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• Level: GCSE
• Subject: Maths
• Word count: 1846

# Mayfield High Coursework

Extracts from this document...

Introduction

Tokunbo Adebanjo 11P5                                                                               03/04/2010

Mayfield High Coursework

Mayfield is a fictitious high school, but the provided data is live and raw, and is based on a real school. The data includes year groups, surnames, forenames, genders, IQs, heights, weights and BMIs. I am using all this information to create hypothesises and to investigate them. I will need to sample the data, either using a stratified or random method, or both. I’ll also have to look at problems, and use grouped frequency tables. I’ll also have to decide if the data is continuous or discrete. My data will be presented in line and scatter graphs with box plots.

Selecting sample

The amount of pupils and data is much too large to use, so I will need to pick a reasonably fair sized sample number of pupils. I have decided to use a sample size of 60 students. Since there are different amounts of students in each year group, each year group sample will be slightly different sizes but this has to be sorted in a fair way, so that none of the groups are under- or overrepresented.

Using a stratified

Middle

-0.2025

0.2025

1

1.20≤h<1.30

2

1.25

2.5

-0.35

-0.1225

0.245

3

1.30≤h<1.40

0

1.35

0

-0.25

-0.0625

0

3

1.40≤h<1.50

3

1.45

4.35

-0.15

-0.0225

0.0675

6

1.50≤h<1.60

9

1.55

13.95

-0.05

0.0025

0.0225

15

1.60≤h<1.70

7

1.65

11.55

0.05

0.0025

0.0175

22

1.70≤h<1.80

7

1.75

12.25

0.15

0.0225

0.1575

29

1.80≤h<1.90

1

1.85

1.85

0.25

0.0625

0.0625

30

1.90≤h<2.00

0

1.95

0

0.35

0.1225

0

30

Totals:

30

47.6

Range:

Range of height = highest height – lowest height

The lowest height sampled is 1.19cm.

The highest height sampled is 1.80cm.

1.80 – 1.19 = 61

Therefore, the range is 61cm

Frequency graph and box plots for height

After investigation: Looking at the height CF line graph alone, girls tend to be a little taller than boys. However, the box plots show the boys are the ones who are slightly taller, both ranges being equal but the boys’ box plot is more places to the right than the girls’. This is because the highest boys’ height is more than the highest girls’ height, and vice versa for the lowest heights.

Hypothesis 2: Are boys heavier than girls?

Before investigation: I think that boys will tend to be heavier than girls because of their muscle mass.

Conclusion

Conclusion

After carrying out both investigations, I have come to the following conclusions for each hypothesis:

For hypothesis 1, I had expected boys to be taller than girls, and my box plots do agree with this as boys have a taller range. However, according to the height CF line graph, it is girls that tend to be taller. I could improve the accuracy of my data by repeating the investigation and taking more samples.

For hypothesis 2, I predicted that since boys are probably taller than girls, they would be heavier as well. My box plots do show that boys have a bigger range of weight, but it is girls that are heavier in the CF line graph. I could improve the accurateness of this investigation by doing it again and taking more samples.

From this coursework, I have learned how use random and stratified sampling in an investigation to find out averages and ranges. Also, I have learned how to apply these sampling methods to a weight and height investigation. Furthermore, I have found that CF line graphs and box plots do not always agree with the highest value.

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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