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  • Level: GCSE
  • Subject: Maths
  • Word count: 3050

Mayfield High School

Extracts from this document...

Introduction

I have decided to develop a statistical inquiry on the relationship between height and weight based upon the students of Mayfield High School. My hypothesis is that the taller the person the heavier they would be and that the male sex is heavier and taller than the female sex. I state this because I think that girls in a secondary school are more likely to be weight-conscious and boys are usually taller after going through puberty comparatively to girls. I also think that the boys will be spread apart more in terms of height and weight than girls. This is because recent studies have proven that the female sex anatomically matures more after the age of sixteen whereas a male body changes from puberty onwards.

To start my investigation I need an unbiased representation of the entire Mayfield High School. I first need to stratify the data for my sample, proportionate to the size of the year and the different genders. I will take 40 pupils as my sample size as this number would provide a defined sense of accuracy for the representation of the various year groups and genders.

...read more.

Middle

39

614

9

James

Jordan

Male

1.70

47

687

9

Bosh

Suki

Female

1.52

52

689

9

Branwood

Amy

Female

1.58

50

725

9

Grow

Louise

Female

1.6

48

739

9

Javi

Ursula

Female

1.65

45

745

9

Jones

Samantha

Female

1.62

45

836

10

Carmichael

Ryan

Male

1.70

60

886

10

O'Dogg

Robert

Male

1.75

57

872

10

Lambert

Daniel

Male

1.77

80

909

10

Smith

Saf

Male

1.89

64

958

10

Hall

Faith

Female

1.55

48

976

10

Martin

Jane

Female

1.67

48

1010

10

Ullah

Lisa

Female

1.79

45

1018

11

Bentley

James

Male

1.91

82

1048

11

Heath

Malcom

Male

1.75

68

1098

11

Ableson

Anbigale

Female

1.83

60

1121

11

Compass

Sharon

Female

1.52

38

1158

11

McMorrison

Victoria

Female

1.65

52

The raw data above needs to be sorted before I can analyze the difference between the various heights and weights, as it will make the data easier to read and would allow me to represent my data in the form of a chart or graph.

My data can first be sorted in the form of a stem and leaf diagram so that the data can be shown in a precise manner.

Stem and Leaf diagram for Height (m)

1.30

2

1.40

1.50

0, 0, 0, 1, 2, 2, 2, 3, 4, 5, 6, 7, 8, 8

1.60

0, 0, 0, 1, 1, 2, 2, 4, 5, 5, 7, 8

1.70

0, 0. 2, 3, 3, 5, 5, 7, 9

1.80

3, 9

1.90

0, 1

Stem and Leaf diagram for Weight (kg)

30

5, 8, 9

40

0, 0, 3, 3, 5, 5, 5, 5, 5, 5, 7, 8, 8, 8, 8, 8

50

0, 0, 0, 2, 2, 2, 2, 7, 7, 9

60

0, 0, 0, 0, 2, 4, 8

70

0, 4

80

0, 2

Looking at the Stem and Leaf diagram sideways we can see the mode of the height and weights very plainly as being 1.50m and 40kg respectively.

I have decided to sort my data through data capture sheet also known as a tally chart for both height and weight as this will allow me to construct a histogram. Since the data is not discrete the frequencies are distributed into class intervals.

Height (m)

Tally

Frequency

1.3 ≤ h < 1.4

1

1.4 ≤ h < 1.5

0

1.5 ≤ h < 1.6

14

1.6 ≤ h < 1.7

12

1.7 ≤ h < 1.8

9

1.8 ≤ h < 1.9

2

1.9 ≤ h < 2.0

2

Weight (kg)

Tally

Frequency

30 ≤ w < 40

3

40 ≤ w < 50

16

50 ≤ w < 60

10

60 ≤ w < 70

7

70 ≤ w < 80

2

80 ≤ w < 90

2

...read more.

Conclusion

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image10.pngimage01.png

The scatter diagrams again show that the distribution of the Boys is spread apart whereas the distribution of the Girls is concentrated. The two lines of best fit can be used to find a formula which can predict the weight of a pupil if given the height and vice versa.

In conclusion I have shown that the heights of people increased as their weights did (and vice-versa). I had said in my hypothesis that “boys will be spread apart more in terms of height and weight than girls.” I have shown this at least within my own sample that Boys are taller and weigh more than girls and are more diverse in their heights and weights than girls. There may be some inaccuracies due to incorrect measuring or a few extreme cases that influence the entire sample. This extreme cases could be due to a variety of reasons some of which  have stated along this coursework. To further extend this investigation I could have analyzed the data from different year groups as well as from different genders. I could also have found out the formula that would allow us to estimate the height of a boy / girl if given the weight and vice-versa.

...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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