The Correlation Between Height and Shoe SizeIntroductionOver 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 if there is a strong relationship between a person's height and their shoe size. In this survey, data was collected from 20 adolescent girls aged 14 to 18, to see if their height correlates with their height. size. I used people aged 14-18 because they are almost done growing, which would pose no problem for the calculations. I measured their height with a tape measure and asked the test subjects exactly how tall they were. The independent variable is shoe size and the dependent variable is height. I decided to do this experiment because I have always been very interested in fashion. I have always seen that the taller a person is, the bigger their feet are. However, I am only 5'3" and have a relatively large foot size for someone my height; I am a size 9. I wanted to test the common theory to see if I was unique myself or if the theory itself was wrong 7.562 764 7.559 5.5Average: 57.1 7.5Average height: 57.1 cmAverage shoe size: 7.5 cmData analysis/Mathematical processGraph 1: Shows it. height correlates with shoe size on a scatterplot There appears to be a positive correlation between people's height and their shoe size Standard deviation Standard deviation is a measure of the spread of numbers 1Equation. of the standard deviation for x is: - 2.67284((62-57.1)2+...... middle of paper ......nt the strength of the relationship between the two variables. Limitations of According to this survey, only 20 people participated in the survey, which is not enough due to the number of people around the world with different feet and shoe sizes. The data collected focused on a range of adolescents from 14 to 18 years old, so some adolescents might do this. I chose teenagers because I wanted to be able to get an abundance of test subjects who were in the prime of their lives, to test if their height growth and foot size growth were consistent. Finally, thanks to these results, I can say that the correlation between my height and the size of my feet is quite abnormal, because the relationship between the two is quite linear. Although adolescents are still growing, by using adolescents as test subjects, I was able to prove this linear relationship in most students..