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  • Level: GCSE
  • Subject: Maths
  • Essay length: 2767 words

elationship exists or can be established between the height and weight of students

Extracts from this essay...

Introduction

GCSE Mathematics Coursework Aim The aim of this investigation is to distinguish if a relationship exists or can be established between the height and weight of students ageing from 12 yrs to 16 yrs in year groups 7 to 11 in a mixed in a boys and girls school. To execute this investigation I have to acquire information from Mayfield School survey, this will provide me with the relevant data which will be interrogated and analysed to investigate the hypothesis. Prediction The hypothesis for this investigation, in relation to the aim, is that the taller the person the heavier their body weight for both boys and girls. But that this proportion is different between girls and boys. The ratio of weight to height is lower for girls than for boys. This overall prediction may show anomalies which may contradict the hypothesis. Method The method used in this investigation will consist of the following processes.; 1. Firstly I will gather the relevant information from the Mayfield survey and put the data into order for every year group by gender. The summary results are shown in the Table 1 Year Group Number of boys Number of girls Total 7 151 131 282 8 145 125 270 9 118 143 261 10 106 94 200 11 84 86 170 Total number of pupils 1183 Table 1 - gender by year group 2. I will be using a random selection of 150 pupils from the Mayfield survey; I chose this number because it represents the average class size for a typical school for 5 year groups.

Middle

1.60 50 10 Agha Shohaib Male 1.66 70 10 Bennet Norman Male 1.75 56 10 Brown Thomas Male 1.63 40 10 Carmichael Ryan Male 1.70 60 10 Dolt Anthony Male 1.60 47 10 Hawks Tony Male 1.77 59 10 Hunt Gareth Male 1.72 62 10 Jones Lee Male 1.75 59 10 Larry Liam Male 1.65 47 10 Leavy Thomas Male 1.72 71 10 McDonald Harold Male 1.62 50 10 McManus Anthony Male 1.73 50 10 Ray Adam Male 1.80 40 10 Smith Arnold Male 1.54 54 10 Tison Wilfred Male 1.80 72 Random selection for Year 11 Year Group Surname Forename 1 Gender Height (m) Weight (kg) 11 Ali Amera Female 1.62 56 11 Berry Shelly Female 1.68 54 11 Biddle Vicky Female 1.56 50 11 Butt Paveen Female 1.65 54 11 Calik Nadia Female 1.68 48 11 Dion Dawn Female 1.68 47 11 Flawn Elise Female 1.62 51 11 Hakins Danielle Female 1.03 45 11 Iilyas Ameri Female 1.62 48 11 Kelly Freda Female 1.60 45 11 McCreadie Billie Female 1.63 38 11 McMorrison Victoria Female 1.65 52 11 O'Donall Megan Female 1.33 55 11 Thomson Jade Female 1.52 48 11 Wilson Charlene Female 1.65 48 11 Black Kevin Male 1.86 56 11 Brown Kevin Male 1.85 73 11 Cullen Sam Male 1.55 54 11 Shaheen Molandar Male 1.63 59 11 Hossany Selim Male 2 86 11 Jaesie Rispect Male 1.74 50 11 Lee Brett Male 1.83 75 11 Major William Male 1.8 68 11 McDonald James Male 1.62 50 11 Oliver Marcus Male 1.57 49 11 Powers Alan

Conclusion

It showed males were sometimes unstable especially at younger ages than respective females' heights between the range 1.4m - 1.8m and 30-70kg. Females have a similar spread of height as boys but their overall range of weight for respective year groups is much less i.e. boys have a larger weight range than girls of the same year group. The regression line for males varies much more than females this is reflective of the larger mean averages for boys. For all the females from years 7 to 11 had either positive correlation or no correlation at all, girls tended to follow the general idea that the taller you are the heavier you are. For all males from years 7 to 11 had positive correlation apart from one year where we could say that we were shown negative correlation, year 9 males did not fit the general term where we have someone that is 1.55m tall and weights 67kg (approx) and someone who is 1.80m and weights 42kg (approx) this results in a negative gradient. I later went on to see if there was a relationship between every female and every male, I found that there was stronger correlation within female as every pupil was close and compact and there was a fairly strong correlation within boys but still a couple of pupils did not fit the trend. A larger sample would provide a greater level of confidence in the analysis as relying upon a random selection can only provide a certain level of mathematically based confidence All my work was carried out using Microsoft Word and Excel. ?? ?? ?? ?? Tanveer Virdee 11G3 October 2004 1 of 10

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