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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.

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.

Conclusion

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

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