• 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

# Mayfield High School Maths Coursework

Extracts from this document...

Introduction

Mayfield High School Maths Coursework

My Hypothesis

My first hypothesis which I have chosen to test is:-

THE HIGHER THE KS2 RESULTS OF STUDENTS, THE HIGHER THE IQ RESULTS ARE.

I have chosen this particular hypothesis because many students who tend to have a high IQ, have a high KS2 result too. I have also chosen this hypothesis because, many students at my school who have a high IQ tend to do well in their KS2 exams and get a high grade and therefore I would like to find this out for my-self.

The data which I will be using to find out if my hypothesis is right or wrong will be from Mayfield High School. All the data that I will need will be provided for me at school on the computers. This data will include a range of different information on students from years 7-11.

## Sampling

For my hypothesis I will be choosing a sampling size. I have chosen my sample size to be 50, as it will be more accurate. Also using the sample size of 50 will give me a wider range of data and therefore help me with my hypothesis more. There are various samples, which can be used.

Middle

99

4

4

4

100

4

4

4

92

3

3

3

92

4

3

3

96

3

3

3

106

5

5

5

103

5

4

4

100

4

4

4

103

4

4

5

100

4

4

4

98

4

4

5

92

3

3

4

My Graph

From my samples I am going to create a graph. I have decided to do a scatter graph because; it will make it easier for me to see if my hypothesis is correct. It will make it easier for me see this, as all my points will be plotted on the graph and therefore it will give me a better understanding of my results and also a clear view of my correlation line. Below is my graph:-

From the graph you can see that my hypothesis is correct. This is because as the IQ results are going higher, so are the KS2 results going higher. I think this because, the clever you are, the more intelligent you are, as you know many things and you can gain more marks. However, from the graph you can see that there is a strong positive correlation. We can see this because, as the KS2 results are going higher, the IQ goes higher too.

Conclusion

Σxy     Σx  Σy

------ - ----  ----

n        n      n

---------------------------------------------------------

Σx²       Σx   ²                    Σy²       Σy    ²

------ -   ----          X          -----  -   -----

n           n                           n          n

Σ

SD =         Σ χ ²             Σ χ       ²
-------    -     -------

n                  n

SD =         Σ y ²               Σ y          ²
-------    -      -------

n                  n

Top of Yxy: - 21732      5125        98

-------  -  -------  x  ------ = 434.64 – (102.5 x 1.96) = 233.74

50            50           50

Bottom of Yxy: -

527838          5125     ²

------------  -    ---------      =  7.105631569

50                 50

10556.74 – 10506.25 =    50.49

1. 98    ²

-------  -    -----     = 3.773380447

50            50

18.08 – 3.8416 =    14.2384

Yxy = 2.33.74 / (7.105631569 x 3.773380447)

Yxy = 2.3374 / 26.81225123

Yxy = 0.086900573

Yxy = 0.1 (1 D.P)

Conclusion

Conclusion for my product moment correlation coefficient

From working out the standard deviation, I have concluded that my regression line has no correlation. This is because my end result which I got after working out the standard deviation my regression line was 0.0869… This therefore, shows that my regression line has no correlation. However, I am able to tell that my regression line is a positive because it is not a negative number. This shows that my hypothesis was correct, but it was not strongly proved, as my regression line was not a perfect correlation.

Overall, from the whole hypothesis I found that the higher the IQ results a student has and more likely they are going to have a higher KS2 result too. You are able to see this on my graph earlier in the work. This therefore proves my hypothesis to be correct.

This student written piece of work is one of many that can be found in our AS and A Level Probability & Statistics 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 AS and A Level Probability & Statistics essays

1. ## Data Handling - Planning - I intend to investigate the relationship between the number ...

Mean Modal class interval Median Range Females 18 10-20 17 38 Males 19 20-30 20 38 From the Year 9 sample, the mean, modal class interval and median were higher for males than for females.

2. ## Statistics coursework

Finally, when investigating my hypothesis I have to remember factors that may affect my conclusion. One such factor is age. Therefore with every graph and diagram I will draw one for year 7's data and one for year 11's. This way age will not affect my conclusion and I can also look at how age affects IQ as well.

1. ## AS statistics coursework - correlation coefficient between height and weight in year 11 boys ...

I think that height and weight will be very dependant on each other. Height : Weight Females yr 11 Height in m (x) Weight in kg (y) x2 y2 xy 1.55 36 2.40 1296 55.8 1.63 44 2.66 1936 71.72 1.40 45 1.96 2025 63 1.63 47 2.66 2209

2. ## Statistics Coursework

the age of the students and their attendance figures at school or there is no relationship at all. However, the students' appreciation of the importance of their attendance figures does and this is why (in my opinion) the attendance figures vary between students.

1. ## I am going to design and then carry out an experiment to test people's ...

f is equal to 4.5x1.5 which is 6.75 The lower quartile is 15.5 and the upper quartile is 20 Therefore any reaction time below 8.75 and above 26.75 is an outlier. I will now eliminate the outliers. There were in fact no outliers in the 'am' boxplot but several in the 'pm' boxplot.

2. ## &amp;quot;The lengths of lines are easier to guess than angles. Also, that year 11's ...

The median can also be found. Estimated length < 4cm < 5cm < 6cm < 7cm < 8cm < 9cm Cumulative Frequency Year 11's 3 15 29 31 31 33 Cumulative Frequency Year 9's 3 12 20 27 This

1. ## How Can Samples Describe Populations?

This is referred to as the study population. A complete list is made of the study population, this is known as the sampling frame. [2] Finally, the sample is taken from the sampling frame. The selection in the sampling is an important step in preserving the quality, integrity and most

2. ## DATA HANDLING COURSEWORK

Both graphs will use the same sample data to provide a reliable comparison between the graphs. I will minimize the biasedness as much as possible by taking as much equal sizes of samples as possible from each year group and gender, excluding none of the strata.

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