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  • Level: GCSE
  • Subject: Maths
  • Word count: 2546

Height and weight of pupils

Extracts from this document...

Introduction

Statistics Coursework Introduction The data that we are going to use is secondary data that has been collected from a high school. It is made up of a collection of qualitative and quantitative variables . This also includes both discrete and continuous data. The data is in the form of a spreadsheet, making it easy to identify the required information for the investigation. I am using this secondary data as it would be easier than collecting primary data myself. This would take a very long time, and using secondary data will not affect the results of my investigation if I emit any obvious mistakes in the given data. These may affect the accuracy of the investigation and could occur if, for example, the person typing up the data made a typing error or one people in the population may have misunderstood a question or answered incorrectly. The line of enquiry that I have chosen to use is the relationship between the height and weight of different pupils in the high school. To investigate this I will need the following data about the members of the population... ? Year group - discrete quantitative data ? Gender - discrete qualitative data ? Height - continuous quantitative data ? Weight - continuous quantitative data I will delete the rest of the data as it is not needed in my investigation. I will then sort the relevant data into groups of year group, gender etc. ...read more.

Middle

5. Next, I will calculate Spearman's rank correlation coefficient for each of the 6 sets of data. This will give me a numerical value of the correlation of the data meaning that I can further compare the relationship between the heights and weights of the pupils, making my results more accurate. 6. I will then draw box and whisker plots of the data so that I can further compare the boys and girls data from each year group. This will show me the distribution of each of the sets of data and I will comment on this. I have chosen not to use cumulative frequency as, even though this would also show the distribution of the data, a box and whisker plot would show the mean, mode, range, upper and lower quartiles and interquartile range in a simpler way that would be easier to understand. A box and whisker plot also allows any outliers to be calculated, making my results more accurate. This would also mean the diagrams will be easier to compare. 7. After drawing the box and whisker plots, I will be calculate the outliers and delete the appropriate values that have caused these outliers. I will then compare the diagrams again and comment on the skew on the diagrams, the range and the median. 8. I will then be able to draw accurate conclusions about my findings. Conclusion For my project, I have investigated the following hypothesis... ...read more.

Conclusion

To improve the accuracy of my investigation, I could have collected all the data myself to ensure that there were no mistakes made, but this would make it harder to keep to my deadline. As I shared the work with two other people, I did not draw all the box and whisker diagrams myself. This meant that the scales were different on some of the diagrams, making them harder to compare. This would only slightly affect my results as I could still easily use the values (for example medians) from each of the box and whisker diagrams to compare the diagrams. To avoid this problem, I could have set scales that everybody was to use on their box and whisker diagrams to make them easier to compare. If I had more time to complete my investigation, I could have used a larger sample, therefore including more data and improving the accuracy of my results. I also could have used other values. To save time, I chose to only use the data from years 7, 9 and 11. I deleted the rest of the data. to improve the accuracy of my results, I could have used the data from years 8 and 10 aswell, but this would have taken longer. I could also have chosen to use all of the data instead of taking a sample, but his would also take a very long time and I would not be able to do this within the time limit that I was given. Overall, I feel that my results are reliable and accurate, and generally my investigation went well. ...read more.

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