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  • Level: GCSE
  • Subject: Maths
  • Word count: 3319

A Survey to Study The Correlation Between The Genders And Their IQs of The Students from Year 7-11 in Mayfield High School.

Extracts from this document...

Introduction

Audrey Chung                                                                                                 GCSE Maths

image00.png

Introduction:

The title of my investigation is ‘A Survey to Study The Correlation Between The Genders And Their IQs of The Students from Year 7-11 in Mayfield High School.’  I am very interested in this subject. As there are a lot of males who claim that their IQs is higher than the females. However, the females disagree. Hence, I will investigate on this topic and prove by statistics to give us an answer.

My current hypotheses are that there is no correlation between the genders and their IQs from year 7 through year 11. I believe that there are no relationship between the gender and IQ because I think that IQ are from our DNA and also experience.

I will need to collect the information of every student from year 7 to year11 in Mayfield High School. I can find this information in the school network. ‘ Res on Maridor, SubjectResource, Maths, Data Handling.’ Inside the Data Handling folder, I will find an Excel folder called ‘ Mayfield Data’.

I have chosen these sources of information because it is secondary information and it is from Excel, therefore, it is very easy and convenient to work with. This data is reliable because it is posted on the school network. I will also check and ignore any strange results.

Sampling, Tables and Calculations:

I will collect a sample size of 50 students from each year.

...read more.

Middle

Ben

96

8M26

Thomas

Jonathan

90

8M27

Turner

Philip

92

1) Mean of IQ=2699/27

                        = 99.96

      2)   The lowest IQ=88

      3)   The highest IQ= 117

  1. Median of IQ =27/2=13.5

                            =14th=8M13=100

  1. Lower Quartile=27/4=6,75

=7th=8M27=92

  1. Upper Quartile=27/4x3=20.25

=21st=8M19=104

  1. Inter-quartile range=21st ’s IQ – 7th’s IQ

                                      = 104-92

                                      = 12

Yeaar 8 (female)

Number

Surname

Forename

IQ

8F20

Mohammed

Ashtina

8F6

Cassel

Diane

11

8F5

Brocklehurst

Kaylea

79

8F13

Hiccup

Jana - Sarah

86

8F2

Angus

Laura

100

8F9

Emmans

Jane

100

8F12

Healy

Emily

100

8F22

Parmer

Stephanie

100

8F25

Castle

Natilie

100

8F8

Dickenson

Anne

101

8F14

Houseson

Lisa

101

8F19

McDonald

Kyle

101

8F24

Smith

Susan

102

8F21

Neelam

Kate

103

8F23

Rooster

Hally

103

8F3

Bateman

Lisa

106

8F4

Biffle

Hayleigh

106

8F11

Hall

John

106

8F7

Craft

Toni

107

8F10

Grant

Laura

110

8F16

Kay

Dannielle

110

8F17

Kudray

Rebecca

113

8F1

Abbott

Zahara

116

8F15

Jason

Caren

116

8F18

Lomas

Victoria

122

2388

Number

Surname

Forename

IQ

8F1

Abbott

Zahara

116

8F2

Angus

Laura

100

8F3

Bateman

Lisa

106

8F4

Biffle

Hayleigh

106

8F5

Brocklehurst

Kaylea

79

8F6

Cassel

Diane

11

8F7

Craft

Toni

107

8F8

Dickenson

Anne

101

8F9

Emmans

Jane

100

8F10

Grant

Laura

110

8F11

Hall

John

106

8F12

Healy

Emily

100

8F13

Hiccup

Jana - Sarah

86

8F14

Houseson

Lisa

101

8F15

Jason

Caren

116

8F16

Kay

Dannielle

110

8F17

Kudray

Rebecca

113

8F18

Lomas

Victoria

122

8F19

McDonald

Kyle

101

8F20

Mohammed

Ashtina

8F21

Neelam

Kate

103

8F22

Parmer

Stephanie

100

8F23

Rooster

Hally

103

8F24

Smith

Susan

102

8F25

Castle

Natalie

100

*N.B.  I found out that there is a strange data. It is impossible for ‘Diane Cassel’ to have an

             IQ of 11 in a normal school. This must be a wrong data.  Therefore, I shall delete this

             data and add the next data ‘Smith Susan’   in order to keep my datas reliable. There      

             is also a blank data for ‘Mohammed Ashtina’ therefore, have to add one more data                                      

            to the table.

        1) Mean of IQ=2388/23

                        = 103.8

      2)   The lowest IQ=79

      3)   The highest IQ= 122

  1. Median of IQ =23/2=11.5

                            =12th=8F21=103

  1. Lower Quartile=23/4=5.75

=6th=8F22=100

  1. Upper Quartile=23/4x3=17.25

=18th=8F10=110

  1. Inter-quartile range=18th’s IQ – 6th’s IQ

                                      = 110-100

                                      = 10

.

For year 9, there are 261 students in total, 143 of them are females and 118 of them are males. Therefore, the number of male and female I have to use for sampling in the 50 students according to the ratio is:

143/261 x 50

female=27                        male= 50-27=23

=143/27                           = 118/23

~1/5                                   ~ 1/5

Then select the first female student in every group of 5 female students. Select the first male in every group of 5 male students.

The table will be on the next page.

Year 9 (male)

Number

Surname

Forename

IQ

9M12

Humza

Asim

69

9M21

Simons

Jack

84

9M10

Hardy

Matt

96

9M18

Miya

Gallahad

96

9M19

Patel

Mithun

98

9M15

Killinghamshire

Thomas

99

9M4

Bowy

Jake

100

9M8

Fagg

Simon

100

9M11

Henman

Tony

100

9M3

Austin

Steve

102

9M5

Burgess

John

102

9M13

Jags

Phil

102

9M17

Marshall

Charlie

102

9M2

Amin

Khuram

103

9M14

Jones

Brian

103

9M23

Tootill

William

104

9M16

Lentils

Adam

107

9M22

Snelgrove

Jonathan

107

9M20

Royle

Mohammed

108

9M9

Gregory

Andrew

112

9M1

Abejuro

Herman

116

9M6

Cranshaw

James

117

9M7

Durden

Tyler

118

Sum of IQ

2345

Number

Surname

Forename

IQ

9M1

Abejuro

Herman

116

9M2

Amin

Khuram

103

9M3

Austin

Steve

102

9M4

Bowy

Jake

100

9M5

Burgess

John

102

9M6

Cranshaw

James

117

9M7

Durden

Tyler

118

9M8

Fagg

Simon

100

9M9

Gregory

Andrew

112

9M10

Hardy

Matt

96

9M11

Henman

Tony

100

9M12

Humza

Asim

69

9M13

Jags

Phil

102

9M14

Jones

Brian

103

9M15

Killinghamshire

Thomas

99

9M16

Lentils

Adam

107

9M17

Marshall

Charlie

102

9M18

Miya

Gallahad

96

9M19

Patel

Mithun

98

9M20

Royle

Mohammed

108

9M21

Simons

Jack

84

9M22

Snelgrove

Jonathan

107

9M23

Tootill

William

104

1) Mean of IQ=2345/23

                        = 101.96

      2)   The lowest IQ=69

      3)   The highest IQ= 118

  1. Median of IQ =23/2=11.5

                            =12th=9M13=102

  1. Lower Quartile=23/4=5.75

=6th=9M15=99

  1. Upper Quartile=23/4x3=17.25

=18th=9M22=107

  1. Inter-quartile range=18th’s IQ – 6th’s IQ

                                      = 107-99

                                      = 8

Year 9 (female)

Numbers

Surname

Forename

IQ

9F6

Burn

Suzanne

85

9F1

Wishbone

Tonya

90

9F4

Border

Lucy

90

9F18

Lloyd

Mary

90

9F2

Ashworth

Samantha

91

9F7

Calg

Natalie

97

9F5

Bron

Edna

99

9F21

O'Neill

Krisila

100

9F23

Right

Tina

100

9F27

Taylor

Donna

100

9F9

Crisley

Pheonia

101

9F10

Dover

Ben

101

9F25

Sim

Emily

101

9F15

Johnson

Emma

103

9F19

McAvoy

Farrah

104

9F3

Bellfield

Janet

105

9F8

Catwell

Laretta

107

9F16

Kalidas

Jessica

107

9F22

Power

Donna

107

9F11

Green

Nichola

108

9F12

Guzman

Victoria

112

9F14

Hulme

Louise

112

9F20

Morrison

Katie

112

9F26

Smith

Sarah

112

9F13

Harolds

Vanessa

113

9F24

Sandy

Sacha

113

9F17

Knight

Victoria

120

Sum of IQ

2780

Numbers

Surname

Forename

IQ

9F1

Ashworth

Samantha

91

9F2

Bellfield

Janet

105

9F3

Border

Lucy

90

9F4

Bron

Edna

99

9F5

Burn

Suzanne

85

9F6

Calg

Natalie

97

9F7

Catwell

Laretta

107

9F8

Crisley

Pheonia

101

9F9

Dover

Ben

101

9F10

Green

Nichola

108

9F11

Guzman

Victoria

112

9F12

Harolds

Vanessa

113

9F13

Hulme

...read more.

Conclusion

1) Mean of IQ=2561/25

                        = 102.44

      2)   The lowest IQ=83

      3)   The highest IQ= 118

  1. Median of IQ =25/2=12.5

                            =13th=11M6=102

  1. Lower Quartile=25/4=6,25

=7th=11M5=100

  1. Upper Quartile=25/4x3=18.75

=19th=11M23=107

  1. Inter-quartile range=19th’s IQ – 7th’s IQ

                                      = 107-100

                                      = 7

Year11 (female)image02.png

Number

Surname

Forename

IQ

11F1

Ableson

Anbigale

98

11F2

Ali

Amera

90

11F3

Askabat

Fernado

105

11F4

Barlow

Hanah

102

11F23

Becher

Heidi

99

11F6

Berry

Shelly

100

11F7

Biddle

Vicky

104

11F9

Briggs

Sarah

91

11F10

Brown

Kevin

91

11F11

Burges

Edward

98

11F12

Calik

Nadia

104

11F5

Chen

Sabrina

117

11F13

Chinny

Anthony

112

11F14

Cripp

Justin

100

11F15

Cunning

Kenneth

107

11F16

Dion

Dawn

104

11F17

Donald

Adam

103

11F18

Downey

Colin

101

11F19

Fairfax

Jacob

106

11F8

Feehily

Christina

112

11F20

Fillstin

Rowena

104

11F21

Flawn

Elise

101

11F22

Frost

James

107

11F24

Hakins

Danielle

100

11F25

Hayson

Louise

97

1) Mean of IQ=2553/25

                        = 102.12

      2)   The lowest IQ=90

      3)   The highest IQ= 117

  1. Median of IQ =25/2=12.5

                            =13th=11F18=101

  1. Lower Quartile=25/4=6,25

=7th=11F23=99

  1. Upper Quartile=25/4x3=18.75

=19th=11F3=105

  1. Inter-quartile range=19th’s IQ – 7th’s IQ

                                      = 105-99

                                      = 6

I have checked that the calculation sense by using the built-in functions of the Excel software and double checked by using the calculator. It is also in a reasonable range. I have also ignored and deleted odd data.

The above calculations are very useful, I will now be able to draw diagrams and graph.

Observation:

From the previous diagrams and calculations:-

Figure 1 shows that in year7 the IQs of both genders have egual medians. Female students have larger spread of IQ distribution as its inter-quartile range is greater and the female also has a higher  lower quartile and upper quartile. This tells us that the female students is cleverer (higher IQ) than the male students at the age of year 7.

Figure two shows that in year 8 the IQs of both genders have quite a big different

...read more.

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