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• Level: GCSE
• Subject: Maths
• Word count: 2041

# This piece of coursework is designed to test the use and interpretation of statistics in relation to used car prices.

Extracts from this document...

Introduction

MATHS COURSEWORK: USED CAR PRICES

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

My investigations will include scatter diagrams and correlation. I will also use cumulative frequency curves to achieve the best mark possible.

During this investigation I will try to out what influences the price of a second hand car.

I have been given a database, which contains information about some used cars. The database includes many different makes of cars, their length, no of doors, air conditioning, engine size, mileage and more. All these features have been included to find out whether or not they affect the price of used cars.

## Hypotheses

1. I predict that the original price of the car will affect the price of the car when second hand. This is because, for example, after one year, a car with an original price of £40,000 would be expected to cost more than a car after one year with an original cost of £10,000.
2. I predict that the age of a car will also influence the second-hand price of a car. The older the car, the bigger the decrease in value.
3. I predict that the mileage of a car will make a considerable difference to the price of a car, as the higher the mileage, the less value the car will have.

Middle

The distribution of the data is not to the highest standard, as the curve is not particularly tight. This means that the results are not incredibly consistent because there is quite a wide variation.

I think this is due to the fact that there may be a few anomalies in the data, which has made a slight difference to the overall result. Also other car features may cause the result of this hypothesis to vary slightly. These factors are not surprising and will be taken into consideration throughout the course of every hypothesis in this investigation.

Overall the cumulative frequency graph does show a relevant curve, which proves that there is a relationship between the original price of a car and the second-hand price of a car.

The higher the original price of the car, the higher the second-hand price of a car. This proves my hypothesis correct.

### Hypothesis 2

The older the car, the bigger the decrease in value.

For this part of the investigation I will need to use 2 sections of the car records, however it would also be helpful to include a new column, as shown below:

 Car no. Price when new Price (second hand) Price Decrease Age 1 16000 7999 8001 1 3 18580 7999 10581 2 6 13610 4999 8611 4 8 22980 6999 15981 4 10 13510 7499 6011 4 12 18140 6499 11641 4 15 8601 3995 4606 4

The column in red is the new section. I created this new column on Microsoft Excel by deducting the second-hand price from the price when new.

Conclusion

I have formulated a table with only one column, which shows the amount of extra features that apply to each car. This column is titled ‘No. Of Extra Features’.

Here is the table that I have remade to acquire the relevant information:

 Car no. Price when new Price (second hand) No. of Extra Features 1 16000 7999 3 3 18580 7999 4 6 13610 4999 2 8 22980 6999 4 10 13510 7499 3 12 18140 6499 4 15 8601 3995 1

With all the required information now in place I can create scatter diagram, which is shown below:

The diagram shows that there is a relationship between the second-hand price of car and the number of extra features that are included. The graph shows that the more extra features the car has, the more expensive it is likely to be.

Of course, there are a few anomalies, which have been pointed out. This is not unusual and luckily they have not interfered with the overall result.

Overall, my hypothesis theory was correct.

To conclude this piece of coursework I have found that all the results of my calculations and graphs have supported my original hypotheses. This indicates that I produced relevant theories to investigate what influences the price of a second hand car.

Kitty Stewart        11B2 – 11Y1        Maths Coursework

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