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Data Handeling

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Introduction

                George Plant

Maths Coursework

In this piece of coursework I am going to explore the statement “the older a car is the cheaper it will be”. To do this I am going to be inspecting two hypotheses: “the older a car the more miles it would have done” and “the more miles a car has done the cheaper it will be”

        To do this I have gathered the needed information on 40 cars, this would be the price when new, the price when used, the mileage and the age. The information was got from a used car sales place and to narrow the amount of cars information I have I will pick randomly from the list of around 200, I will randomly choose the information using the random number key on my calculator, I will the pick out the car number accordingly. Bellow is the information I will be working from:

Car No.

Make

...read more.

Middle

13104

10

785

90000

110

Volvo

S60

19977

5

8230

20000

112

Vauxhall

Tigra

11675

10

2025

90000

119

Vauxhall

Astra

11885

10

835

10000

126

Peugeot

806

23070

10

4475

10000

128

Subaru

Impreza

13950

5

6130

15000

133

Porsche

Boxster

34125

9

15755

12000

136

Peugeot

205

8120

10

715

90000

141

BMW

5-Series 2003

28267

5

13570

20000

142

Vauxhall

Zafira

14992

5

5565

10000

145

Nissan

200 SX

22000

6

5335

60000

147

Renault

Kangoo

8985

3

5105

12000

155

Ford

Escort

13820

9

1365

60000

156

Land Rover

Range Rover

45025

10

7735

12000

174

Citroen

Xsara Picasso

13610

2

7345

12000

179

Ford

Galaxy

18995

5

9715

10000

181

Ford

Mondeo

18045

2

11930

10000

192

Ford

Fiesta

6565

10

485

10000

202

Mercedes

A-Class

16495

5

7235

90000

Using the information above I am going to draw up some graphs that will shows the correlation between the 3 hypotheses, firstly being how the age affects the price:

image00.png

The problem with the graph above is that the line of correlation is not as accurate and true as it could be, this is due to the outliers in the information that I used (circled in red).

        To solve this problem I am going to draw the graph again but take out the outliers, this would give a better average and show more accurately the average price that the cars drop per year.

image01.png

The above graph shows the information in the first graph but without the outliers, the benefit in this is the change you get in the line of best fit and the equation that comes with it:  y= -699.92x + 9070.7 shows us various information, the -669.92 shows us the gradient of the line, this tells that for every year a car gets older it will on average depreciate £699.92. The +9070.

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Conclusion

(NewPrice – UsedPrice)

                                      Mileage                 = Depreciation per mile

I used this formula to work out how much money each of the cars I have been sampling drops in price per mile travelled. In my sample of cars on average a car would lose 65pence per mile travelled, that’s £650 every thousand miles. Below is an example (given on Ford Mondeo) for the formula above to show the depreciation per mile:

(18,045 – 11930)

                  10,000                                    = 0.61 (£)

If I wanted to do a graph to show how the value drops with mileage I would need more data. For example, I would need the price s of a number of cars of the same type and age but with different mileages.

        I hope that my investigation has proved the 3 hypotheses correct.in my sample of 40 cars it s now clear to see that “ the older the car is the cheaper it will be” and that the important factors behind this are the amount of mile the car has travelled, and also the age. From the sample of cars that I have used  we see that the average car drops £699.92 per year and would travel 1445.9 per year, and that there would be a loos of 61pence (£0.61) per mile travelled.

        GCSE Mathematics Data Handling Investigation

...read more.

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