The Correlation Between Height and Shoe SizeIntroductionOver the years it has been believed that the taller a person is, the larger their feet. The purpose of this investigation is to determine whether there is a strong relationship between a person's height and shoe size. In this investigation, data was collected from 20 female adolescents between the ages of 14 and 18, to see if their height correlates with their shoe size. shoe size. I used people aged 14 to 18 because they are almost done growing, which would not cause any problems in the calculations. I measured their height with a tape measure and asked the test subjects what exactly their show size was. 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 always saw that the taller a person was, the bigger their feet were. yet I'm only 5'3” and have a relatively large foot for someone my height; I wear a size 9. I wanted to test the common theory to see if I myself was unique or if the theory itself was false. Height Shoe size62 766.5 8.566 865 966 ​​​​1062 760 562 7.564 6.560 564 7.569 9.563 8.560 667 9.565 7.564 7.562 764 7.559 5.5Average:57.1 7.5Average of 'height: 57.1 cmAverage shoe size: 7.5 cmData Analysis/Mathematical ProcessGraph 1: Shows height in correlation with shoe size on a scatter plot. There appears to be a positive correlation between how people's height increases as their shoe size increases. Standard Deviation Standard deviation is a measure of how spread out the numbers are. 1The standard deviation equation for limitations of this survey indicates that only 20 people participated in the survey, which is not enough due to the number of people in the world with different feet and shoe sizes. The data collected focused on a range of adolescents aged 14 to 18 years old, so some teenagers may not have finished growing yet. I chose teenagers because I wanted to be able to have a large number of test subjects who were in their prime, to test their height growth and growth. of feet size were consistent. Finally through these results, I can say that my correlation between height and foot size is quite anomalous, since the relationship between both is quite linear. Although the teenagers were still growing up, using teenagers as subjects of the tests I was able to demonstrate this linear relationship in most students.