Is it is impossible to look at the whole school population I will take a sample of 4% of 1200 is (4X1200)/100=48 students. Because there are different student in each year and to have a fair representation of boys and girls I will do a stratified sample.
Year 7
Boys =150 X 48 =6
1200
Girls=150 X 48 = 6
1200
Year 8
Boys=145 X 48 =5.8
1200
Girls=145 X 48 =5.8
1200
Year 9
Boys=120 X 48 =4.8
1200
Girls=120 X 48 =4.8
1200
Year 10
Boys=100 X 48 =4
1200
Girls=100 X 48 =4
1200
Year 11
Boys=86 X 48 =3.44
1200
Girls= 86 X 48=3.44
1200
I will round my answers to the nearest person because I cannot have 3.44 students.
I will take the following number of students from each year.
Year 7: 6 boys and 6 girls.
Year 8: 6 boys and 6 girls.
Year 9: 5 boys and 5 girls.
Year 10: 4 boys and 4 girls.
Year 11:3 boys and girls.
Data collection
To collect my data, I will first sort the data in terms of year group and collect the first students required from each year group.
The following table represents the whole school sample that I will be using during this project.
- Interpret and discuss your results
I will use scatter diagram as it will allow me to study the relationship between the height and weight of the student in my sample. I will draw three separate scatter diagram; one for the whole school sample, one for the boys and one for the girls.
The above scatter diagram represents my whole school sample it shows a weak positive correlation. This is due to the fact that most of the data on the graph follow the same trend as the one of the line that best fit.
The above scatter diagram represents the height and the weight of the girls in my school sample it is still showing a weak positive correlation. This is due to the fact that most of the data on the graph follow the same trend as the one of the line that best fit.
The above scatter diagram represents the boys in my whole school sample it shows a weak positive correlation. This is due to the fact that most of the data on the graph follow the same trend as the one of the line that best fit.
The next stage of my project is to compare the averages for the height and the weight of the boys and the girls. I have used excel to work out these averages (Function). The following table shows my findings.
The mean of the height of boys is 1.62m and the girls are 1.60m. This means that the boys are slightly taller than the girls. The mean of the weight of boys is 52 kg and the girls are 50 kg. This means that the boys are slightly heavy than the girls.
The range’s height of the girls is greater than the range’s height of the boys. This means that height of the boy is less spread out than the height of the girls. The range’s weight of the boys is greater than the range’s of the girls. This means that the weights of the boys are more spread out than the weight of the girls.
To have a better idea of the spread of the data I am going to draw a back-to-back steam and leaf diagram for the height and the weight of boys and girls in my samples.
Key 4/5 means 45 kg.
The above back-to-back steam and leaf diagram shows that most of the girls‘s weight is spread out between 40 kg and 66 kg.
The above back-to-back steam and leaf diagram shows that most of the boy’s weight is spread out between 40 kg and 66 kg.
Key 1.6/7 means 1.67m
The above back-to-back steam and leaf diagram shows that most of the girl’s height is spread out between 1.52m and 1.67m.
The above back-to-back steam and leaf diagram shows that most of the boy’s height is spread out between 1.5m and 1.77m.
