• 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
  10. 10
    10
  • Level: GCSE
  • Subject: Maths
  • Word count: 1411

Mathematics coursework

Extracts from this document...

Introduction

Mathematics coursework

Introduction

Al the way through my coursework I will be exploring the positive and negative correlation between IQ scores and exam results in The Swaminarayan Independent day school. I also used data provided by Edexcel on the KS2 results and the IQ results in the Mayfield School. I will be carrying out investigation to see whether the IQ results have any significance towards how a student performs in his exams.

Mayfield Data

IQ

89

103

98

108

94

91

116

104

103

90

97

116

94

113

106

95

105

101

Total KS2 results

9

13

9

15

10

11

15

13

13

12

10

15

10

12

13

12

13

12

As you can see above, there are the first 30 IQ results by the Mayfield data. I will now try and prove that there is some kind for correlation between these two sets of data above. I will create a scatter graph in the Edexcel programme.                

image01.png

As you see above, there is a positive correlation between the IQ scores and the total KS2 results. Now I will see whether there is correlation between the IQ scores and the English scores.

IQ

English

89

3

103

4

98

3

108

5

94

3

91

4

116

5

104

4

103

5

90

4

97

2

116

5

94

4

113

4

106

5

95

4

105

4

101

4

image02.png

As

...read more.

Middle

From Table 1:                            

  1. 2
  2. 8
  3. 6
  4. 11

From Table 2:

  1. 4
  2. 5
  3. 9

From Table 3:

  1. 6
  2. 10
  3. 2
  4. 20
  5. 8
  6. 22
  7. 17
  8. 5

From table 4:

  1. 16
  2. 5
  3. 6
  4. 10
  5. 4
  6. 14
  7. 9

From Table 5:

  1. 6
  2. 21
  3. 14
  4. 7
  5. 17
  6. 12
  7. 11
  8. 4

Proving My Hypothesis.

Because everything has been decided I shall now make a scatter graph to prove my hypothesis. I will distinguish whether there is a correlation and then use the Spearman’s Rho Theorem to learn the strength of the correlation.  

image03.png

 As seen above there is positive correlation between the Maths results and the CAT results.

I will know learn the strength of the two positive by using the Spearman’s Rho Theorem.

Spearman’s Rho Theorem

I will be explaining the method in steps to ensure clarity.

...read more.

Conclusion

N.

Step 3

I will now have to count the number of paired scores. In this case the number of paired scores is 30. So N=30.

Step 4

I will now multiply N by it’s own value, twice, then subtract it’s own value.

(30*30*30)-30 =27000-30=26970.

Step 5

I shall now total all the values in the column D2.

49+110.25+1+20.25+12.25+0.25+4+42.25+6.25+6.25+64+1+100+30.25+272.25+49+1+1+625+1+0+2.25+36+81+16+81+225+20.25=

1872.25

Step 6

I will now multiply the value I obtained in step 5 by 6; then divide the result by the value I found in step 4.

1872.25*6 = 11233.5 =0.4165 to four d.p

   26970         26970

Step 7

I shall now find Rho by subtracting the number I obtained in step 6 from 1.

1-0.4165=0.5835

Step 8

My Rho number has exceeded all of the numbers below:

0.306

0.364

0.432

0.478

My Conclusion

I am going to end my coursework by expressing how I would improve on my hypothesis should the opportunity to repeat it arise. I may use a bigger population or maybe use different methods to randomize numbers. I am glad that my hypothesis didn’t turn out to be a null one. From this investigation I have learnt a lot about statistics and would jump at the opportunity to learn more about the topic.  

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

    same sort of background, live in the same areas and probably have the same sort of views on gender roles. If a wider range of participants were used, such as people unknown to the experimenter, standing in the middle of a town centre, for example, and asking people walking by

  2. Mathematics Statistics Coursework

    Year 7 Boys; Year 7 Girls; Year 11 Boys; Year 11 Girls. For each incorrect or incomplete data, I will use it as an outlier, displaying it with a box plot. I am going to create data tables of many samples to show the differences of different samples and groups.

  1. GCSE Statistics Coursework

    Keep the same lighting conditions with each person. Make sure there are no objects to compare the line with. Tell the pupils something to inspire them to do the experiment to their best ability like there is a prize for the most accurate answer. Make sure no one has eye problems so they don't have to do it and cause anomalies.

  2. Guestimate - Data handling coursework

    6 1 14 30 25 45 M 5 2 29 30 25 45 M 4 3 43 30 25 45 Calculation, diagram and analysis Hypothesis 1 Hypothesis 2 Further calculations We worked out the following calculations using the Microsoft Excel.

  1. Mayfield Maths Coursework

    leaf diagram for the correlation between sick days's and weight, to find the mode, mean and median now should be easier Average of weight: (E2:E51) = 73.18 Average sick days: (F2:F51) = 3.16 That is one way of finding an average to support the correlation between weight and sick days.

  2. The 3 statements I am going to investigate are: -Does the gender of the ...

    then squaring this answer. = 0.41+0.41+0.41+0.41+0.41+0.13+0.13+0.13+0.13+0.13+1.85 = 4.55 So = 0.640 to three decimal places Comparing the standard deviation of boys in year 10 to boys in year 11 you can see that the year 11 seem to have been slightly smarter, with their result being slightly more concentrated around the mean.

  1. Maths Coursework: investigation into the correlation between IQ and KS2 results

    Stapeley Jane F 5 5 113 5 45 8 Emmans Jane F 4 4 100 4 46 8 Dolton Teyuba F 3 3 89 3 47 8 Smith Susan F 4 4 102 4 48 9 Jones Brian M 5 4 103 4.5 49 9 Burgess John M 5 4

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

    However this part of my Hypothesis was wrong. I then continued my investigation with: The IQs for non blonde girls and blonde girls are normally distributed. For this I will need to produce 2 histograms and see if the required % of data falls into the relative amounts of standard deviation.

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