• Join over 1.2 million students every month
  • Accelerate your learning by 29%
  • Unlimited access from just £6.99 per month

This Investigation is to see if there is a correlational relationship between individuals G.C.S.E grades and their AS-Level grades, hence also individuals ability to adapt to a higher volume of more difficult study.

Extracts from this document...

Introduction

Maths Coursework - Statistics

Aims

This Investigation is to see if there is a correlational relationship between individuals G.C.S.E grades and their AS-Level grades, hence also individuals ability to adapt to a higher volume of more difficult study. This is a particularly relevant area to research as I am currently studying at Sir John Deanes College in Northwich. I am interested in seeing how well individuals do at a higher level of education, when they are often under a higher degree of pressure due to other aspects of life.

Data Collection

In this investigation the population is the students who attend Sir John Deanes College in Northwich. As this is a large college a sampling method clearly needs to be used. When I originally collected my data I obtained information from two Art classes, two Maths classes and two English classes, in effort to obtained results from students who excelled in different academic areas. Once this data was obtained I stratified these 66 results into 50 results, representative of the number of participants originally sampled.

Sampling

50 Participants data needed from the original 66 obtained, the sum to calculate how many of each were needed is:

(Subject total/Overall total)*50

No. Needed

English

18

Maths

18

Art

14.3

N.B.

...read more.

Middle

Maths

Female

3.8

3.4

28

Maths

Female

3.75

3.4

29

Maths

Female

3.9

4.25

30

Maths

Male

4.6

1.4

31

Maths

Male

3.36

2

32

Maths

Female

4.8

3

33

Maths

Female

5.6

4.8

34

Maths

Female

4.25

1

35

Maths

Male

4.2

2.2

36

Maths

Female

3.55

4

37

Art

Male

4.5

4

38

Art

Female

3.75

3.6

39

Art

Female

3.3

1.5

40

Art

Female

3.38

2.75

41

Art

Female

5

3.6

42

Art

Female

5.1

4.5

43

Art

Female

3.3

2.75

44

Art

Female

4.2

3

45

Art

Male

5.6

5

46

Art

Male

4.6

3

47

Art

Male

3.5

2.4

48

Art

Male

4.18

3.4

49

Art

Male

4.9

3.8

50

Art

Male

4.9

4.4

Above is the data after sampling had taken place. This data was put in a scatter graph using a program called Autograph®, and a line of best fit was also drawn to help illustrate the linear relationship between the two random variables, This can be seen below:

image00.png

The above scatter graph indicates an approximate elliptical shape as well as linear relationship. Both of the variables are also random. Therefore I will use Pearson’s Product Moment Correlation Coefficient (P.P.M.C.C.) which will indicate the strength of the relationship, allowing me to formulate a hypothesis test to see if this relationship is significant, using critical values.

Shown Below is the Calculations done to find out the correlation coefficient for this data:

GCSE(x)

AS (y)

(x-mean x)

...read more.

Conclusion

        Another flaw in this investigation is that it focuses on only students from three subject areas: Maths, English and Art. It is clear this is not representative of the entire population of students and doesn’t collect a broad enough set of data to give results that can be generalised. To counter this problem participants from a broader range of subjects would need to be sampled, this would allow the results to be much more representative.

 The data used in this sample was exclusively from students at Sir John Deane’s College in Northwich, a centre of excellence which has high entry grades (B grades at G.C.S.E.) therefore again the results show only a section of the relationship between the two levels of education. This means that results cannot be generalised to a wider population. To help stop this problem the investigation would have to take samples from students at different colleges with varying entry requirements to give conclusions that could be more easily generalised.

...read more.

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.

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 Height and Weight of Pupils and other Mayfield High School investigations essays

  1. A hypothesis is the outline of the idea/ideas which I will be testing and ...

    4 I will now begin my Statistical Investigation on this particular hypothesis and I will represent my data in many various methods and also produce analyse after each graph that I will be producing. I will begin with firstly forming a pie chart at the number of students in my

  2. Edexcel GCSE Statistics Coursework

    and 55KG whereas half the men's weights lie between 45 and 60KG. The highest value for females is 70KG (ignoring the outlier) and for males: 75KG, the median for the males' weight is 5KG higher than that of the females.

  1. I would like to know whether there is a link between ability in Maths ...

    4 8 Male 4 3 8 Male 4 5 8 Male 4 4 8 Male 4 4 8 Male 4 4 8 Male 4 6 8 Male 4 3 8 Male 4 4 8 Male 4 4 8 Male 4 3 8 Male 4 4 8 Male 4 4 8

  2. What affects a persons ability to estimate?

    Having a low standard deviation would show the results to be more reliable, whereas a high standard deviation would mean not so reliable data has been collected. Mean average Standard Deviation Year 7 9.28cm 2.90 Year 11 8.11cm 1.56

  1. GCSE maths statistics coursework

    height (m) frequency 1.45<x<1.5 1 1.5<x<1.55 8 1.55<x<1.6 3 1.6<x<1.65 3 This is a table to show the cumulative frequency of the height of the boys in year 7. height (m) cumulative freq. <1.45 0 <1.5 1 <1.55 9 <1.6 12 <1.65 15 I will now draw a cumulative frequency graph of the data.

  2. Mayfield Maths Coursework

    I think that boys will be proven to be cleverer than girls. I will show this by doing a cumulative frequency graph. I believe that the results for the girls will be more towards the left of the graph whereas the results For the boys will be more towards the right.

  1. Is race and intelligence a justifiable area of research in psychology?

    Until the causes of these differences between generations are identified then the cultural variants that are important are unknown. This means that between groups cultural distance cannot be proved to be dissimilar. Subsequently IQ differences cannot be used to identify between groups differences.

  2. Mayfield igh Investigation

    168 31 51 162 35 30 137 36 48 160 42 44 152 45 45 174 49 39 160 57 38 163 59 60 170 65 47 168 67 38 156 71 50 155 75 66 160 77 45 159 80 48 152 81 42 153 84 50 169 Year 11 Boys Sample Number Weight(kg)

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