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  • Level: GCSE
  • Subject: Maths
  • Word count: 3120

To carry out this investigation I will look at the boys' and girls' height from year 7 to 11 and see how their weight and height changes throughout the years.

Extracts from this document...

Introduction

Math Coursework – Statistics

Introduction:


Mayfield High School does not exist, however the data given is real.

I downloaded the data off the internet. Since I didn’t collect it myself, it is only secondary data which means that there might be some anomalous data.

In Mayfield High School, there are 1183 students.

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

Total 604

Total 579

Total 1183

I chose to investigate into the body weight and height of boys and girls from year 7 to 11 and how it develops from year 7 to 11.

To carry out this investigation I will look at the boys’ and girls’ height from year 7 to 11 and see how their weight and height changes throughout the years.

Hypothesis:

I predict that:

    -   Tall students weigh more than short students.

        As people grow taller, their weight will increase.

  • girls in year 7 are more likely to be taller than boys in year 7
  •  boys in year 11 are more likely to be taller than in girls in year 11
  • As students get older, their height will increase as well.

Collecting Data
The data I am given, comes from a site from the internet, that was specially designed for this statistical coursework and I used this information, because it was easier for me since I didn’t have to find out all the data by myself.
So the information provided is secondary information.

...read more.

Middle

1.51 – 1.60

3

5

2

4

4

6

5

2

1

1.61 – 1.70

4

5

2

4

1

3

3

6

6

1.71 – 1.80

4

1

1

1

1

2

3

2

1

1.81 – 1.90

2

1

1.91 – 2.00

image00.png

2

2.01 – 2.1

This table shows a pattern.  As the age increases, the height increases as well. This supports my prediction, as students get older, their height increases.

A line of best fit can be added, that shows a downward gradient.

Weight in kg

Y7 girls

Y7 boys

Y8 girls

Y8 boys

Y9 girls

Y9 boys

Y10 girls

Y10 boys

Y11 girls

Y11 boys

31 – 40

5

41 – 50

4

3

1

3

2(1)

1

1

51 – 60

4

4

6

2

3

3

1

4

2

61 – 70

3

5

3

3

3

4

3

5

4

71 – 80

1

2

2

2

3

1

1

80 – 90

2

1

90 - 100

1

101 - 110

1

1

Also this table shows a pattern that is more clear than the other table’s pattern.

Students’ weight increases as they get older. This is shown by the distributed frequencies of the boys in year 11.

Also here I can draw a line of best fit on this table, which will show a   downward gradient as well.image01.png

Conclusion

Here is an overview of the results I have obtained, related to my hypotheses:

  “Tall students weigh more than short students.

        As people grow taller, their weight will increase. “

This is true, as it can be seen one my histograms and also on my tables of the grouped data for all the year groups.

“Girls in year 7 are more likely to be taller than boys in year 7”

This statement is also true, which is proved on my histogram, where boys height of year 7 is compared to the girls height of year 7.

This is because the growth spurt of the girls takes place in the earlier stages of life as the growth spurt of the boys, who catch a few years later only.

...read more.

Conclusion

>Male

1.48

40

8

Drayton

Benjamin

Male

1.55

43

8

McCarthy

Samuel

Rupert

Male

1.32

48

9

Billard

Hailey

Billie

Female

1.63

52

9

Kennedy

Rose

Ann

Female

1.61

38

9

Hulme

Louise

Katie

Female

1.62

58

9

Gordon

Cicila

Ruby

Female

1.7

47

9

Mohammed

Kiran

Female

1.58

36

9

Tucker

Jayde

Kay

Female

1.57

40

9

Caby

Karen

Erin

Female

1.55

66

9

Taylor

Donna

Leigh

Female

1.76

60

9

Burn

Suzanne

Female

1.6

46

9

Lewis

Rosie

Jane

Female

1.5

65

9

James

Jordan

Callum

Male

1.70

47

9

Taylor

Hugh

Male

1.62

52

9

Wood

Adam

Male

1.67

6

9

John

Simon

Male

1.56

60

9

Brooder

Andrew

John

Male

1.46

45

9

Johnson

James

Male

1.51

40

9

Hazelwood

David

Male

1.70

65

9

Parana

William

Gareth

Male

1.74

61

9

Humza

Asim

Male

1.70

42

9

Weed

Zac

Male

1.80

51

10

Butt

Sania

Parveen

Female

1.65

54

10

Eden

Laura

Female

1.53

65

10

Edwards

Julie

Female

1.63

54

10

Hamilton

Jo

Female

1.73

65

10

Hosier

Laura

Abby

Female

1.73

42

10

Khaliq

Nazia

Female

1.62

48

10

Magi

Zoe

Female

1.57

60

10

Mitchelle

Kiran

Female

1.58

36

10

Morrison

Nichole

Simmone

Female

1.63

48

10

Rogers

Jade

Louise

Female

1.65

59

10

Brown

Thomas

Andrew

Male

1.63

40

10

Knott

Mark

Male

1.75

65

10

Jones

Nathan

David

Male

1.54

76

10

Bushley

George

Wayne

Male

1.75

68

10

Leech

Alistair

Male

1.65

55

10

Air

Jason

David

Male

1.90

70

10

Petit

Neil

Martin

Male

1.80

54

10

Leavy

Thomas

Male

1.72

71

10

Agha

Shohaib

Male

1.66

70

10

Dolt

Anthony

Male

1.60

47

11

Kelly

Sarah

Female

1.65

60

11

Ratty

Louise

Jade

Female

1.53

59

11

Wilson

Charlene

Astley

Female

1.63

48

11

Barlow

Louise

Jane

Female

1.73

44

11

Fillstin

Rowena

Carroll

Female

1.73

48

11

Berry

Shelly

Laura

Female

1.62

64

11

Dorn

Shelly

Michelle

Female

1.57

45

11

Ableson

Anbigale

Angela

Female

1.58

60

11

Durst

Francesca

Celine

Female

1.63

60

11

Flawn

Elise

Female

1.65

51

1.70

11

Fairfax

Jacob

James

Male

1.62

51

11

Shaheen

Molandar

Zahir

Male

1.63

59

11

Chidgley

Steven

Male

1.62

52

11

Fasworth

John

Male

1.79

72

11

Hossany

Selim

Waseem

Male

2

86

11

Justice

Tony

Philip

Male

1.67

60

11

Hope

Steven

Richard

Male

1.96

93

11

Khan

Assad

Male

1.68

63

11

Burges

Edward

Lee

Male

1.32

45

11

Donald

Adam

Michael

Male

1.61

47

...read more.

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