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Investigate the relationship between the head size and height of a person in order to prove the statement "the taller you are, the larger your head size".

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Introduction

GCSE Math Coursework

Statistics

Statement: The taller you are, the larger your head.

Introduction:

In this investigation I will investigate the relationship between the head size and height of a person in order to prove if the statement “the taller you are, the larger your head size”. In order to do this I have recorded the data of Tanglin Trust Senior School, which is approximately 500 students. With this data I will be able to draw conclusions and prove if the head size of a person is affected by their height. Also, through examining the younger students in comparison to the older ones I will be able to see if there are any patterns or trends in the results.

Also within this investigation I will pay attention and note if there is any relationship between the head size and height of boys and girls and also if height effects these factors at all.

...read more.

Middle

5

3

AJD

162

54.0

Coleman

Myles

1

1

1

HMD

172

58.0

Corke-Ogg

Cameron

1

1

3

AJD

176

59.0

Cullinane

Jack

4

16

3

HMD

164

58.5

Dempster

Greig

1

4

3

AJD

160

57.0

Epstein

Julia

3

14

1

AJD

Everest

Tyler

4

14

3

HMD

155

57.5

Farooqi

Nadia

1

HMD

160

56.0

Fordham

Elizabeth

1

3

1

HMD

157

53.0

Franks

Charlotte

2

1

3

AJD

157

53.0

Gill

Rosie

1

4

3

SJH

167

Hague

Marc

3

13

1

AJD

Hartono

Finella

3

13

1

...read more.

Conclusion

And also that this trend will not be influenced by height, and as such

The graph below is an analyze of the entire school. Five students were chosen at random from each year group and their details were put on the chart. As such this graph is a particularly good analyze of the entire schools height in relation to head size.

Fig. 3

image02.png

This type of trend is not unusual, as proved by the graphs above (Fig. 1 & 2) and below (Fig. 4). From this it is clear that the statement ‘the taller you are, the larger your head’ can only be applied as a general rule. Whilst the trend as a whole is upwards (as shown in the best fit line) there are several exceptions and many of the points go outside of the error range of the graph, as shown in Fig. 5.

(insert error bar graph)

The following graph shows the general trend of head size to height in Year 7, where the students are 11 – 12 years old.

Fig. 4

image03.png

...read more.

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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