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Height and shoe size investigation
Height and shoe size investigation
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Height And Shoe Size Research
660 Words2 Pages
Recommended: Height and shoe size investigation
The correlation between height and shoe size
Introduction
Throughout the years it has been believed that the taller a person is, the bigger their feet are. The purpose of this investigation is to determine whether there is a strong relationship between the height of a person and their shoe size.
In this investigation, data was collected by 20 female teenagers from ages 14-18, to see if their height correlates with their shoe size. I used people from ages 14-18 because they are almost done growing, which would not give any problems to the calculations. I measured their height with a yard stick, and asked the test subjects what their show size was precisely. The independent variable is the shoe size, and the dependent variable is the height.
I decided to perform this experiment because I was always very interested in fashion. I always saw that the taller a person was, the bigger their feet were. yet I am only 5’3” and have a relatively large foot size for a person of my height; I am a size 9. I wanted to test out the common theory in order to see if I myself was unique or if the theory itself was false.
Height Shoe Size
62 7
66.5 8.5
66 8
65 9
66 10
62 7
60 5
62 7.5
64 6.5
60 5
64 7.5
69 9.5
63 8.5
60 6
67 9.5
65 7.5
64 7.5
62 7
64 7.5
59 5.5
Average:57.1 7.5
Mean of height: 57.1 cm
Mean of shoe size: 7.5 cm
Data Analysis/Mathematical Process

Graph 1: Shows the height in correlation of the shoe size on a scatter plot. There seems to be a positive correlation of how the height of the people get taller as their shoe size gets bigger.
Standard Deviation
Standard Deviation is a measure of how spread out numbers are. 1
The equation of standard deviation for x is:
 - 2.67284
((62-57.1)2+...
... middle of paper ...
...nts the strength of the relationship between both variables.
The limitations of this investigation are that only 20 people participated in the investigation which is not enough because of the number of people in the world with different feet, and shoe sizes. The data collected focused on a range of teenagers from 14-18, so some teenagers might not have been done growing. I chose teenagers because I wanted to be able to get an abundance of test subjects that were in their growing prime, to test to see if their growth in height and growth in feet size were consistent.
Finally through these results, I am able to say that my height and feet size correlation is quite abnormal, as the relationship between both is quite linear. Though the teenagers were still growing, by using teenagers as test subjects I was able to prove this linear relationship in most students.