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• Level: GCSE
• Subject: Maths
• Word count: 4314

# I will base my investigation on heights and weights. Furthermore, I will be making 6 hypotheses which will be based on previous knowledge.

Extracts from this document...

Introduction

Statistics Coursework

Mayfield High School

I am going to develop a statistical investigation and an enquiry which is set on data from a fictitious high school called Mayfield. Furthermore, this data was provided.

 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

Firstly, the total number of students at the school is 1183.

A lot of information on the students is available on the computer such as the name of the student, the age, year group, IQ, weight and height.

I will base my investigation on heights and weights.

Furthermore, I will be making 6 hypotheses which will be based on previous knowledge.

Hypothesis

1. I think that the taller the girl the heavier they will be. I have noticed this at my school. It will range between different year groups.
2. I think that the taller the boy, the heavier he will be. I have noticed this at my school.
1. I think that as the younger the student, the less their weight. I have noticed this at my school. I think this because the boys haven’t gone into growth spurt yet and grown as much.
2. I think that the older the student the taller they will be. This is because once in puberty they grow very quick and more the weight.
3. I think the boys will be taller than the girls.
4. I think that the boys will be heavier than the girls.  I have learnt this from my school.

I have chosen these hypothesises because I have noticed these at my school and these hypotheses seem to be true.

I will try to prevent being bias and make everything fair. To start the enquiry, I will be collecting a random sample of data. A random sample will prevent bias.

Middle

F

1.75

50

334

F

1.6

46

301

F

1.65

52

447

F

1.54

54

545

F

1.45

51

426

F

1.62

46

400

F

1.56

45

371

F

1.63

42

377

F

1.69

61

412

F

1.59

52

429

F

1.66

50

431

F

1.72

43

542

F

1.65

58

497

F

1.61

52

282

F

1.55

42

317

F

1.62

46

Year 9:

 Year 9 Boys Pupil No. Gender Height Weight 663 M 1.7 47 798 M 1.6 48 572 M 1.71 68 726 M 1.52 54 657 M 1.6 55 579 M 1.61 60 619 M 1.74 57 662 M 1.72 62 658 M 1.58 50 679 M 1.7 50 793 M 1.75 52 642 M 1.65 50 776 M 1.56 60 654 M 1.59 68 811 M 1.67 54 623 M 1.65 55 681 M 1.67 42 704 M 1.6 40 797 M 1.64 59 Year 9 Girls Pupil No. Gender Height Weight 749 F 1.53 57 711 F 1.62 48 569 F 1.51 48 757 F 1.53 48 753 F 1.62 42 714 F 1.63 52 812 F 1.65 48 694 F 1.68 36 557 F 1.5 65 718 F 1.62 54 614 F 1.8 62 656 F 1.2 42 777 F 1.57 52 669 F 1.57 40 743 F 1.58 55 627 F 1.75 56 806 F 1.58 36 766 F 1.58 40 562 F 1.51 48 616 F 1.61 38 773 F 1.5 45 723 F 1.53 58 763 F 1.67 48

Year 10:

 Year 10 Boys Pupil No. Gender Height Weight 50 M 1.57 40 16 M 1.75 56 71 M 1.55 50 157 M 1.67 44 83 M 1.85 70 196 M 1.62 57 65 M 1.65 50 185 M 1.84 62 183 M 1.63 50 82 M 1.79 75 137 M 1.75 57 122 M 1.7 59 11 M 1.66 66 103 M 1.66 63 41 M 1.65 64 48 M 1.55 57 193 M 1.5 65 Year 10 Girls Pupil No. Gender Height Weight 22 F 1.73 51 99 F 1.67 57 72

Conclusion

“Boys heights and weights are very closely related”

This is proven in the scatter graphs I inserted above when I inserted the line of best fit as it follows a similar proportional ratio – as height increased weight also does.

“Girls heights and weight show very little correlation”

Again referring to the scatter graphs inserted when I collated the two factors together, the KS3 Girls shows a very weak positive correlation and the KS4 Girls show a negative correlation.

“The age can also affect these results especially in girls”

As shown above again in the scatter graph the ks3 Girls show a very weak positive correlation, however the KS4 Girls show a negative relationship. Furthermore comparing these results to the boys this emphasises this point.

Evaluation

In this piece of coursework, I have learnt that predictions are not always right and that to make sure that I follow up every thing that I predict to make sure it is correct. I feel if I was to do the coursework again, I will definitely improve my hypothesis and try to make every thing accurate as possible.

Overall, I enjoyed doing this coursework and learnt a lot of valuable skills in doing so and I have established that there is relationship between people’s heights and their weights. My knowledge of Microsoft Excel has increased, and I have learnt how to use the Scatter Graph software.

I completed the scatter graphs, histograms and charts in quick succession and then followed them up with a explanation of the charts and what they showed.

To conclude, I feel I have completed this coursework to the best of my ability, without the help of anyone apart from my maths teacher.

By Ahsan Ahmed

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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