• 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
  17. 17
    17
  • Level: GCSE
  • Subject: Maths
  • Word count: 3996

Handling data Used car prices

Extracts from this document...

Introduction


Introductionimage00.pngimage01.jpgimage04.jpg

The overall aim of this project is to find out what the major influences are affecting the price of a second hand car. There are some major influences directly affecting the price, i.e. the age of the car, the number of miles done by the car since its production and the number of modern features the car has. In this project I will be looking at the age and the mileage and how they affect the price of a second hand car.

Aims

  1. Assess whether there is a link between the percentage of depreciation in the value of the car from new to second-hand and the age of it and its mileage.

My first aim is to find out how the 2 biggest influences affect the value of it when bought second hand. The percentage of depreciation in the value of the car is affected by many other factors; however, here I am trying to find out how the age and mileage alone affects it. The first two hypotheses stated below will help me investigate this objective.

  1. Investigate what style of car has the largest depreciation value.

This aim is different from the first one because it now looks at how the style of the car affects the depreciation value. I will be looking at hatchbacks, saloons and others (coupes, utilities and azuras) as part of this investigation. From this I will be able to see which style of car causes the largest drop in price, regardless of the age and the miles done by the car.  

Hypothesises

  1. Relating to the first aim, I predict that as the age of the car increases, the percentage of depreciation in the value of the car increases.

...read more.

Middle

image05.png

        The graph shown above shows a very good upwards trend. There is a strong positive correlation between the value of depreciation and the age in years of the cars. The graph shows that the older the car the bigger the difference between price of the car when new and second hand will be. For an older car, the age has more significance when determining the price of the second-hand car. A car that is only one or two years old is still relatively new so therefore many other factors are taken into account as well. A car that is old generally has done more miles, shown by this graph below. This graph shows the general relationship between age and mileage. The graphs states that generally as the age increases the number of miles done by the car increases. In such a large sample of 10 cars, there are a few exceptions and anomalies that do not comply with this rule. This may be due to the fact that some people use their car a lot more than the average person does. image06.png

Using this equation I can then predict the value of depreciation of a car by knowing its year using the general equation of the line. The equation of this line is

y = 11x + 29. I will now pick a car from random that was not used in the stratified sample and see if it works in the graph and the equation. I have taken car number 22 which is the Rover 114Sli. This car is 6 years old and has depreciated in value by 71%. From the graph, the red dotted line shows that the depreciation value is actually 68%. It is only out by 3%.

...read more.

Conclusion

image11.png

The third graph shows the value of depreciation of the other styles of cars against the number of cars that are in each group. image02.png

From the polygons shown above, we can see that other cars and hatchbacks have most of the frequencies concentrated towards the middle percentages of depreciation. For the saloon it is more evenly spread. There is no perfect trend for any of the graphs, however, the hypothesis I stated above is correct because the saloon is the lowest. I predicted that out of the three styles of cars, the saloons would have the lowest effect on the depreciation value. This is due to this style of car being very modern and attractive compared to the other styles. This means that being a saloon will mean that the depreciation value will depreciate least, based only on this aspect of the car. If it were any other style, then that would have a greater influence on the depreciation value. image03.png

I think that this hypothesis would have been improved if I had grouped the data in a more effective way than just in groups of 20%, this would have the results more accurate.

From this project I have seen that there are two major influences that strongly affect the price of a car that is second hand. These are the age of the car and how many miles the car has done in its lifetime. These two influences have a close relationship shown by the product moment correlation coefficient. I have shown that they have a heavier influence on the depreciation value of the car when the age of the car is higher than younger cars. In this project, the main aim was to find out what the major influences was that affected the price of a second hand car. Although the style of the car was very important, the main factors were age and mileage.

...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. Statistics: Factors Affecting the Price of Used Cars

    Also, I used unequal widths because there are some big gaps in the data. I put this data onto a pie chart and bar chart so that the percentage and frequency of a certain group can be seen quickly and easily.

  2. I will research the cars by putting the data I have been given into ...

    77 79 82 83 88 88 The middle number is 71 so that is the median of these numbers.

  1. This piece of coursework is designed to test the use and interpretation of statistics ...

    For this part of the investigation I will need to get my final results from the following information from the car records: Car no. Price when new Price (second hand) Mileage 1 16000 7999 7000 3 18580 7999 20000 6 13610 4999 33000 8 22980 6999 30000 10 13510 7499

  2. Maths Coursework:Used Cars

    The correlation got stronger when I looked at only one make because one make of car is likely to have a certain trend with it i.e.

  1. I have been given instructions to collect data for my GCSE statistics coursework and ...

    However, as I look at the mitsubushi, it is only a couple of hundred pounds more and it as only had one owner, this has confused me and my hypothesis is on 50% correct. I will need to research more into the data if I want to get a more clearer and accurate result.

  2. Examine how the age of a second hand car affects its price. Also to ...

    Nissan Primera 13355 2574 49000 19% 82 Mazda Pegasus 10420 2495 50000 24% 76 Suzuki Vitara 10800 2995 50000 28% 62 Peugot 406LX 13975 5795 53000 41% 54 Bentley TurboR 170841 37995 55000 22% 96 Ford Escort 15405 3995 57000 26% 93 Vauxhall Calibra 18675 6995 63000 37% 60 Rover

  1. Investigate how the prices of used cars vary from new cars.

    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.

  2. Statistics on car prices

    I hope that all the data will be valid and correct, though human error could be a factor in wrong data, if there are mistakes in the survey I will point these out in my evaluation. Once I have done my different investigations I will show my data in forms

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