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  • Level: GCSE
  • Subject: Maths
  • Word count: 2148

An Investigation into the Relationship Between Weight and IQ at Mayfield High School.

Extracts from this document...

Introduction

An Investigation into the Relationship Between Weight and IQ at Mayfield High School

Hypothesis

I will investigate the following statements:

  • Heavier people have a lower IQ than lighter people.
  • Boys are heavier than girls.
  • Therefore, Girls are more intelligent than Boys.

I will need to collect the following information:

  • Year Group:
  • So I can make sure I collect a fair sample using every year in the school.
  • Gender:
  • So I can investigate the statement boys are heavier than girls and girls are more intelligent than boys.
  • IQ:
  • So I can investigate the statements girls are more intelligent than boys and heavier people have lower IQs.
  • Weight:
  • So I can investigate the statements boys are heavier than girls and heavier people have lower IQs.

I know that this data is reliable because it came from the recognized EDEXCEL GCSE exam bored website, but there may still be some manual errors in the data from when it was being typed up.

...read more.

Middle

Male

106

70

9

Fenton

Aaron

Male

104

55

9

Haugh

Jason

Male

112

48

9

Malady

Anthony

Male

105

46

9

Samas

Sam

Male

102

43

9

Wood

Adam

Male

89

6

9

Brown

Caroline

Female

108

48

9

Burns

Emma

Female

109

38

9

Green

Nichola

Female

108

38

9

Johnson

Emma

Female

103

50

9

Knight

Victoria

Female

120

40

9

McNaughton

Bonnie

Female

116

48

9

O'Donald

Louise

Female

102

36

9

Smith

Sasha

Female

103

48

9

Taylor

Elizabeth

Female

117

41

9

Peacock

Ruth

Female

107

57

10

Banks

Semour

Male

116

9

10

Black

Joe

Male

90

50

10

Cook

Shaun

Male

116

40

10

Jones

Nathan

Male

92

76

10

Leach

Peter

Male

106

59

10

Scrannage

Ben

Male

106

64

10

Taylor

Lewis

Male

113

80

10

Ali

Aisha

Female

103

45

10

Chayse

Erica

Female

113

52

10

Fox

Serena

Female

108

40

10

Kevill

Jaide

Female

101

48

10

Sampras

Paula

Female

103

48

10

Yo

Rhonda

Female

94

47

11

Chinny

Anthony

Male

112

56

11

Friend

Aaron Carl

Male

102

60

11

Hope

Steven

Male

98

93

11

McGuire

Frederick

Male

89

70

11

Parker

Peter

Male

100

60

11

Vincent

Nigel

Male

86

62

11

Barlow

Louise

Female

102

44

11

Butt

Paveen

Female

103

54

11

Jonson

Kirten

Female

100

39

11

Neeley

Debroah

Female

103

47

11

Tazmer

Leigh

Female

106

56

11

Zarrent

Donna

Female

103

48

Collect Process and Represent

The table on the previous page is not a very useful way of representing data. Because both my sets of data are continuous I am going to use stem and leaf digrams to work out the frequency for my sets of data.

        After I have worked out the frequency of my data I can use it plot histograms of the weight and IQ. I will then plot a frequency polygon to compare the sets of data ffor genders. This will help me prove my statement that boys are heavier than girls and that girls are more intelligent than boys.

Stem and Leaf Tables

        IQ – Mixed

Stem

Leaf

Frequency

70

1 2 6

3

80

1 6 6 9 9

5

90

0 1 2 2 4 8 9 9 9

9

100

0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 4 5 5 6 6 6 6 6 7 8 8 8 8 8 9 9

48

110

0 1 2 2 3 3 3 3 5 6 6 6 6 6

14

120

0

1

80

IQ - Boys

Stem

Leaf

Frequency

70

1 2

2

80

1 6 6 9 9

5

90

0 1 2 8 9

5

100

0 0 0 0 0 0 2 2 2 2 2 2 4 5 5 6 6 6 8 9

20

110

2 2 3 3 3 5 6 6

8

40

...read more.

Conclusion

I am now going to continue my investigation by ploting a cumulative frequency graph, a much more powerful tool for comparing different data sets because I feel my result are not conclusive enough in proving my statement that boys are heavier than girls, but I feel that the statement that girls are more intelligent than boys has been proved pretty conclusively.

Weights (KG)

Cumulative Frequency

Boys

Girls

Mixed

<30

3

0

3

<40

9

5

13

<50

19

28

47

<60

27

39

66

<70

32

39

71

<80

36

39

75

<90

37

39

76

<100

39

39

78

<110

39

39

78

<120

40

39

79

<130

40

39

79

<140

40

39

79

<150

40

40

80

The Cumulative frequency graph proves that the weight of 140kg is an anomaly; it is probably caused by manual error when the spreadsheet was being typed up. Without that anomaly I have proved that boys weigh more than girls.

I am now going to compare the weight to the IQ. I think the most sensible way to do this is using a scatter diagram.

Weight and IQ Comparison for boys

Weight

48

37

38

53

29

38

40

51.5

26

56

IQ

99

108

72

100

115

102

109

81

91

100

Weight

37

29

72

46

48

61

50

110

45

38

IQ

71

100

113

102

86

102

105

113

100

102

Weight

44

70

55

48

46

43

96

90

50

40

IQ

100

106

104

112

105

102

89

108

109

108

Weight

76

59

64

80

56

60

93

70

60

62

IQ

92

106

106

113

112

102

98

89

100

86

The scatter diagram show very little correlation between weight and IQ.

...read more.

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