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• Level: GCSE
• Subject: Maths
• Word count: 1983

Height and weight of pupils

Extracts from this document...

Introduction

Handling data Coursework September 2004

I am carrying out an investigation to analyse a sample of data containing the height and weight of Year 10 & 11 boys and girls at Mayfield high school.

I am using the data from Mayfield high school as I am unable to use data from Nabwood School. This is because although the school has a database system, information regarding height and weight of year 10 and 11 students will not be accurate as it was taken when students came to the school in year 7,  which was three or four years ago (if they are now in years 10 and 11). Therefore to try and update the database with the latest height and weight of year 10 and 11 students would be difficult and time consuming, and I do not have very much time to complete the investigation. Using a secondary source (Mayfield high school) which already happens to have accurate and up - to date data will be much easier to use but also will give more accurate results or conclusions to this investigation.

The aim is to find connections, links, similarities or differences between heights and weight of boys and girls in years 10 and 11 at Mayfield high school.

The sample which will be analysed is:-

29 Males in year 10

25 females in year 10

23 Males in year 11

23 females in year 11

These numbers have been taken randomly without any bias or unfairness.

Middle

1st the sample of 100 students’ height and weight has been split up and put into the form of a table, So that boys and girls and also year 10 and 11 are separate from each other. This will make it easier for me to compare the boys with the girls and also to compare the 2 year groups with each other. This will be ideal for me as when I come to make a firm conclusion for hypotheses 2, 3 & 4 where I will NEED TO compare gender and year groups.

The sample of 100 students which have already been put into four tables have then been categorised according to different heights and weights within their table. The different categories for each group of students have simply been made by looking the tallest and shortest students or heaviest and lightest students and grouping the other students sensibly using tallest and shortest students or heaviest and lightest as the limit or maximum and minimum’s.

These tables which have categorised the students are called frequency tables.

The frequency of the number of students in each category of height and weight has been recorded for each gender, along with the mid point of each category of data and the FX which is the mid point and frequency multiplied together. Using the totals of each set of data a mean (type of average) result can be worked out for each table.

Conclusion

The next task is to do the scatter graphs these use the original data of the 100 students being analysed. Height is to be plotted opposite weight, So that it can be seen whether there is a positive correlation between height and weight, or not.

The scatter graphs show us that there is a positive correlation between height and weight and apart from a few inequalities height and weight of boys and girls is spread closely together. From these graph’s we can also draw a line of best fit.

The straight line comfortably fits through the data; hence a linear connection exists. The scatter around the line is quite small, so there is a strong linear relationship. The slope of the line is positive, small values of height correspond to small values of weight; large values of height correspond to large values of weight, so there is a positive correlation between height and weight. This proves hypothesis A correct.

Overall having completed the investigation it can be said that all mathematical calculations that were done to prove my hypothesis right, proved the hypothesis to be correct.

Evaluation

I feel that my investigation was accurate and worthwhile as it has told us something about my hypotheses, however I feel the investigation could have been more accurate had we also investigated and combined these results with patterns or reasons for growth in height and weight for boys and girls in years 10 and 11 (in the way we have found they do in this investigation), using other information from secondary sources such as medical or health organisations.

This student written piece of work is one of many that can be found in our GCSE Height and Weight of Pupils and other Mayfield High School investigations section.

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