The relationship between height and weight of studentsINTRODUCTIONIn this investigation I intend to find out if there is a relationship between height and weight in students and how this relationship changes between girls and boys, with age. I chose to investigate the relationship between height and weight as I think height and weight are the only two categories that will provide a clear correlation. If I were to investigate the relationship between two other categories, such as eye color and IQ, I believe that, as interesting and entertaining as the results may be, they would not provide too clear a relationship, nor any conclusive information. The data provided provides information on 1183 girls and boys at Mayfield High School, who were classified into their year groups. These year groups begin with students entering adolescence and end in the mid-teen years. In order to compare girls and boys in each year, I will represent the distribution of heights and weights for both genders in each year in various forms. I plan to use stem and leaf plots, scatter plots and box plots, and a wide range of calculated data, such as the average of their heights and weights, their interquartile range, and their body mass index. The data that will be plotted will not be all data as long as if I were to do this I would plot 2366 reference points which would be ideal however time does not allow for this number of points. So, I will instead take a stratified sample of the total data and use this sample in the investigation. From these data representations, conclusions will be drawn about how the relationship between height and weight changes with age and gender, but before this is done, any anomalous data will be taken into account, so that it does not influence the overall conclusions. Assumptions The following assumptions were made, to predict the outcome of
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