• 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
11. 11
11
12. 12
12
• Level: GCSE
• Subject: Maths
• Word count: 2183

The purpose of this investigation is to find if there is any correlation between two variables extracted from 5% random sampling of the Mayfield Data provided.

Extracts from this document...

Introduction

GCSE Statistics Coursework - Mayfield Data Title: The purpose of this investigation is to find if there is any correlation between two variables extracted from 5% random sampling of the Mayfield Data provided. Introduction: In this GCSE coursework, I will be trying to prove three hypotheses, by using statistical techniques we have learned throughout the GCSE course. My line of enquiry will be based on the relationship between a pupil's IQ and various Key Stage 2 results. I will consider using methods such as histograms (or bar charts), box-and-whisker plots, mean, median, mode, standard deviation, scatter diagrams, product-moment correlation coefficient (PMCC), quartiles and various diagrams to represent the data - depending on which of those is suitable for my hypothesis. After the collected data is analysed, the method is explained and I will explain why I have chosen to use that particular technique. Upon each method, I should be able to draw a conclusion on whether or not there is a correlation between the data I have chosen to compare. In order for the coursework to be improved for further investigations, the evaluation at the end will suggest ways of improving the method used, or perhaps choosing to use another (more suitable) ...read more.

Middle

113 12769 4 16 452 41 108 11664 5 25 540 42 90 8100 3 9 270 43 101 10201 4 16 404 44 102 10404 4 16 408 45 89 7921 3 9 267 46 102 10404 4 16 408 47 91 8281 4 16 364 48 90 8100 3 9 270 49 106 11236 4 16 424 50 100 10000 4 16 400 51 105 11025 4 16 420 52 101 10201 4 16 404 53 103 10609 5 25 515 54 101 10201 4 16 404 55 87 7569 3 9 261 56 100 10000 4 16 400 57 126 15876 6 36 756 58 104 10816 5 25 520 59 78 6084 2 4 156 60 104 10816 4 16 416 61 98 9604 5 25 490 62 97 9409 4 16 388 63 106 11236 5 25 530 Total 6347 645523 255 1073 26078 Scatter diagram I have chosen to use the scatter diagram because it can compare two sets of data and find out if there is any correlation between them. From this diagram below, there is a clear positive correlation between a pupil's IQ and their KS2 mathematics results. These two variables are related since a person's intelligence quotient will affect their performance at certain subjects that require mind work. ...read more.

Conclusion

Both the scatter diagram and PMCC was suitable for this hypothesis, as it gave a clear indication of the correlation. Appendix Estimated Standard Deviation Standard deviation is a measure of how widely values are dispersed from the mean. Since we used the random sampling method, therefore estimated standard deviation is used, which is based on the 5% sample. The larger the dispersion of the data, the larger the value of the standard deviation. One disadvantage of the standard deviation is that it is more difficult to determine compared to other measures of dispersion and extreme values may have an affect the result as the deviation from the mean is squared. The standard deviation method is calculated using the 'non-biased' or 'n-1' method. Estimated standard deviation uses the following formula: Product Moment Correlation Coefficient Although the scatter diagram will determine whether two variables are correlated, you have no measure of the strength of this correlation. The product moment correlation coefficient (PMCC) will give an indication of the strength of correlation. The formula below is used: Mean The mean will give an indication of the average value in a set of data values. Although it gives the average, this can definitely be misleading as it takes into account all the extreme values. Nonetheless, the following formula is used: Edexcel GCSE Mathematics Coursework - Dispatch 1 Syllabus 1388 (H) -Mayfield High School Michelle Lee Reference No. 006134 1 ...read more.

The above preview is unformatted text

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

Related GCSE IQ Correlation essays

1. Perform a statistical enquiry that will either prove or disapprove my hypothesis.

To achieve that we use Random sampling. For example, random sampling is when you have bag full of balls, some red, some blue. You need to take 5 balls from the bag. Random sample would be if you just put your hand in without looking and picked a ball out.

2. Comparison of SATs results to obtain statistical data on students.

The median level for females in English is: Frequency= 24 Median= 12th and 13th values Median= level 5 The median level for males in English is: Frequency= 25 Median= 13th values Median= level 5 The median level for English over all three years is: Frequency= 45 Median= 23rd values Median=

1. Guestimate - Data handling coursework

This would also give me a large sample of data, so it will be easier to compare the relationships of the hypothesis, i.e. Males against Females & Line against Angles. Questionnaire / survey sheet Questionnaire Please tick one of the boxes: Male Female How long do you think this line is?

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

I will go out using the same process in which I calculated the standard deviation for boys in year 10. Below is the table needed for standard deviation, which I made by now taking the levels achieved by boys in Year 11 for English and subtracting them from the mean (4.64)

1. Mathematics Statistics Coursework

I will calculate standard deviation using a calculator and the formula is shown on the next page: For grouped data, I will use another method for standard deviation, and the formula for it is shown below: For hypothesis 2, I will use Autograph 3.2 as well, and calculate the cumulative

2. GCSE Statistics Coursework

290 170 230 243 160 273 228 231 267 298 367 350 350 143 250 360 300 The red results are for the three practices and are not needed. The problem is that 14 of the 26 results in the first column are been estimated in cm so to improve

1. Maths data handleling

Out of the sample I took I used all of them to see if there was any relationship.

2. 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.

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