• 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: 2838

Maths Coursework - Statistics Mayfield High School

Extracts from this document...

Introduction

                                                                                                               Sonal Halai 11Q

Maths Coursework – Statistics

Mayfield High School

Introduction

My investigation will be based on information from Mayfield High School, a fictitious school. I will use a wide range of mathematical techniques to present my data and findings in different ways. I will explore two different hypotheses for this piece of coursework.

Hypothesis 1

I believe that ‘Girls are more intelligent than boys’. I predict that this investigation will prove that girls are more intelligent than boys. There are plenty of surveys that show that key stage 2 results are higher for girls than boys. With this hypothesis I will also investigate whether ‘IQ results are directly proportional to Key Stage 2 results’. I believe that as the IQ result increases the Key Stage 2 result will also increase.

Plan

By comparing the differences between two factors, for girls and boys, I will be able to determine which gender is more intelligent. The two factors I will compare are IQ results and Key Stage 2 results.

I will be using a random sample of 100 students - 50 boys and 50 girls. These 100 students will be selected randomly from year 7. I will then use this sample to analyse the information and make judgements about it. I will make graphs and charts to show my results, which I will use to draw my conclusions on my information.

...read more.

Middle

Mark (m)

M < 2

M < 3

M < 4

M < 5

M < 6

Cumulative frequency

0

8

34

50

50

For the boys' Key stage 2 results, you can see from the curve that all three subjects are very close in the results that the students achieved. All three subjects had the same average level for the boys.

As you can see from the cumulative frequency table of results, most of the boys achieved a level 4 in all three subjects, which shows that the majority of boys do not excel in one particular subject.

The following table shows the chart with which I worked out class widths and frequencies for the histogram that shows the results for the boys' IQ.

Class interval

Class width

Frequency

Frequency density

70 < m < 90

20

2

0.1

90 < m < 105

15

33

2.2

105 < m < 110

5

10

2

110 < m < 120

10

5

0.5

I decided to use these class intervals for the construction of this histogram because they are most appropriate. The first class width started at 70 because from the information that I had gathered it did not show that any boys were achieving below this mark in their IQ. As there are not many people who were getting between 70 and 80 for their IQ results, I decided to make the interval slightly wider to 70 - 90 points. I used the next interval because there were a few people who would be put into this interval. I thought it best to have one overall interval that held the majority of students. I chose a small interval again for the next two because it seemed that they did not contain many students.

The average IQ result for the boys was 99.

The next thing I did was to find the average for the Girls' Key stage 2 results. Here is what I found:

English

5 + 5 + 5 + 5 + 5 + 5 + 4 + 4 + 4 + 4 + 5 + 4 + 4 + 5 + 4 + 4 + 3 + 3 + 4 + 3 + 5 + 5 + 4 + 5 + 4 + 4 + 3 + 3 + 4 + 4 + 4 + 4 + 5 + 4 + 5 + 3 + 5 + 4 + 4 + 5 + 3 + 5 + 5 + 5 + 5 + 4 + 5 + 5 + 5 + 4 = 215

215 = 4.3

50

Mean average girls' English result is level 4

Maths

6 + 4 + 5 + 5 + 4 + 5 + 4 + 4 + 4 + 4 + 5 + 4 + 3 + 5 + 4 + 4 + 3 + 3 + 4 + 3 + 5 + 5 + 4 + 5 + 4 + 3 + 3 + 3 + 4 + 4 + 4 + 4 + 4 + 5 + 5 + 3 + 4 + 4 + 4 + 5 + 3 + 5 + 4 + 5 + 4 + 5 + 5 + 5 + 5 + 4 = 210

209 = 4.2

50

Mean average girls' Maths result is level 4

Science

5 + 5 + 5 + 5 + 4 + 5 + 4 + 4 + 4 + 4 + 6 + 4 + 4 + 5 + 5 + 4 + 3 + 4 + 5 + 3 + 4 + 5 + 4 + 5 + 4 + 4 + 3 + 4 + 4 + 5 + 5 + 4 + 4 + 5 + 5 + 4 + 4 + 5 + 4 + 5 + 3 + 5 + 5 + 5 + 4 + 5 + 5 + 5 + 6 + 5 = 223

223 = 4.56

50

Mean average girls' Science results is level 5

However, although the mean averages for the girls' results say that the majority of girls are achieving level 4 in their key stage 2 results, if you compare this with the mode averages, then I get slightly different results.

The mode averages suggest that the majority of girls are achieving level 5 in their key stage 2 exams. (Excluding the maths results with which the average would still be level 4). The following tables show this:

Percentage and cumulative frequency tables for the girls' Key stage 2 Results

English

Mark ( M )

2

3

4

5

6

Frequency

0

7

21

22

0

Mark (m)

M < 2

M < 3

M < 4

M < 5

M < 6

Cumulative frequency

0

7

28

50

50

Maths

Mark (m)

2

3

4

5

6

Frequency

0

9

23

17

1

Mark (m)

M < 2

M < 3

M < 4

M < 5

M < 6

Cumulative frequency

0

9

32

49

50

...read more.

Conclusion

My results are not completely accurate due to the fact that I have rounded most of my figure to give an integer this means that my results are slightly wrong. Also when sampling I could have been biased and chosen the data to suit me this would mean that my results are not as precise as they should be. There are many factors which could slightly jeopardise my results such as there could have been a type error the list could go on.

...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. mayfield high statistics coursework

    Year Group Number of Boys Number of Girls Total 7 151 131 282 8 145 125 270 9 118 143 261 10 106 94 200 11 84 86 170 TOTAL 604 579 1183 I will use Stratified Sampling to investigate my First Hypothesis.

  2. Mayfield School Mathematics Statistics Coursework

    3.86 4.14 Median 4 and 4 4 5 Mode 4 4 4 4 Standard Deviation 0.88 0.83 0.83 0.91 Skewness Males Females Maths 0.44 -0.51 Science 0.72 0.46 [Tables 3 and 4: Male / Female Measures Of Spread And Skewness] Studying these values together with the combined scatter diagram inserted over the page, I can reach a conclusion.

  1. Mayfield High Statistics Coursework

    The reason for drawing cumulative frequency diagrams is because they can be useful for finding and representing statistical data such as upper quartile (75% of the cumulative frequency), lower quartile (25% of the cumulative frequency), range (biggest value subtracted by the smallest value)

  2. Edexcel GCSE Statistics Coursework

    The more calculations used will, in my opinion, enhance the reliability and understanding of the investigation and results, I will calculate the distribution, standard deviation and variance. I will also calculate Spearman's rank correlation coefficient, which will allow me to discover effortlessly the potency of correlation within a data set

  1. Maths Statistics Coursework - relationship between the weight and height

    The median is the 5oth percentile of the data and from this, the median tells me that perhaps that there are many heights for the girls that are around 1.6m. For the boys, this could just be a random average value that wasn't very common and it was in the middle.

  2. Maths Statistics Coursework

    1.65 58 Female 8 1.45 49 Female 8 1.40 48 Female 8 1.63 42 Female 8 1.60 46 Female 8 1.77 54 Male 8 1.70 49 Male 8 1.52 52 Male 8 1.50 41 Male 8 1.72 51 Male 8 1.67 52 Male 8 1.86 58 Male 8 1.42 26

  1. Investigation on the shape and size of limpets on a sheltered rocky shore called ...

    I know that the average lifespan of a limpet varies considerably depending on environmental conditions. Where there is lots of algae and food the limpets will be larger, and so growth is fast, and so from this I propose that, this seashore is abundant in algae and the environmental conditions are suitable for the limpets.

  2. Mayfield Maths Coursework

    * The pupil's AVERAGE NO. OF TV HOURS WATCHED: This can give a slight indication of a possible reason of the ability of the child. * The pupil's HEIGHT (m): This has nothing to do with the child's IQ. * The pupil's WEIGHT (kg): This has nothing to do with the child's IQ.

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