• Join over 1.2 million students every month
• Accelerate your learning by 29%
• Unlimited access from just £6.99 per month
Page
1. 1
1
2. 2
2
3. 3
3
4. 4
4
5. 5
5
6. 6
6
7. 7
7
8. 8
8
9. 9
9
10. 10
10
11. 11
11
12. 12
12
13. 13
13
14. 14
14
15. 15
15
16. 16
16
• Level: GCSE
• Subject: Maths
• Word count: 5138

# Mathematics course work

Extracts from this document...

Introduction

Mathematics coursework on used cars prices

Mathematics course work

Used car prices

Introduction

In  this  investigation  I  will  see  what  affects  the  prices  of  a  second  hand  car. I   will  analyse  each  category  with  tally  and  bar  charts. For  this  investigation  I  will  pick  out  30  cars  from  the  Internet. From  these  30  cars  I  will  see  which  cars  affect the  price  of  the  second  hand  car.

These are the cars I chose from the Internet.

10 BMW cars.        10 Audi cars                     10 Mercedes cars

BMW 316i        Audi A3                           Mercedes CLK

BMW 318i        Audi S3                            Mercedes SLK

BMW 320i        Audi A4                           Mercedes E-class

BMW 325i        Audi S4                            Mercedes S-class

BMW 330        Audi RS4                         Mercedes C-class

BMW 520i        Audi RS6                         Mercedes SL 55

BMW 730i        Audi S8                            Mercedes CL 55

BMW M3        Audi TT                    Mercedes A-class

BMW M5                    Audi S2                            Mercedes SL 500

BMW 850i        Audi RS2                         Mercedes CL 500

My task was to find out what influences the price of a second hand car.

To compare any data from these cars, I must at least pick out 5 models of cars then analyse it. The data that I will use is from the Internet. I will take each category and investigate the reasons that affect the price of a second hand car when it was new.

The first category I will look at is for the Age.

My hypothesis for this category is that the lower the age a car has then the higher price the car will be.

Here is a table that shows 5 BMW cars.

 Make Model Age Price when new Second hand price BMW 316i 11 £15,995 £3,995 BMW 318i 10 £16,000 £4,000 BMW 320i 7 £15,000 £5,500 BMW 325i 4 £19,995 £8,000 BMW 330i 2 £18,000 £10,995

With the information in the table above, I will draw a stem and leaf diagram so that it is easier for me to find out the mean, mode and median.

I have listed the ages of the cars in order of size.

2, 4, 7, 9, 10,

 Leaf Stem Frequency 1 0,1 2 0 7,4,2 3

Key: 1     0     this means the age of 10

Middle

With the interquartile range I can find out the semi-interquartile range.

To do this I have to divide the interquartile range by 2.

5 / 2 = 2.5                  the semi-interquartile ranges of the 5 cars is 2.5.

The Audi car with the highest age is the Audi A3 with the age of 12. The Audi with the lowest age is the Audi RS6 with the age of 2. From these 5 cars the car that has the lower age will cost more then the car with the highest age, my hypothesis was right. The car price when it was new doesn’t only change because of its age but other things that come fixed with the car like the fuel, engine size, and seats.

Sometimes the colour, style and the gears can make changes to the price as well. The Audi RS6 is a much higher class then the Audi A3. This could also change the car price.

Now I will show a line graph to show the trends of the 5 cars.

By looking at the line graph I can say that again it has a weak negative correlation because when the age is low (2) the price is high (£20000) and when the age is high (12) the price is low (£3500) so the conclusion for this is that the lower the age the higher the price of the car and the higher the age the lower the price will be.

The graph matches my hypothesis, which I was right.

To find out how much price is reduced every year, I will have to find out the differences of the car prices. To do these I will subtract the new price with the second hand price.

I will use the last Audi car in the table, which is the RS6.

60000 – 20000 = 40000

The difference of the Audi RS6 is £40000.

Conclusion

I have proved above by showing tables and graphs of 5 BMW and Audi cars that the higher the mileage a car has then the less the car will cost and the lower the mileage the more the car will cost. But in some cases the mileage will be higher then another car like the Audi RS6 has a higher mileage then the Audi S3 but the Audi RS6 still costs more then the S3.

Overall I think that the higher the mileage the lower the car price and the lower the mileage the higher the car price will be.

## Evaluation

In this coursework my task was to see what influences the price of a new car to the second hand car price. I chose three categories and investigated them to see what happens. In the first category I looked at the ages of different cars an saw that the higher the age of a car, then the less the car price would be later on I found out that I can use the differences of a car and see how much is reduced every year.

The next category I investigated was the colours of the car. I investigated if the colours of the car decreased the car price, which in some cases did, but in other cases it didn’t. For this category my hypothesis was ‘the rare coloured cars have a higher price as the un-rare coloured cars will cost less’. By showing tables and graphs my hypothesis was correct.

The last category I investigated was the car mileages of 5 BMW and Audi cars. I found out that if a car has a high mileage then the car will be cheaper then a car that has a low mileage but in some cases it didn’t as I have shown in the Audi car mileages.

Overall I think that the investigation was successful and also interesting on finding what type of categories that influences the car prices.

Page

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

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

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

-4845.5 55470 23478870.25 3076920900 -268779885 6145 19900 174.5 -14630 30450.25 214036900 -2552935 9075 90000 3104.5 55470 9637920.25 3076920900 172206615 4900 60000 -1070.5 25470 1145970.25 648720900 -27265635 10700 12000 4729.5 -22530 22368170.25 507600900 -106555635 6690 15000 719.5 -19530 517680.25 381420900 -14051835 7735 12000 1764.5 -22530 3113460.25 507600900 -39754185 25810 19000 19839.5

2. ## Maths Coursework - Used Cars

be misleading as it is affected by extreme values since it is calculated by highest value minus lowest value. Therefore I have decided to find the range of the middle 50% of the data which means it is a better way to measure the spread.

1. ## Maths Coursework:Used Cars

went very well because I was able to prove my hypothesis right most of the time with a few exceptions which may be because of errors in the spreadsheet which I use to make all the graphs and tables in this coursework.

2. ## Maths Coursework: Car Sales

will also be affected. I will first plot the Price Decrease per Year against the Engine Size, and then the Average Decrease per Year against the Make (Brand) of the cars. By looking at the graph above, I can see that there is no correlation between the Price decrease per Year and the Engine Size.

1. ## Statistic coursework-what has the most influence on the price of a second hand car?

7863 690 3335 5570 1055 2330 4470 1035 3885 4560 8990 5050 1365 4380 4615 10555 7560 690 5910 4715 4290 7985 8595 9715 1470 11930 12370 2670 =Average (1055:1670) =4823.5 =STDEV (1055:2670) =3301.73 Mercedes-Secondhand price standard deviation 11395 25995 19955 4635 24435 13570 3885 12800 13455 17595 10920 14225

2. ## Used car prices.

Positive Correlation Negative Correlation Neutral Correlation (No correlation) Finally to achieve a top grade I will be drawing different graphs, from different sets of data, as before, and with the help of these drawn graphs I will assign the gradient and the inception the y-axis. I will also be writing statements so the graphs could be understood properly.

1. ## Handling data Used car prices

The groups show the car number from the database, and then relevant information relating to the hypothesis, the make and the model of the car and the price of it when bought new and when sold on second hand. The last column shows the value of depreciation in the car's

2. ## used car coursework

Used car price New car price 7999 16000 1595 8785 1995 8748 2300 9105 4295 12125 4700 11800 3200 8680 3495 13183 1664 6590 3995 15405 2995 9995 This table compares the used car price to the new car price of Ford cars.

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