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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.

...read more.

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

...read more.

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

...read more.

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