Shoe Manufacturer's Statistics

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Shoe Stats Determining whether or not the shoe manufacturer can actually manufacture one size of shoe regardless of height and gender and still remain successful is not as simply addressed as one might think, yet is also not especially complex and can be addressed with just a basic knowledge of statistics. Entering the provided data into a spreadsheet allows for easy manipulation and calculation, and this was done here. The data was then sorted by shoe size and the quartiles marked as a preliminary means of analysis. Simply from this data sorting, it can be seen that gender has a very clear relationship with size there is only one male in the lower two quartiles of the data (the half of the data set with the smaller shoes), and similarly there is only one female in the upper two quartiles. This immediately and compellingly suggests that women generally wear smaller shoes and men generally wear larger shoes, and though this is not enough of a reason to dismiss the shoe manufacturer's plan it certainly does not bode well. Calculating the mean and the standard deviation of the shoe size sample also indicates that the plan is not especially advisable the mean shoe size is just over 9, which is the right size for only one person in the sample, and a standard deviation of 2.49 means there are substantial differences or a wide variance in shoe sizes there is not a strong cluster around the mean, but instead shoe sizes are very spread out. A correlation analysis between shoe

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