• Join over 1.2 million students every month
  • Accelerate your learning by 29%
  • Unlimited access from just £6.99 per month
Page
  1. 1
    1
  2. 2
    2
  3. 3
    3
  4. 4
    4
  5. 5
    5
  6. 6
    6
  7. 7
    7
  8. 8
    8
  9. 9
    9
  • Level: GCSE
  • Subject: Maths
  • Word count: 2224

Using the data from Mayfield High School, I am going to be investigating the relationship between IQ level and Key Stage 2 results.

Extracts from this document...

Introduction

Using the data from Mayfield High School, I am going to be investigating the relationship between IQ level and Key Stage 2 results. I would expect to find that people with higher IQ will have higher KS2 results. I am going to take a random stratified sample of 60 students; this will enable me to take a proportional amount of pupils from each year group. To do this calculation I needed to find the number of people in each year group then divide it by the total number of people in the school, after you have done this you need to multiply it by the size of your stratified sample.

        So my calculation for the number of students I need from year 7 would be: 282/1183*60=14.3… as this is a decimal answer I will have to round it off to the nearest whole number. As mine is 14.3 I will round it own to 14.

Year

Calculation

Number of Pupils

7

(282/1183) x 60

14

8

(270/1183) x 60

14

9

(261/1183) x 60

13

10

(200/1183) x 60

10

11

(170/1183) x 60

9

60

This table shows me how many pupils I need from each year group. To start off with I gave each student a number from 1 – 1183, I then sorted the data into year groups and then I generated a random number between 1 –1183 using my calculator.

        In order to see if there is any relationship between Key Stage 2 results and IQ I am going to draw scatter diagrams.

...read more.

Middle

11

110

4.6

11

102

4.3

11

101

3.3

11

109

4.3

11

92

3.3

11

104

4.3

11

103

4

11

99

4.3


I will now find the averages for IQ and KS2 for each year then the entire school.

Averages… IQ…

To get the average IQ I added up all the IQ’s in the certain year and then divided the total by the number of students in my sample in that year.

Year 7 = 1416 / 14 = 101.1

Year 8 = 1416 / 14 = 101.1

Year 9 = 1291 / 13 = 99.3

Year 10 = 1004 / 10 = 100.4

Year 11 = 930 / 9 = 103.3

All years = 6057 / 60 = 100.95

This is the average IQ for the entire school.

Average KS2

I got the average Key Stage 2 results by adding up each students key stage 2 results then divided each students total KS2 results by 3, this enabled me to find the average of each child. To get the year average I added up all the children’s average KS2 results then divided it by the number of students in the year’s sample.

Year 7 = 58.2 / 14 = 4.15

Year 8 = 58 / 14 = 4.14

Year 9 = 49.9 / 13 = 3.83

Year 10 = 39.1 / 10 = 3.91

Year 11 = 36.8 / 10 = 3.68

All years = 24.2 / 60 = 4.03

These results are quite interesting, as the year’s progress it seems people are getting higher key stage 2 results. This could be due to many influential factors: the method in which the teachers teach their students may have improved. Another factor could be that the parents encourage their children to study more at home, so this in turn will help the students improve their grades.


Analysis of Scatter Diagrams…

        After completing my year 7 scatter diagram I have noticed that there is a strong positive correlation. My line of best fit shows this. I have drawn a line of best fit so that I will be able to predict someone’s IQ level from his or her average Key Stage 2 results and vice-versa. Most the points were close to the line apart from 2 odd points; one of the points is quite far below the line of best fit, while the other is very far above the line of best fit.

        In Year 8 the same sort of trend followed from year 7 but there was not as a strong correlation as before. This could be due to my hypothesis, which I made earlier.

        In year 9 the trend continued but there was one extreme point, which was very far away from the line of best fit. This was the only extreme point but there were other points, which were quite far away from the line of best fit. 5 points all resided on the same x-axis, which was 4. So that must mean that quite a number of people got a key stage 2 average of 4

        In year 10 the trend stayed the same but the points were not as closely packed, as before, there was gaps between them. The majority of the points resided higher on the line of best fit only 3 points were below an average key stage 2 result of 4.

        In year 11 there were no unusual points, all the points stayed close to the line of best fit.

        After looking at my statistics it is clear that there is a slight relationship to the IQ and Key Stage 2 results. This does not mean that body with the same IQ got the same key stage 2 results or vice versa.  Using my lines of best fit I am able to predict the IQ of a person with the average key stage 2 result of 4.6. I obtained the following results:

Year

Average Key Stage 2 Result

IQ

7

4.6

106

8

4.6

103

9

4.6

103

10

4.6

108

11

4.6

108

...read more.

Conclusion


Cumulative Frequency…

 Year 7

IQ

Tally

Frequency

Cumulative Frequency

70<x<80

1

1

80<x<90

0

1

90<x<100

2

3

100<x<110

10

13

110<x<120

0

13

120<x<130

1

14

Year 8

IQ

Tally

Frequency

Cumulative Frequency

70<x<80

0

0

80<x<90

1

1

90<x<100

3

4

100<x<110

8

12

110<x<120

2

14

120<x<130

0

14

Year 9

IQ

Tally

Frequency

Cumulative Frequency

60<x<70

1

1

70<x<80

0

1

80<x<90

0

1

90<x<100

3

4

100<x<110

7

11

110<x<120

2

13

120<x<130

0

13

Year 10

IQ

Tally

Frequency

Cumulative Frequency

60<x<70

0

70<x<80

0

80<x<90

0

90<x<100

3

3

100<x<110

6

9

110<x<120

1

10

120<x<130

10


Year 11

IQ

Tally

Frequency

Cumulative Frequency

60<x<70

70<x<80

0

80<x<90

0

90<x<100

2

2

100<x<110

5

7

110<x<120

2

9

120<x<130

9

Summary of cumulative frequency results for IQ

Year

Median

Lower Quartile

Upper Quartile

Inter Quartile Range

7

7

3.5

10.5

7

8

7

3.5

10.5

7

9

6.5

3.25

9.75

6.5

10

5

2.5

7.5

5

11

4.5

2.25

6.75

4.5

The table shows that most of the data from the year 7 and 8 lies within a larger spread of the median value. This could mean that year 7’s and 8 have a varying IQ level more than any other year group. This statement backs up my hypothesis previously. This information also suggests that year 11 fall within a more closely packed inter quartile range.

        After all my research I found out that the older the students the worse key stage 2 results they had. So for example a when a current year 7 becomes a year 11 that student will have worse results than a new year 7.

...read more.

This student written piece of work is one of many that can be found in our GCSE IQ Correlation section.

Found what you're looking for?

  • Start learning 29% faster today
  • 150,000+ documents available
  • Just £6.99 a month

Not the one? Search for your essay title...
  • Join over 1.2 million students every month
  • Accelerate your learning by 29%
  • Unlimited access from just £6.99 per month

See related essaysSee related essays

Related GCSE IQ Correlation essays

  1. GCSE Statistics Coursework

    52 243 9 21 243 9 49 245 11 70 250 16 51 250 16 70 250 16 91 255 21 68 256 22 83 257 23 51 258 24 62 263 29 95 265 31 70 267 33 70 268 34 53 270 36 66 270 36 47 272

  2. This experiment will show that there is a significant positive correlation between males and ...

    They will be briefed (appendix 1) and given standardised instructions on how to fill out the questionnaire (appendix 2) and allowed to fill in the questionnaire without distraction. When they have finished They will ve debriefed (appendix 3) and thanked for their time. Ethical Issues * As the participants are over 16 they do not require

  1. Mayfield High school

    70 70 < x ? 80 80 < x ? 90 90 < x ? 100 100 < x ? 110 110 < x ? 120 120 < x ? 130 1 1 9 29 44 15 1 1 2 11 40 84 99 100 The cumulative frequency graph showing the above table is on a separate paper.

  2. A typical intelligence test asks a variety of questions, many of which are of ...

    It does seems that Intelligence tests do have there place for giving an indication of a persons ability or disability, if every aspect of the test results are analysed, if not, the results can be very destructive as an individual can be wrongly labelled for life, due to the fact

  1. Mathematics Statistics Coursework

    4 4 4 4 238 7 Solecki Charlotte Anna 12 5 106 4 5 5 5 50 7 Carol-Mcardle Lauren Jill 12 4 106 5 4 5 5 214 7 Pledge Jessica 11 11 128 5 5 5 5 43 7 Butler Leanne 12 2 107 4 4 5 4

  2. Are left-handed people more intelligent and creative than the right-handed in Mayfield High School?

    in the total of the left-handed % of certain year of girls in the total of the left-handed Year 7 16 21 37 10% 13% Year 8 36 29 65 23% 18% Year 9 20 36 56 13% 23% =158 I will take 60 data from the left-handed people Number

  1. An Investigation into Gender-Based Stereotyping Using IQ Estimates

    the relevance to education it has received a great deal of attention. Girls and boys seem to have the same abilities in computer skills but boys are usually better, than girls, at mathematics and puzzles. It may seem that a childhood of social experience is the main factor, but the

  2. HYPOTHESIS Blonde girls are more intelligent than non blonde girls. Blonde girls that ...

    Munro 100 12 Dixon 98 6 Eden 100 24 Jones 98 9 Smith 100 2 Holt 99 28 Montogmerie 100 17 Green 100 21 Lee 100 28 Hughes 100 12 Durst 100 24 Dixon 100 17 Aneillz 100 24 Kelsey 100 14 Shunarik 101 10.5 Hague 100 10 Bennit 102

  • Over 160,000 pieces
    of student written work
  • Annotated by
    experienced teachers
  • Ideas and feedback to
    improve your own work