Investigate the relationship between height and weight and how it changes between gender and year Essay Example

Investigate the relationship between height and weight and how it changes between gender and year Essay Example Investigate the relationship between height and weight and how it changes between gender and year Essay Investigate the relationship between height and weight and how it changes between gender and year Essay I am going to investigate the relationship between height and weight and how it changes between gender and year. I chose this hypothesis because it seems to be the most interesting to study. My expected result will be clear and will show a strong relationship between height and weight in year groups and gender. To prove my hypothesis I will use tables such as box and whisker diagrams and use various methods to pick my data randomly to show it doesnt have biased results. I will have to use secondary data the advantages I have are that I will not waste time as I would have if I collected it myself but the disadvantage is that the data might be unreliable. To get the sample of 10% I will have to use random sampling and stratified sampling. 10% of all the data is 118 also I deed a total of 118 students. Yr 7 males 151 1183 x 118 = 15 Yr 7 females 131 1183 x 118 = 13 Yr 8 males 145 1183 x 118 = 14 Yr 8 female 125 1183 x 118 = 12 Yr 9 male 118 1183 x 118 = 12 Yr 9 female 143 1183 x 118 = 14 Year 7 male Year 7 female Year 8 male Year 8 female Year 9 male Year 9 female All years Male and Female Correlation Coefficient My correlation coefficient is 0.525854261 The Main Study My Hypothesis is that boys are taller and heavier then girls and the difference between boys and girls will increase as the students get older. Sampling I have chosen a random sample from 7 of the groups I have picked 30 students from each randomly and my results are as below Years 7 Females Year 7 males Year 8 Females Year 8 Males Year 9 Females Year 9 Males Anomalies To make sure my data is reliable I will test for anomalies to do this I will use the interquartile range and find out if there are any outliers Year 7 Females Height (Lower Quartile and Upper quartile) Lq 150 Uq 161.75 Iqr 11.75 The outliers are 138.25 and 179.375 but there are no anomalies in this data Weight (Lower and Upper quartile) Lq 40 Uq 48.75 Iqr 8.75 The outliers are 26.875 and 61.875 but there are no anomalies is the data Year 7 Males Height (Lower Quartile and Upper Quartile) Lq 147 Uq 159.5 Iqr 12.5 The outliers are 134.5 and 172 Weight Lq 39.5 Uq 49.5 Iqr 12.5 The outliers are29.5 and 59.5 Year 8 Females Height (Lower Quartile and Upper quartile) Lq 155 Uq 163 Iqr 8 The outliers are 145 and 173 Weight (Lower and Upper quartile) Lq 45 Uq 52 Iqr 7 The outliers are 36.25 and 60.75 Year 8 Males Height (Lower Quartile and Upper Quartile) Lq 152 Uq 162 Iqr 15 The outliers are 133.25 and 185.75 Weight Lq 38 Uq 52 Iqr 14 The outliers are 20.5 and 69.5 Year 9 Females Height (Lower Quartile and Upper quartile) Lq 153 Uq 162 Iqr 9 The outliers are 141.75 and 173.25 Weight (Lower and Upper quartile) Lq 45.25 Uq 52 Iqr 6.25 The outliers are 36.8125 and 60.4375 Year 9 Males Height (Lower Quartile and Upper quartile) Lq 154.25 Uq 172.5 Iqr 18.25 The outliers are 131. 4375 and 195.3126 but there are no anomalies in this data Weight (Lower and Upper quartile) Lq 45.5 Uq 60 Iqr 14.5 The outliers are 27.375 and 78.125 but there are no anomalies in this data I will now show a summary table as a way of showing comparisons between gender and year All Years Male Correlation Coefficient Height Mean Height Standard Deviation Weight Median Weight IQR Year 7 0.394972 152.84 8.420776 43 10 Year 8 0.550165 157.50 14.83408 48.5 14 Year 9 0384617 162.97 10.20942 52 14.5 All Years Female Correlation Coefficient Height Mean Height Standard Deviation Weight Median Weight IQR Year 7 0.409882 155.10 8.009786 45 8.75 Year 8 0445067 158.81 9.812498 50 7 Year 9 0.314751 157.7667 8.670576 49 6.75 Conclusion On each scatter graph the correlation shows some good positive correlation these show that my hypothesis may be correct. Also each Scatter graph shows height and weight which was used to compare height and weight with different genders The average correlation of year 7 is 0.402427 this is a very supportive piece of evidence, for year 8 it is 0.420469 and year 9 it is 0.432458 again these both are very supportive of my hypothesis. With this correlation it is even more likely the hypothesis will be correct so I am pleased with theses results The differences between the height and weight of boys and girls are that boys are heavier and taller then girls in all years. As boys and girls get older their weight and height increases but boys still are usually taller and heavier. If I had included the anomalies I think they would have changed the results so I am pleased that I didnt include them T he box and whisker diagrams I have drawn shows the minimum, lower quartile, median, upper quartile and maximum they show visually the height or weight of each year and gender which helps greatly with the comparison The mean and standard deviation shown in the summary tables for height are helpful because the standard deviation looks at how spread a collection of data is and is a way of comparing two sets of data in this case which is height and weight. Mean is when a set of data is added together and subtracted by the number of figures there are. My findings defiantly agree with my hypothesis because of my using the different year groups it only proves that my hypothesis is correct my hypothesis was boys are taller and heavier then girls and the difference between boys and girls will increase as the students get older The reasons why I have my findings is that because I built up on my hypothesis and I got rid of any anomalous data that I had and I made the hypothesis as simple as possible so that the data would be easy for everyone to be able to understand it The exceptions to patterns they are there because there was bound to be patterns within this hypothesis because the data was to show a pattern of height and weight between gender and year. This is because that pattern was one that I was looking for Evaluation My sample was a fair sample because I used random sampling which shows that my results were not based on biased samples random sampling ensures that no biased data would get into my results also the data was representative of the whole year and gender that I was sampling This project I think had quite a few limitation as I was not allowed to use my own data which in my mind would have been more reliable and accurate also there was a limitation to what graphs I could use and how I could represent my data The only problem I faced was getting the data into a type of data I could use that would be relevant to my hypothesis I had to delete several columns and that was at times frustrating especially when I had a couple of times deleted columns I needed. If I could make changes I would have made the change about the data I would have allowed myself to go out and collect my own as I said before this would have been more accurate and reliable. All in all this was an enjoyable piece of coursework with an interesting hypothesis and I have learnt many facts from just studying it and I hope you have agreed with the hypothesis due to my evidence