compared to the Fiat Uno. However, if we calculate the percentage depreciation, the Fiat Bravo has depreciated by 53.8% whereas the Fiat Uno has depreciated by 78.2%. So in actual fact the Fiat Uno decreased most in price when compared with the Fiat Bravo.

  2. Factors affecting price of Used Car

    The results I got are recorded on a Tally and Frequency table as shown below. From the results on the table, I can clearly see the most popular car make which is Ford because it has a frequency of 16 out of 100 while the least popular car makes are

  • Over 160,000 pieces
    of student written work
  • Annotated by
    experienced teachers
  • Ideas and feedback to
    improve your own work