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  • Level: GCSE
  • Subject: Maths
  • Word count: 7148

In the main study, my main finding was that weight and height were related and that generally, as height increased so did weight and vise versa. However, I looked at whether this varied in the different genders and age groups

Extracts from this document...

Introduction

image00.jpg

Contents:

  1. Introduction
  1. Preliminary Study

   3. Preliminary Study Findings

4. Main Study

5. Conclusion

Introduction

        The Mayfield High School investigation is an investigation which uses secondary data collected from a real school and which is displayed on a database. The following data is the data which is provided on the database.

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

The total number of students on the database is 1183 and with 27 pieces of information for each of them, we have 31,914 datum points all together.

In the investigation I must look at the relationships between different types of information such as hair colour, eye colour, height, weight, favourite colour, number of siblings, favourite sport, favourite music, gender, age, IQ and etc. I have chosen to look at the relationship between the categories of height and weight. However, I will also use the data from the gender and whether they are KS3 or KS4 sections for my investigation.

        First of all, I will be performing a preliminary study. The preliminary study will allow me to eradicate any anomalies from the database so that when it comes to doing the full study of the relationship between height and weight, my results that I find will be as accurate as possible.

Within the preliminary study I will look at displaying the data in different forms so that I can pick out the anomalies more easily. Also, within the preliminary study I will be looking at the relationship between the weight and height of KS3 pupils and the weight and height of KS4 pupils. After looking at that relationship, I think that it will give me a much more general rule about the height and weight of children in the two different age categories which I will then write about.

...read more.

Middle

40

1.59

48

1.61

38

1.61

38

Year 10

1.65

54

1.74

47

1.67

48

1.55

55

1.73

45

1.52

45

1.60

55

1.60

55

1.62

42

1.90

40

1.61

54

1.50

40

1.52

70

1.80

60

1.57

54

1.57

45

1.70

60

Year 11

1.60

48

1.62

54

1.63

45

1.69

51

1.73

50

1.78

55

1.70

54

1.65

42

1.75

60

1.52

48

1.60

54

1.60

45

1.49

40

Boys

Year 7

1.65

69

1.50

56

1.55

53

1.50

43

1.52

25

1.63

50

1.58

40

1.62

49

1.67

60

1.61

43

1.41

31

Year 8

1.57

62

1.43

48

1.48

40

1.75

80

1.5

32

1.72

48

1.63

42

1.68

64

1.42

26

1.56

59

Year 9

1.71

44

1.52

54

1.67

52

1.58

50

1.66

46

1.48

40

1.64

35

1.72

57

1.70

50

Year 10

1.80

72

1.63

60

1.74

64

1.73

57

1.54

54

1.67

44

1.65

54

1.68

64

1.60

58

1.70

55

1.77

59

1.77

80

1.74

56

1.72

62

1.70

55

1.73

56

Year 11

1.92

45

1.96

83

1.62

63

1.84

78

1.7

72

2.03

86

1.83

75

1.8

72

2

86

1.92

45

1.62

62

1.68

63

1.62

52

1.72

63

        I am now going to draw grouped frequency tables for the four sections so that I can access the data easier and it is in a much better arrangement.

Boys KS3

Weight, w (kg)

Tally

Frequency

20≤w<30

1

30≤w<40

3

40≤w<50

12

50≤w<60

9

60≤w<70

4

70≤w<80

0

80≤w<90

1

Height, h (cm)

110≤h<120

0

120≤h<130

0

130≤h<140

0

140≤h<150

5

150≤h<160

10

160≤h<170

10

170≤h<180

5

180≤h<190

0

190≤h<200

0

200≤h<210

0

Boys KS4

Weight, w (kg)

20≤w<30

0

30≤w<40

0

40≤w<50

3

50≤w<60

10

60≤w<70

8

70≤w<80

5

80≤w<90

4

Height, h (cm)

110≤h<120

0

120≤h<130

0

130≤h<140

0

140≤h<150

0

150≤h<160

1

160≤h<170

9

170≤h<180

11

180≤h<190

4

190≤h<200

3

200≤h<210

2

Girls KS3

Weight, w (kg)

20≤w<30

0

30≤w<40

5

40≤w<50

15

50≤w<60

9

60≤w<70

0

70≤w<80

1

80≤w<90

0

Height, h (cm)

110≤h<120

0

120≤h<130

0

130≤h<140

0

140≤h<150

1

150≤h<160

17

160≤h<170

11

170≤h<180

1

180≤h<190

0

190≤h<200

0

200≤h<210

0

Girls KS4

Weight, w (kg)

20≤w<30

0

30≤w<40

0

40≤w<50

14

50≤w<60

12

60≤w<70

3

70≤w<80

1

80≤w<90

0

Height, h (cm)

110≤h<120

0

120≤h<130

0

130≤h<140

0

140≤h<150

1

150≤h<160

7

160≤h<170

13

170≤h<180

7

180≤h<190

1

190≤h<200

1

200≤h<210

0

To work out the averages for each of the groups I have showed data from in the above table, I am going to draw some charts to help me work out the means of the grouped data.

Class Interval

Frequency (f)

Mid-point (x)

F x x

Boys KS3

Weight, w (kg)

20≤w<30

1

25

25

30≤w<40

3

35

105

40≤w<50

12

45

540

50≤w<60

9

55

495

60≤w<70

4

65

260

70≤w<80

0

75

0

80≤w<90

1

85

85

Total:

30

1510

Height, h (cm)

110≤h<120

0

115

0

120≤h<130

0

125

0

130≤h<140

0

135

0

140≤h<150

5

145

725

150≤h<160

10

155

1550

160≤h<170

10

165

1650

170≤h<180

5

175

875

180≤h<190

0

185

0

190≤h<200

0

195

0

200≤h<21

0

205

0

Total:

30

4800

Boys KS4

Weight, w (kg)

20≤w

...read more.

Conclusion

        In the main study, my main finding was that weight and height were related and that generally, as height increased so did weight and vise versa. However, I looked at whether this varied in the different genders and age groups. I found that it did indeed vary when these different factors are considered as you can see in my investigation.  Another one of my major findings within this investigation was that boys data is far less consistent compared with the girls. I gained this from comparing the interquartile ranges for boys and girls of the same age group. For example if we look at the interquartile range of KS3 boys and girls heights, we find that the boys is 15 compared to a very low 9 for the girls. This just shows how consistent the girls data was compared to very inconsistent the boys was.

        My findings have been fairly positive in this investigation but we must remember that this investigation was only carried out on a small number of students from one individual school. From my findings whilst comparing the interquartile ranges of boys to girls, I discovered just how inconsistent some of the data was and therefore I do feel like I would need to carry out a much larger sample of students if I needed to find a very reliable set of results.  If I was to investigate further or test my findings then I would first need to take a larger age range, take a larger sample and take the students from different schools all over the country. The findings from different areas of the country due to a number of factors such as lifestyle and diets could be extremely varied and that is why I cannot at the moment really make a statement which is true for all boys and girls in the world but only for boys and girls at Mayfield High School where the sample was taken from.

...read more.

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