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  • Level: GCSE
  • Subject: Maths
  • Word count: 7305

Mayfield High School

Extracts from this document...

Introduction

Statistics Coursework                                      Statistics

Statistics Coursework – Higher Tier

Introduction

This is a Statistics Coursework which is based upon Mayfield High School. I have predicted three hypotheses from which I must decide whether they are true or false.

Hypotheses

Hypothesis 1:Males are taller than females

My first hypothesis is that the male students on average will be taller than the female students. I believe this because in general males grow taller than females and grow until a later age, e.g. most males continue to grow until they are 21, whereas most females only grow until they are 18. The data that is required to test this Hypothesis is the heights of all years from 7-11 of both male and female students that attend Mayfield High School. This means that I will be using secondary data. I will first investigate this hypothesis by deciding whether my distribution is normal or skewed. I will use Grouped Frequency tables, Estimated Mean tables, Estimated Standard Deviation tables, Histograms and Box and Whisker plots to test this data.

Hypothesis 2:The taller you are the heavier you are

My second hypothesis is that the taller you are the heavier you are. I believe this because in general the taller in height you are the more body mass you will have and usually you will weigh more than people that are smaller than you. For this hypothesis I will use the same given data but instead of just using the heights of all the students I will also have to include their weights as well. Again this means that I will be using secondary data. I will use a scatter diagram to test this data.

Hypothesis 3:     The more television you watch the larger the BMI

My third Hypothesis is that the more television that you watch the larger your Body Mass Index (BMI) will be.

...read more.

Middle

Improvements

Firstly, I need to improve upon this Pilot Survey questionnaire by making the questions more detailed and by including more options to prevent them from being open-ended and making them closed. Also, if I include the units in the questions then the person being questioned knows exactly what to answer with and doesn’t become confused. For example, instead of simply asking “What is your height?” I can ask: “What is your height in metres?” Without this slight correction they may answer in centimetres, millimetres or feet. This ensures that the answers that I receive are relevant so they can be correctly analysed and so I can include it within my Coursework.

Final Survey

  1. What is your full name?  …………………………………………………………..
  1. Which year group in Secondary school are you in? (Tick only ONE box)

Year 7          Year 8          Year 9          Year 10          Year 11  

  1. What is your height in metres? (Please select only ONE option)

1.20 – 1.30          1.31 – 1.40          1.41 – 1.50          1.51 – 1.55          1.56 – 1.60          

1.61 – 1.65          1.66 – 1.70          1.71 – 1.80          1.81 – 2.00          2.01 – 2.10

  1. What is your weight in kilograms (kg)? (Only select ONE preference)

35 – 40          41 – 45          46 – 50          51 – 55          56 – 60          61 – 65          66 – 70          

71 – 75          76 – 80          81 – 85          86 – 90

  1. How many hours of television do you watch a week? (Please tick only ONE box)

Less than 5          5 – 10          11 – 20          21 – 30          31 – 40          41 – 50          51 – 60          

61 – 70          71 – 80          81 – 90          Over 90

Hypothesis 1:Males are taller than females

My first hypothesis is that the male students on average will be taller than the female students. I believe this because in general males grow taller than females and grow until a later age, e.g. most males continue to grow until they are 21, whereas most females only grow until they are 18. The data that is required to test this Hypothesis is the heights of all years from 7-11 of both male and female students that attend Mayfield High School. This means that I will be using secondary data. I will first investigate this hypothesis by deciding whether my distribution is normal or skewed.

...read more.

Conclusion

image02.png

Overall Conclusion for Hypothesis 2

The results from the table of correlation coefficients from the scatter diagrams supports my hypothesis that the taller you are the heavier you are. This is because there were five year groups that had positive correlation, whereas there were three with no linear correlation and two with negative correlation.

Hypothesis 3

The more TV you watch the larger your BMI (Body Mass Index)

In this section I will be calculating the BMI (Body mass index) of all of my samples, which I will use with number of TV hours watched to create scatter diagrams and work out Spearman’s Rank Correlation Co-efficient. Here are my samples with the extra column stated BMI.

Year

Surname

Gender

TV

Height

Weight

BMI

7

Benjamin

Female

12

1.63

45

16.94

7

Carney

Female

14

1.50

44

19.56

7

Croft

Female

10

1.54

40

16.87

7

Dodman

Female

18

1.25

35

22.40

7

Harding

Female

24

1.55

40

16.65

7

Hullston

Female

10

1.62

51

19.43

7

Jones

Female

10

1.75

47

15.35

7

Lloyd

Female

50

1.48

34

15.52

7

Miller

Female

32

1.59

32

12.66

7

Ormsby

Female

35

1.42

52

25.79

7

Shikotra

Female

100

1.56

43

17.67

7

Talbert

Female

35

1.60

47

18.36

7

Whitworth

Female

12

1.52

40

17.31

7

Alexander

Male

10

1.59

45

17.80

7

Bingh

Male

14

1.56

35

14.38

7

Butt

Male

12

1.62

49

18.67

7

Colins

Male

23

1.48

35

15.98

7

Dean

Male

22

1.58

59

23.63

7

Hagrid

Male

17

1.75

62

20.24

7

Hussain

Male

17

1.67

63

22.59

7

Langly

Male

15

1.50

40

17.78

7

Mamood

Male

12

1.67

60

21.51

7

McKracken

Male

10

1.58

48

19.23

7

Parker

Male

15

1.54

42

17.71

7

Sayers

Male

10

1.54

40

16.87

7

Spencer

Male

4

1.55

65

27.06

7

Titly

Male

13

1.60

60

23.44

7

White

Male

20

1.62

42

16.00

8

Angus

Female

15

1.55

50

20.81

8

Biffle

Female

12

1.63

42

15.81

8

Cassel

Female

5

1.48

46

21.00

8

Dickenson

Female

18

1.25

35

22.40

8

Grant

Female

19

1.50

57

25.33

8

Healy

Female

13

1.67

52

18.65

8

Houseson

Female

14

1.60

64

25.00

8

Kay

Female

23

1.63

47

17.69

8

Lomas

Female

35

1.56

54

22.19

8

Mohammed

Female

9

1.60

57

22.27

8

Parmer

Female

22

1.54

57

24.03

8

Smith

Female

49

1.68

52

18.42

8

Adam

Male

18

1.77

54

17.24

8

Barlow

Male

20

1.62

53

20.20

8

Burn

Male

4

1.60

36

14.06

8

Colt

Male

28

1.68

45

15.94

8

Dempsey

Male

10

1.83

64

19.11

8

Gez

Male

8

1.65

40

14.69

8

Harris

Male

20

1.63

45

16.94

8

Jones

Male

48

1.72

46

15.55

8

Long

Male

14

1.54

48

20.24

8

Mevine

Male

15

1.50

50

22.22

8

Pageson

Male

19

1.61

54

20.83

8

Royale

Male

32

1.25

61

39.04

8

Smith

Male

20

1.55

74

30.80

8

Turner

Male

13

1.60

49

19.14

8

Wilson

Male

21

1.53

32

13.67

9

Ashworth

Female

16

1.6

48

18.75

9

Border

Female

22

1.57

38

15.42

9

Burn

Female

26

1.6

46

17.97

9

Catwell

Female

18

1.58

55

22.03

9

Dover

Female

100

1.8

57

17.59

9

Guzman

Female

14

1.75

65

21.22

9

Hulme

Female

10

1.62

58

22.10

9

Kalidas

Female

12

1.62

41

15.62

9

Lloyd

Female

12

1.52

41

17.75

9

Morrison

Female

17

1.62

54

20.58

9

Power

Female

12

1.66

45

16.33

9

Sandy

Female

35

1.69

42

14.71

9

Smith

Female

45

1.59

45

17.80

9

Victoria

Female

16

1.58

55

22.03

9

Agha

Male

16

1.66

54

19.60

9

Bean

Male

15

1.55

50

20.81

9

Butt

Male

24.5

1.61

38

14.66

9

Edwards

Male

8

1.60

58

22.66

9

Gunet

Male

11

1.60

68

26.56

9

Hodgson

Male

14

1.50

39

17.33

9

John

Male

20

1.56

60

24.65

9

Langley

Male

10

1.60

40

15.63

9

Mayton

Male

20

1.60

70

27.34

9

Rites

Male

2

1.43

60

29.34

9

Slone

Male

15

1.58

50

20.03

9

Vasel

Male

22

1.55

67

27.89

Year

Surname

Gender

TV

Height

Weight

BMI

10

Barn

Female

10

1.40

45

22.96

10

Brown

Female

20

1.56

56

23.01

10

Dean

Female

3

1.70

50

17.30

10

Grimshaw

Female

10

1.63

72

27.10

10

Johnson

Female

9

1.72

45

15.21

10

Long

Female

15

1.74

47

15.52

10

Owen

Female

6

1.41

55

27.66

10

Simons

Female

10

1.58

45

18.03

10

Tahir

Female

36

1.67

48

17.21

10

Abejurouge

Male

42

1.63

60

22.58

10

Bilton

Male

15

1.55

64

26.64

10

Bushley

Male

18

1.75

68

22.20

10

Dolt

Male

28

1.60

47

18.36

10

Hardy

Male

12

1.79

75

...read more.

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