• Join over 1.2 million students every month
• Accelerate your learning by 29%
• Unlimited access from just £6.99 per month
• Level: GCSE
• Subject: Maths
• Word count: 3888

# mayfield statistics

Extracts from this document...

Introduction

Handling data   -  Ahmed Al-Rubie 10s

Mayfield High school

Introduction

In this coursework my aim is to develop a statistical investigation.

I will work on the relationship between height, weight and gender.

I will need to collect the information of height and weight of students. One way to achieve this is by using primary data. This is data I have collected myself. The advantage of this is that I can control accuracy and reliability. The disadvantage is that’s its time consuming and I have little access to data. The second method is secondary data. This is work from a database for example. This work may be bias and accuracy cannot be tested/checked but on the other hand, there’s a massive range of data to be accessed and it’s extremely quick and convenient. I will use secondary data which I will get from the edexel website.

However I will first make a hypothesis. I will then take a sample, process the data, show the information graphically and then finally make a conclusion

Theory

1. I think at a younger age girls are taller as they go through puberty earlier then boys as they have their growth spurt before them therefore I believe year 7 girls will be taller then year 7 boys. I also believe this would have turned around by the time everyone reaches year 11.
2. I think that boys are taller and heavier then girls as they

Middle

Mills

Robert

Male

1.63

50

7

Barding

David

Male

1.64

50

7

Bolton

Paul

Male

1.65

69

7

Croft

James

Male

1.65

64

7

Dever

Ben

Male

1.65

52

7

O'Brian

Greg

Male

1.65

50

7

Volly

Chris

Male

1.65

40

7

Hussain

Frederick

Male

1.67

63

7

Choudry

Qamer

Male

1.68

45

9

Rites

Auther

Male

1.43

60

9

Brooder

Andrew

Male

1.46

45

9

Samas

Sam

Male

1.48

43

9

Castle

Daniel

Male

1.55

51

9

Mahmood

Male

1.56

60

9

John

Simon

Male

1.56

60

9

Gunet

Armede

Male

1.60

68

9

Langley

Sam

Male

1.60

40

9

Mayton

Fred

Male

1.60

70

9

Bravendere

Andrew

Male

1.62

40

9

Taylor

Hugh

Male

1.62

52

9

Munir

Asam

Male

1.63

40

9

Marsh

Bubble

Male

1.64

35

9

Creddle

John

Male

1.67

52

9

Durden

Tyler

Male

1.70

85

9

Humza

Asim

Male

1.70

42

9

Seedat

Schel

Male

1.70

50

9

Gibb

Mike

Male

1.75

52

9

Truman

Paul

Male

1.80

42

9

Weed

Zac

Male

1.80

51

11

Smith

Michael

Male

1.52

45

11

Cullen

Sam

Male

1.55

54

11

Francis

Henry

Male

1.58

54

11

Fairfax

Jacob

Male

1.62

51

11

Hawkins

Tim

Male

1.62

63

11

Hughes

Mark

Male

1.65

58

11

Marice

Stuart

Male

1.71

54

11

Browne

William

Male

1.72

58

11

Paul

Niel

Male

1.72

64

11

Perlains

Carl

Male

1.76

62

11

Warne

Michael

Male

1.84

76

11

Brown

Kevin

Male

1.85

73

11

Hope

Steven

Male

1.96

93

11

Male

1.97

84

Hypotheses 1

I earlier stated that I believe in Year 7, girls will be taller than year 7 boys in general whilst year 11 boys will be taller then Year 11 girls in general. I will test this by drawing a box plot graph and showing the inter quartile range which will give us a clearer idea and this should prove my theory correct.

(Graph)

Hypotheses 2

My second hypotheses is that boys, in general, will weigh more then girls because as boys go through puberty, they naturally grow height and with this height, they also gain weight naturally for needs to work such as physical activity.

To do this, I shall create graphs plotting height against weight for boys and girls and comparing these.

Graph 1

To see if there was a positive correlation between height and weight as I had predicted, I plotted my sample results onto a scatter graph and found that the first part of my hypothesis (that there is a positive correlation between height and weight) was not well supported by my results. As you can see, there is relative positive correlation between the two parties. This evidence can lead me to suggest that the taller you are, the heavier you way if you’re a girl. Even though there is slight variation, with the two extremes being on show, we c an still form a conclusion out of this. The line equation suggests that for every meter you grow, you gain approximately 21 kg on average. To see differentiation between girls and boys, I shall now make a graph plotting boy’s height vs. weight and see if there’s a correlation and compare that with the above graph.

Graph 2

As you can see, the correlation is very good as the gradient is quite steep. This evidence can also lead me to suggest that the taller you are, the more you weigh if you’re a boy. However, the line equation suggests that for every meter you grow if you’re a boy, you gain approximately 51 kg on average. This means boys are taller and weigh heavier than girls, thus proving my second hypotheses exact.

I will now advance to work out the product moment correlation (PMC) of each graph so I can see how strong the correlation is for each graph and the difference between the strength of the correlation for boys and girls.

Product Moment Correlation

I will use this to find out how much correlation there is between height and weight for both genders and for all the year groups I am studying. This will hopefully give us a deeper insight into the difference there is between everyone.

I will start by working out the PMC for the girls. The way to do this is by using this table:

 x y x² y² xy Total

Conclusion

I could have improved my investigation by increasing my sample size to create a more accurate result. This might have changed my results but would have taken longer. I also could have obtained primary data because then I could control the accuracy of the data. This would have prevented any anomalies occurring and would have lead to more reliable data being produced.

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.

## Found what you're looking for?

• Start learning 29% faster today
• 150,000+ documents available
• Just £6.99 a month

Not the one? Search for your essay title...
• Join over 1.2 million students every month
• Accelerate your learning by 29%
• Unlimited access from just £6.99 per month

# Related GCSE Height and Weight of Pupils and other Mayfield High School investigations essays

1. ## mayfield high statistics coursework

Modal Weight Stem and Leaf Diagram Boys weight Stem Leaf Frequency 3 4 5 2 8 4 4 3 0 9 1 5 6 7 7 5 6 0 3 9 7 1 6 6 4 0 2 3 7 0 8 0 Key 3 / 4 = 34 kg

2. ## Mayfield. HYPOTHESIS 1: Boys at Mayfield School are Taller and Weigh more on ...

Tally Frequency Mid-point Fx 130?h<140 II 2 135 270 140?h<150 0 145 0 150?h<160 IIIIII 6 155 930 160?h<170 IIIIIIII 8 165 1320 170?h<180 I 1 175 175 180?h<190 III 3 185 555 190?h<200 0 195 0 TOTAL 20 3250 Mean= 3250 Divided by 20 = 162.5 = 163 cm = 1.63m GIRLS Height (cm)

1. ## Mayfield High Statistics Coursework

Boy's height Histogram on graph paper The following histogram and frequency polygon clearly shows me that the most common height is between 1.50?h<1.60 m. However I will not rely on this to support my hypothesis as the data is not evenly distributed.

2. ## Edexcel GCSE Statistics Coursework

The medians lie at the same point- 1.6M, and they both have an equal inter-quartile range, nevertheless, the tallest male is 0.5M taller than the tallest female. As both boxes are of equal size both distributions are equally U-shaped. The box represents the middle 50% of the data sample- half of all cases are contained within it.

1. ## Maths Statistics Coursework - relationship between the weight and height

Here is the plot for the boys' heights. Stem and Leaf Plot showing the boys' heights Stem Leaf 1.3 2,2 1.4 7 1.5 0,2,3,5,5,7 1.6 0,0,0,2,3,5,5,5,6,7 1.7 2 1.8 0,0,5 1.9 1 2 6 Key: for example: 1.3 | 2 = 1.32 metres Here are the series of calculations for the averages that I need to answer my hypothesis.

2. ## Maths Statistics Coursework

I will now do my stratifying sample it's the same as I done it before except this time the sample is less, this means I will get less numbers than before. Year 7 boys - 151/1183 * 100 = 13 I have left out the decimal number and rounded up or down.

1. ## Is there a difference between male and female conversational styles in today's society?

In both cases the males have used questions to gain support from the other participants. Whereas in the female conversation the use of questions have been used to involve listeners. Male Female Mixed Amount of repetition 50 45 56 Repetition The use of repetition varies through the conversations because in

2. ## I will be testing the following hypothesis in my pilot study: ...

1048 55 293 563 857 1035 32 349 617 862 1037 81 355 633 858 1017 45 403 693 885 1076 12 304 680 905 1045 67 392 592 883 1063 68 402 590 838 1072 16 339 674 865 1024 40 342 650 841 1056 119 316 664 836

• Over 160,000 pieces
of student written work
• Annotated by
experienced teachers
• Ideas and feedback to