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# house prices and sales

Extracts from this document...

Introduction

GCSE MATHS STATISTICS COURSEWORK

By      Christopher Davies

Form 11 Dane

An Investigation of Factors Influencing

House Prices and Sales

I plan to investigate some of the factors affecting the sale and the price of houses in this country.

I have heard on the news that London is the most expensive place to live and so I will investigate whether this is true.

My first hypothesis is:

Average house prices are more expensive the closer you get to London.

Data to be collected

I need to collect data regarding house sales from all over the country. I need to know where the house was and how much it was sold for.

I could try and do this by visiting Estate Agents in various parts of the country and obtaining information on the houses they have for sale. This would be collecting primary data but it would take a very long time.

I could speed this up by looking on Estate Agents web-sites and obtaining the data but it would still be very time-consuming.

I therefore searched the internet for data that I could use.

Middle

Data Collection

I am going to reduce the data to a sample containing 36 different regions/areas.

I will use 36 because I feel that it is a suitable sample size which can be easily divided by 3 or 4.

To produce my random sampling I will number all the regions/areas in the data table. One way would be to put all the numbers in a hat and pull out 36 however I will use the random number key on my calculator to generate a number between 0 and 1. By multiplying this random number by the amount of regions there are it will produce a random region. I will do this 36 times to generate my random region list. If the same number comes out more than once I will ignore it until I have 36 different regions.

Sample

There are   different regions.

The random number generated on my calculator is

0. 146 x 109 = 15.914, and so region 16 (Cheshire) will be included on my list.

When I have my random sample I will produce a table showing the results of average house price in the region and the distance it is from London.

Conclusion

I could also investigate if the number of houses bought and sold in the North is less than the south.

My third hypothesis is:

The number of houses bought and sold in the North is less than the south.

To investigate and therefore prove / disprove this hypothesis I could use mean and standard deviation to compare the two results.

I suspect that more people think about moving house in the summer when it is warmer and more pleasant to go out looking than in the winter. I intend to investigate whether more houses are sold in the summer than in the winter.

My forth hypothesis is:

More houses will be sold in the summer than in any of the other seasons.

To investigate if there are More Sales in Summer I shall plot aFrequency polygon. Could then go on to plot moving averages for this graph to try and find a trend and possibly plot a line of best fit. As I suspect that the mean number of sales would increase as another year past.

My fifth hypothesis is:

The mean number of house prices would increase as another year past.

This student written piece of work is one of many that can be found in our AS and A Level Probability & Statistics section.

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