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  • Level: GCSE
  • Subject: Maths
  • Word count: 2211

A Data Handling Project for Used Car Prices

Extracts from this document...

Introduction

GCSE Mathematics Data Handling Project A Data Handling Project for Used Car Prices For this data-handling project I will be investigating how age affects price. To do this I will, * Take a random sample of 50 makes of used cars by using the random sample button on a calculator, * Using this sample I will find the age and price for each car and record this data in tally charts, * I will present the data from the tally charts in various graphs and charts with explanations. * I will then extend my inquiry by investigating whether two separate makes of used cars have different ages and prices. * Also to go further for my extended investigation I will look at magazines to find more current prices of used cars and compare it with the data I've been given, to suggest reasons for any differences between the two makes. Hypothesis I think that in general the older a used car is, the lower the price. This is due to the older the used car is, the more chance there is of it breaking down. This in turn will make the insurance fairly high, and the cost of ownership will increase dramatically, because the user may have to use a lot of their money on repairs. ...read more.

Middle

intervals; therefore to make it easier to read off the median values I decided to record the data in a Stem and Leaf diagram. Ford Cars Stem Leaf Frequency 1000 000 1 2000 900 1 3000 495 1 4000 995, 976 2 5000 0 6000 595, 499, 995 3 7000 999, 499 2 I also recorded the mean, median, range for the data and because the data is continuous I will find the modal class interval instead of the mode. Price Mean Modal Class Interval Median Range Ford 3423 1000-1999 3098 6400 Vauxhall 5295 6000-6999 5786 6999 Recording My Data for Age I drew up tally charts to show age for Ford and Vauxhall. Ford Age Tally Frequency 3 I 1 4 II 2 5 II 2 6 I 1 7 II 2 8 0 9 0 10 I 1 11 I 1 Vauxhall Age Tally Frequency 2 II 2 3 0 4 IIII 4 5 0 6 III 3 7 0 8 0 9 0 10 I 1 I considered the data for age of Ford and Vauxhall using bar charts. Ford Vauxhall I will compare the ages for Ford and Vauxhall cars using a dual bar chart. I will compare the mean, mode, median and range of ages for Ford and Vauxhall, so that I can receive more evidence to support my hypothesis. ...read more.

Conclusion

this suggests that the correlation for Ford is better than Vauxhall, * The scatter graphs can help when predicting estimates of price and age, by reading from the graph, * The points on the scatter graph for the mixed sample of Ford and Vauxhall cars fit on a straight line better than on a curve, which means that the relationship is linear, * The overall conclusion that I have come up with is that age does affect price and that Ford cars are older and cheaper than Vauxhall cars. I'm not completely sure that the results I received are genuine; therefore in order to receive more reliable results I could have, * Collected more data for both samples as some individuals fell outside the general trend, * Taken a bigger sample of cars, * Done statistical tests, so that my conclusion fitted more appropriately, * Produced more graphs, charts, etc, each with a more detailed explanation, * I could have also given some consideration to other reasons why price is affected i.e. engine size. On the whole my results suggest that the older a car is the lower the price. This assumption could be a useful hypothesis for car dealers when they want to give an average buying rate of a car, to a customer, without having to check the book price. ...read more.

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