• 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. 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. 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

  1. 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

  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. An Investigation into Gender-Based Stereotyping Using IQ Estimates

    They were told to look at the IQ scale and told to indicate what they thought their IQ score would be. They were then given another scale and told to estimate what they thought their mother IQ score would be.

  2. Bivariate Data

    This calculation will provide me with information on whether the data has a linear correlation or not. If it does not, then the aim of my investigation cannot be fulfilled. If there is, then I can draw a line of best fit, and work further on my aim.

  1. GCSE Statistics Coursework

    175 272 433 273 273 833 433 274 349 243 274 424 200 282 392 244 284 249 169 285 428 245 300 400 250 317 453 267 Some are still estimating in cm but not as many as in the trail data.

  2. Maths IQ correlations

    Band A Tier 3-5 = 4, 3, 4, 3, 4, 5, 5 mean for band A= 68/14 = 4. 86 (2dp) Tier 4-6 = 6, 5, 5 range = 7 - 3 = 4 Tier 4-6 = 5, 6, 6, 7 mode = 5 Median = 14+1 = 7.5th =

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