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  • Level: GCSE
  • Subject: Maths
  • Word count: 2973

Mayfields data handling

Extracts from this document...

Introduction

Mayfield’s high school: GCSE Mathematics

image00.png

Introduction

In this coursework I will be investigating the contrast between girls and boys from years 11 and 7, in height and weight.  I am going to be using various methods to verify my hypothesis including producing graphs and diagrams.  I will be collecting my samples from Mayfield’s secondary school and will also be using stratified sampling to get accurate results from the samples.  I will then be putting the samples in to a series of graphs mainly scatter diagrams and cumulative frequency graphs as this will help me verify my hypothesis.

Hypothesis

In this investigation I predict that as the height of a pupil increases so     will the weights of the pupil.  I also think that as the males get older they will have a greater height and weight than the females.  But the females will have a greater height and weight than the males when they are younger; I feel this is due to the variations in puberty between males and females.      

Stratified sampling

The sampling method I am going to be using is stratified sampling.  This type of sampling involves calculations unlike random and quota sampling which do not use a stratified approach to sampling.

...read more.

Middle

Boyoh

Jake

Male

1.54

43

7

Brann

Jamle

Male

1.73

53

Year 9 Samples KS3 (key stage three)

Year Group

Surname

Forename 1

Gender

Height (m)

Weight (kg)

9

Ali

Aisha

Female

1.52

45

9

Ali

Hannah

Female

1.62

52

9

Al-Jiboun

Tarah

Female

1.8

60

9

Amjad

Samia

Female

1.55

36

9

Aneillz

Christina

Female

1.53

65

9

Ashworth

Samantha

Female

1.6

48

9

Atkins

Patience

Female

1.57

40

9

Bagnall

veronica

Female

1.49

37

9

Barlow

Billie

Female

1.62

49

9

Barlow

Sandra

Female

1.64

55

9

Bellfield

Janet

Female

1.58

40

9

Bennett

Susan

Female

1.6

41

9

Bertwistle

Laura

Female

1.48

47

9

Billard

Hailey

Female

1.63

52

9

Boneheyo

Olivia

Female

1.65

49

9

Border

Lucy

Female

1.57

38

9

Edwards

John

Male

1.60

58

9

Elliot

William

Male

1.65

50

9

Ether

Paul

Male

1.53

45

9

Fagg

Simon

Male

1.75

60

9

Fenton

Aaron

Male

1.85

55

9

Gibb

Mike

Male

1.75

52

9

Glenn

Edward

Male

1.48

40

9

Gorst

Lee

Male

1.44

49

9

Gregory

Andrew

Male

1.82

66

9

Grimshaw

Chris

Male

1.70

50

9

Gunet

Armede

Male

1.60

68

9

Hall

Patrick

Male

1.60

55

9

Handergon

Ben

Male

1.58

50

9

Hardy

Matt

Male

1.70

47

Year 11 samples KS4 (key stage four)

Year Group

Surname

Forename 1

Gender

Height (m)

...read more.

Conclusion

                                                                                                                                                        Upper Quartile= 166

                                                                                                                                                         Interquartile range= 18

I have noticed that the highest increase was in frequency between {1.5<x<1.6} and {1.6<x<1.7} (16-4=12) and therefore this is the most common height, whereas between {1.8<x<1.9} and {1.9<x<2.0} the difference was 1 (30-29=1) and this was the least increase in height and therefore the least common.

image09.png

Lower Quartile= 37

Median= 42

Upper Quartile= 48

Interquartile range= 11

I have noticed that the highest increase was in frequency between {40<x<50} and {50<x<60} (21-5=16) and therefore this is the most common weight, whereas between {70<x<80} and {80<x<90} the difference was 1 (30-29=1) and this was the least increase in weight and therefore the least common.

From my investigation in the year 11 height and weight using cumulative frequency I have found out that the most common height is between 160cm to 170cm and the most common weight is between 50 and 60 kg.


Evaluation of Hypothesis

In my opinion I feel that my investigation was successful, I believe that the evidence that I have proved successfully was key to my investigation and inevitably I have proved that my prediction was correct. Even though I could not evaluate all the students heights and weight I still believe that the trends that I discovered would be repeated if I extended my sample would be the same. In general I believe my hypothesis was correct.

Candidate Name: Ryan Crilly  Candidate number: 3040  Centre Number: 30104

...read more.

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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