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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

## 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.

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

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)

 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

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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