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• Level: GCSE
• Subject: Maths
• Word count: 2408

# In the maths coursework we have been set, we have been asked to use information provided to investigate what influence the price of a second hand car.

Extracts from this document...

Introduction

Maths coursework

In the maths coursework we have been set, we have been asked to use information provided to investigate what influence the price of a second hand car. The information contains different makes, models, and price when new, price when old, and engine size, fuel, MPG, mileage, service and owners on 100 cars.

During the coursework I will be investigating: -

Introduction:

As part of my GCSE Maths coursework, I have been asked to investigate how the price of a car drops over a certain period of time, depending on certain factors. The cars I will be looking at will be second hand, all the data on these cars will be given to me by my class teacher. I will use the data from this database and compare the data using different methods and calculate how the price of the car drops by each of the certain factors.

Aim:

As part of my coursework I will gather and collect the data I will require from the database on the cars that will be using in my investigation. I will use this data then and place them into tables and then later on draw them into graphs, which I will then use to calculate how the price of the cars drop depending on the certain factors. I will use graphs such as bar graphs, pie charts and even scatter diagram to present my data.

Middle

3

Astra= 28*3=84

Tigra

|

1

Tigra= 28*1=28

Corsa

|||

3

Corsa=28*3=84

Nova

|

1

Nova=28*1=28

Cavalier

|

1

Cavalier=28*1=28

Calibra

|

1

Calibra =28*1=28

This data will be on a pie chart, I will find the angle by divided the total number of cars by 360, as 360 is the total angle of a whole circle.

360/13=28

Now I have to times 28 by the number of cars.

A pie chart to show the

Number of Vauxhall models

This same information will then be put on a graph.

A bar graph to show

The number of Vauxhall models

The third type of car chosen was Nissan

 Type of model Tally Frequency Angle Micra || 2 360/5*2=144 Sunny | 1 360/5*1=72 Primera | 1 360/5*1=72 Almera | 1 360/5*1=72

A pie chart to show

The number of Nissan models

The pie chart shows that there are more models of Micra then any other models associated with Nissan. The pie chart also shows that there are an equal number of the remaining models.

The same information will be shown on a bar graph.

A bar graph to show

The number of Nissan models

A scatter diagram showing the Used Price of the car against its age in years:

Now, i am going to investigate the age that effects on the used price for the different makes.

 Used Price (£) Age (yrs) 7999 1 1595 7 1050 8 1495 11 1995 7 2300 7 4295 3 4700 5 3200 4 8800 2 8250 3 3495 7 7995 4 1664 10 3995 5 2995 6

Looking at the scatter diagram above I can say as the older the car was the less it costs to buy, I can say the graph showed a negative correlation.

The next ten cars chosen at random for negative correlation was Vauxhall-Cavalier, Volkswagen-Golf, Renault-Clio, Fiat-Punto, Nissan-Micra, Bmw-316i, Daewoo-Lanos, Ford-Orion, Ford Fiesta and Mitsubshi-Carisma.

 Car Age Price Vauxhall-Cavalier 10 £850 Volkswagen-Golf 15 £400 Renault-Clio 9 £1495 Fiat-Punto 4 £3995 Fiat-bravo 5 £3495 Bmw-316i 6 £6995 Daewoo-Lanos 3 £5999 Ford-Orion 1 £7999 Ford Fiesta 8 £1050 Mitsubshi-Carisma. 2 £5999

This information will then be put onto a scatter diagram.

This scatter diagram shows that as the car gets older in age the price will also drop, this type of scatter diagram has negative correlation.

The next set of car chosen at random was;

 Car Used Price Age Rover-Metro £875 7 Ford-Fiesta £1050 8 Hyundai-Accent £2800 6 Seat-Ibiza £795 7 Fiat-Bravo £4995 2 Honda-Civic £7995 1 Nissan-Almera £4300 4 Vauxhall-Vectra £4995 5 Peugeot-406LX £5795 3 Rolls-Royce-Silver Spirit £14735 9

From the graph we can see that as the car gets older the price will depreciate, depending on how expensive the car is, for example the car on the graph is 9 years old and is still selling for £14,500.

This graph is negative correlation.

The next ten cars chosen at random for negative correlation was Vauxhall-Cavalier, Volkswagen-Golf, Renault-Clio, Fiat-Punto, Nissan-Micra, Bmw-316i, Daewoo-Lanos, Ford-Orion, Ford Fiesta and Mitsubshi-Carisma.

 Car Age Price Vauxhall-Cavalier 10 £850 Volkswagen-Golf 15 £400 Renault-Clio 9 £1495 Fiat-Punto 4 £3995 Fiat-bravo 5 £3495 Bmw-316i 6 £6995 Daewoo-Lanos 3 £5999 Ford-Orion 1 £7999 Ford Fiesta 8 £1050 Mitsubshi-Carisma. 2 £5999

Conclusion

td class="c27" colspan="1" rowspan="1">

Price

Bmw- 316i

6

£6995

Vauxhall-Astra

4

£6595

Fiat-Bravo

5

£3495

Vauxhall-Cavalier

10

£850

Ford-Fiesta

11

£1495

Nissan-Micra

8

£1795

Daewoo-Lanos

3

£4395

Ford-Escort

7

£1595

Nissan Primera

9

£2574

Landrover-Discovery

1

£13995

This correlation graph also shows negative correlation.

A scatter diagram showing the old Price of a car against its Mileage:

 Price (£) Mileage 16000 7000 8785 68000 7310 90000 7875 74000 8748 60000 9105 6400 12125 29000 11800 34000 8680 27000 14505 7200 13230 34000 13183 43000 17780 30000 6590 37000 15405 57000 9995 64000

From the scatter diagram above there is no correlation, this would mean that that the old Price of a car and its Mileage are not related to one another and have no affect on each other.

The next cars chosen to use against no correlation were;

 Car (ford) Used Price Mileage Ford Orion £7999 7000 Ford Escort £1595 68000 Ford Fiesta £1050 90000 Ford Escort Duet £2300 64000 Ford Focus £8800 7200 Ford Puma £8250 34000 Ford Mondeo £7995 30000 Ford-Escort £13183 43000

This graph no correlation, the reason why it show no correlation is because the price and the mileage of the car have no relation with each other.

The next set of cars chosen was;

 Car (Rover) Used Price Mileage Rover-623 GSi £6999 30000 Rover-820 SLi £3795 51000 Rover-416i £3795 49000 Rover-114 Sli £2495 33000 Rover-Metro £895 43000 Rover-623GSi £2975 96000 Rover-620Si £3400 66000

The last set of cars chosen was;

 Car Used Price Mileage Volkswagen-Golf £3695 49000 Volkswagen-Golf £3595 58000 Volkswagen Golf Gti £6995 35000 Volkswagen-Beetle £13500 6500 Volkswagen-Polo £7550 5000 Volkswagen-Polo £4693 50000

This scatter graph shows no correlation.

Cumulative frequency

Cumulative frequency means “adding it up as you go along”.

the following on the table shows the cumulative frequency.

 Price Frequency Mid interval (£) Cumulative frequency 0<10,000 7 5000 7 10,000<20,000 6 15000 13 20,000<30,000 9 25000 22 30,000<40,000 11 35000 33 40,000<50,000 18 45000 51 50,000<60,000 17 55000 68 60,000<70,000 7 65000 75

Inter quartile= upper quartile- lower quartile

Upper quartile =3/4 (n+1)

Upper quartile = ¾ (75+1)

= ¾ (76)

= ¾ *76

= 228/4

= 57

Lower quartile = ¼ (n+1)

= ¼ (75+1)

= ¼ (76)

= ¼ * 76

= 19

Inter quartile = 57- 19

= 38

 Price Frequency Cumulative frequency 0<20,000 20,000<40,000 40,000<60,000 60,000<80,000 80,000<100,000

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