Bivariate Data - The aim of this coursework is to discover whether there is a correlation between the heights of people and there shoe size.

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Unit 2614: Statistics 2:

Bivariate Data

Aim

The aim of this coursework is to discover whether there is a correlation between the heights of people and there shoe size. Is it true that if you are taller, your shoe size is bigger? In this investigation, I deem to find that out. This information would then be used to inform specialist clothes shows that tailor for tall men, which shoe sizes to stock. Should a shop that sells clothes for men over 6ft stock shoes which range from size 6 up to size 15? Or would it be more appropriate for them to just stock from sizes 10 -15?

Data collection

The population is adults who shop in Shirley, Birmingham. When I was working in a supermarket, I asked the first 50 people from 6pm onwards if they would fill in my table. The sampling method I have used is definitely not random however; it is suitable for this investigation. The conclusion given at the end of this investigation will acknowledge that I have not used a random sampling method.

(Table shown below)

All 50 people co-operated and filled in the table as requested. There are weaknesses with this form of data collection.

However, asking one person, does not affect the second persons answer. Also, I am relying on the customer’s results to be accurate. There was roughly an even number of men and women filling in my chart. Another point to mention is, the majority of the data was collected from adults; there were no children in my population and no elderly people, all by coincidence.

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The data will tell me if there is a correlation between height and shoe size. As I mentioned before, the data is not 100% accurate because it isn’t random however, I am relying on the information collected to be reliable enough for the investigation.

(Sorted Data)

For this investigation, I have decided to see whether there is a correlation between height and shoe size. To work out the correlation coefficient I will use Pearson’s Product Moment correlation coefficient. Calculating PMCC is an appropriate technique since both my X and Y variables are ...

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