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• Level: GCSE
• Subject: Maths
• Word count: 1741

# To start of with I picked out three hypotheses: Boys weigh more than girls. Taller the person heavier they will be ie they are positively correlated Boys are taller than girls

Extracts from this document...

Introduction

Mayfield High School

Mayfield High is a fictitious High school but the data presented is based on a real school.

To start of with I picked out three hypotheses:

• Boys weigh more than girls.
• Taller the person heavier they will be ie they are positively correlated
• Boys are taller than girls

To prove these hypotheses are true I am going to use a number of different graphs and other information to help me. I am going to use scatter graphs to check for correlation. Histograms and cumulative frequency graphs to compare the distributions and box plots for a more accurate comparison of how far spread apart the data is,  to compare medians quartiles etc.

The total of number of students at the school is 1183:

 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

I decided to sample randomly 60 students to do my investigation on. I decided to only use 60 students as I think that it is a reasonable amount of students for my investigation.

Middle

Slater

Charlotte

Louise

Female

1.71

59

923

10

Ashiq

Azra

Female

1.60

56

949

10

Fawn

Attoosa

Female

1.73

45

987

10

Pudee

Martha

Female

1.80

50

996

10

Skully

Felicity

Jane

Female

1.60

54

1005

10

Taylor

Elizabeth

Jane

Female

1.60

55

1100

11

Alexander

Claire

Female

1.60

54

1127

11

Feehily

Christina

Jean

Female

1.72

60

1146

11

Kelly

Freda

Jane

Female

1.60

45

1182

11

Wilson

Charlene

Astley

Female

1.65

48

9

7

Andrew

Sohail

Farooq

Male

1.50

41

11

7

Asam

Ali

Raza

Male

1.36

38

33

7

Chavies

Andrew

Brown

Male

1.59

52

52

7

Gibson

David

Male

1.50

50

55

7

Gregory

John

Male

1.47

41

106

7

Parker

Fred

Paul

Male

1.53

48

110

7

Pearce

Stuart

Male

1.50

34

123

7

Smith

Amrit

Singh

Male

1.52

54

293

8

Barlow

Paul

Daniel

Male

1.62

53

326

8

Drago

William

John

Male

1.66

43

359

8

Large

Stephen

Daniel

Male

1.48

26

370

8

Mause

John

James

Male

1.65

69

392

8

Roberts

Michael

Male

1.48

40

406

8

Stevens

Andy

Male

1.63

42

407

8

Conclusion

3 had the height from 140-150cm and 8 had the height from 150-160. 8-3=5 boys had the height between 140-160.   5

------ Boys in school are between 140-160cm.

31

The graph also tells us that 10 girls had the height from 140-160cm. 4 had the height from 140-150, and 6 had the height from 150-160cm. 6-4=2 girls had the height between 140-160cm.   1

----- Girls in school are between 140-160c tall,

14

Mean girls:

145x4= 580

155x6= 930

165x13= 2145

175x5= 875

-------

4530/28=162cm.

Mean boys:

135x1= 135

145x3= 435

155x8= 1240

165x9= 1485

175x5= 875

185x4= 740

195x1= 195

------

5105/31=165cm.

Modal class = girls-160<h<170, boys-160<h<170

Mode height= girls- 160cm, boys-150/170cm

Median: girls- 160cm, boys-163cm.

The following investigations that I undertook (above) show me that my hypothesis “Boys taller than girls” is correct. Boys go on for longer and they go up to 200cm whereas girls go up to 180cm.

Box Plot:

The box and whisker diagram show that the girl’s interquartile range is 1cm less than the boys. This tells us that the boy’s height is more spread out than the girls

.My hypotheses again has bee shown as being correct.

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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