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• Level: GCSE
• Subject: Maths
• Word count: 3901

# MayfieldHigh School.

Extracts from this document...

Introduction

Mayfield High School

Statistics Coursework

Introduction

In this assignment I will be aiming to determine whether there is a connection between IQ and Key Stage 2 results. To establish whether there is a relationship between IQ and Key Stage 2 results I will be analysing data collected from Mayfield High School. I can be satisfied that the data I have been given is reliable because although Mayfield High School is a fictitious school the data provided is based on a real school. I do realise that human error while presenting the data could lead to some information being incorrect but I am content to use this data. I will rule out any anomalous data if it becomes obvious.

I will be using random sampling of my selected strata which is both year 8 and year 10. I have chosen to sample years 8 and 10 because then I will get a range of data from across the school. By choosing to sample data from two different year groups I will be sure that any findings I make will not just be relevant to one particular year group. I will also separate these year groups into a number of different strata. For example I will also look into the gender of the students in the sample.

I will be presenting the data that I will collect in a variety of ways and these include scatter graphs, box plot and whisker diagrams, bar charts and cumulative frequency graphs.

Middle

12

8

Roberts

Michael

Male

97

3

4

4

11

8

Singh

Paul

Male

106

4

5

5

14

8

Smith

Ben

Male

96

4

3

4

11

8

Stevens

Andy

Male

117

5

5

5

15

8

Thomas

Jonathan

Male

90

3

3

3

9

8

Thomas

Ryhs

Male

121

6

4

6

16

8

Toms

John

Male

100

5

4

4

13

Mean

102.23

Mean

12.32

Lower Quartile

97.25

Lower Quartile

11

Upper Quartile

105.5

Upper Quartile

13.75

Median

102

Median

12

My sample of female students in Year 8

 KS2 Results Year Group Surname Forename Gender IQ English Maths Science Total KS2 Result 8 Abbott Zahara Female 116 5 5 5 15 8 Abejuro Laura Female 105 4 4 4 12 8 Bates Leah Female 103 5 4 4 13 8 Brocklehurst Kaylea Female 79 3 3 3 9 8 Burney Amna Female 106 4 5 5 14 8 Craft Toni Female 107 4 5 5 14 8 Giles Nichole Female 111 5 5 4 14 8 Healy Emily Female 94 3 4 3 10 8 Hendra Tina Female 94 3 4 3 10 8 Hilt Sopia Female 102 4 4 5 13 8 Islay Teresa Female 113 5 5 5 15 8 Kay Dannielle Female 110 5 5 4 14 8 Kelly Julie Female 113 5 5 5 15 8 Matel Kirsty Female 90 3 3 4 10 8 McDonald Kyle Female 101 4 4 4 12 8 Meert Maureen Female 72 2 2 3 7 8 Norman Corrine Female 122 5 5 5 15 8 Right Emma Female 104 4 5 5 14 8 Timpson Zoe Female 107 5 4 5 14 Mean 102.58 Mean 12.63 Lower Quartile 97.5 Lower Quartile 11 Upper Quartile 110.5 Upper Quartile 14 Median 105 Median 14

My mixed sample of students in Year 10

 KS2 Results Year Group Surname Forename Gender IQ English Maths Science Total KS2 Result 10 Abejurouge Henry Male 89 3 3 3 9 10 Ali Aisha Female 103 5 4 4 13 10 Anderson Taz Female 116 5 5 5 15 10 Barry Kayleigh Female 100 4 4 4 12 10 Bolt Jim Male 106 4 5 5 14 10 Brandward Amy Female 76 3 2 3 8 10 Brown David Male 103 4 4 4 12 10 Campbell Debbie Female 96 4 3 4 11 10 Casey Fred Male 83 3 3 4 10 10 Collins Louise Female 83 4 2 3 9 10 Cook Shaun Male 116 6 6 6 18 10 Edwards Julie Female 114 5 5 5 15 10 Grimshaw Katie Female 104 5 4 4 13 10 Hawks Tony Male 112 5 5 5 15 10 Hosier Laura Female 100 4 4 4 12 10 Javidson Carlos Male 109 4 5 5 14 10 Jones Paul Male 112 4 5 5 14 10 Knott Mark Male 110 5 5 5 15 10 Lambert Daniel Male 109 4 5 5 14 10 Lawson Karren Female 100 4 4 4 12 10

Conclusion

Conclusion

I am now going to state whether I accept or reject my various hypotheses. Although I cannot prove these hypotheses beyond doubt as there are limitations with my data. Firstly I am only using a sample of one school and other schools may have completely different results. Secondly I was only using a small sample of the school and if I had used all of the data provided then I may well have come up with different results. Thirdly I only sampled years 8 and 10 and if I had sampled all of the other years then I would have a more detailed and accurate set of results. Below I have stated my three hypotheses and beside them I have stated whether I accept or reject them.

Students with high IQ scores will also have high Key Stage 2 results. Accepted

Girls will have higher IQ scores than boys. Accepted

Boys will have better Key Stage 2 Maths results than girls. Rejected

I am very pleased with the outcome of this investigation as I have able to prove or disprove my various hypotheses with sufficient evidence. To extend this investigation I could have looked at the Key Stage 4 results of years 10 and 11 to see if the IQ would also be closely linked with these results. I could have used larger sample sizes and more year groups for better accuracy and reliability.

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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