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

maths coursework sampling

Extracts from this document...

Introduction

    GCSE Coursework :

                                              INTRODUCTION

The data which I have to use in this coursework was collected from 100        Year 7 (50 boys, 50 girls) and from 100 Year 10 (50 girls , 50 boys). All the pupils were asked  to estimate measurements on the data collection sheet given to them.

  1. the lengths of two lines
  2. the sizes of two angles
  3. the area of two shapes

Aim:

Statistics is a very important tool in analysing data and it is the science of summarising and analysing data that are subject to random variation.  The main purpose of this investigation is to test 3 hypothesis by analysing  the data .  

.

Plan:

Sampling

Usually it is not possible to study the entire population in which one is interested. It is therefore necessary to consider a sample and to relate its characteristics to the total population. To begin my task I need a sizeable and manageable set of data to use and test. The data provided comprises of 200 pupils. I wish to sample this data so that samples could be analysed statistically to see the relationship between two selected variables for the entire data collected from upper and middle sets of year 7 and year 10.

Although there are various ways of sampling the data, but I will stick to three main types of sampling which would be random, stratified and systematic. I shall also make sure that any bias is avoided during this sampling technique

...read more.

Middle

I have accepted this hypothesis because I have produced a scatter graph for the above data and there is positive correlation between the estimates of  length A and  estimates of length B Year 7 pupils.

Numbers

Length A

Length B

1

30

62

2

35

80

3

30

40

4

40

90

5

50

140

6

30.5

90.5

7

3.5

6.5

8

1.5

25

9

13

253

10

3

7.5

11

25

95

12

25

60        

13

35

110

14

25

65

15

25

100

16

34

95

17

50

120

18

13

28

19

35

100

20

30

80

21

30

70

22

30

60

23

35

65

24

40

90

25

40

100

26

35

72

27

40

70

28

50

100

29

34

100

30

32

63

Hypothesis 2

The distributions of estimates for angle C

...read more.

Conclusion

Overall, two hypothesis’ tell me that year 10 are better at estimating but hypothesis 1 may overrule this statement.  

Hypothesis 3

By looking at frequency polygon, I would  say that my hypothesis is right. The distributions of estimates of Length A for Year 7 are approximately the same as they are for Year 10.  The standard deviation also clearly shows that Year 10 estimates were less distributed than Year 7. The standard deviation shows that Year 7 estimate range was 20.419 degrees and Year 10s was 6.892 degrees. This clearly shows that the year 7 standard deviation was much more hence the estimates were much more distributed. Year 7s mean was also a lot closer to the correct answer than Year 10s. Year 7s mean was 32.27 while Year 10s was 26.22. The correct answer was 15 degrees and 26.22 is closest. This shows that age does matter. Year 10 results were generally close to the correct answer and this suggests my hypothesis wrong. This is probably because Year 7 do not have the required skills at year 7 because they year 10 students are more aware of estimation and have a higher range of mathematical skills than year 7.

...read more.

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

See related essaysSee related essays

Related AS and A Level Probability & Statistics essays

  1. Standard addition was used to accurately quantify for quinine in an unknown urine sample ...

    method to use as an approximation of 100 �g cm-� was known before the experiment was carried out, therefore, the value obtained is likely to be close to the approximate concentration contained in the unknown sample.

  2. Mayfield High School Maths Coursework

    5 5 5 100 4 4 4 104 5 4 5 100 4 4 4 109 5 5 5 97 4 4 4 100 4 4 4 112 5 5 5 100 4 4 4 114 5 5 5 100 4 4 4 105 5 4 4 89 3 3

  1. GCSE Mathematics Coursework: Statistics Project

    To find the median and interquartile ranges, Excel will be used. o Analyse and compare the amount of TV girls and boys watch on average by doing box and whisker diagrams. Box and Whisker Diagrams for the Boys' weights and the Girls' weight: Formulae was used in the Excel worksheet

  2. Investigating the Relationship Between the Amount of Money a Football Club Receives and its ...

    6 36 29 3 8 12 16 34 56 8000 �186,000 -11 3 Southend Utd 18 46 8 6 9 24 21 6 6 11 28 37 54 12306 �893,000 -6 3 Swansea City 7 46 11 9 3 33 19 8 5 10 23 29 71 10402 �0 8

  1. I am investigating how well people estimate the length of a line and the ...

    36 39 52 52 +82 630 630- 20= 31.5% Year 7 girls: 45.5% Year 7 boys: 20.625% 45.5 +20.625 66.125 66.125- 2= 33.0625= 33.1%(1dp) Year 7 percentage error, as used for hypothesis 1 (Year 10 will be better at estimating the size of an acute angle than Year 7)

  2. The aim of this investigation was to look at the reliability and validity of ...

    The second aspect is developing population norms, which are general tables allowing comparison between one persons scores and another's, like our Raw Score Data Table. The third is a little more complicated; involving making sure that the outcome conforms to established standards, and that everyone involved fully comprehends the implications and is comfortable with it.

  1. Guestimate - investigate how well people estimate the length of lines and the size ...

    We will use the pilot data to note down our errors and then use the secondary data as our real investigation. No Name Year Angle 1 (degrees) Angle 2 (degrees) Line 1 (cm) Line 2 (cm) 11 Rosie Hempstead 10 120 44 6 6 70 Laura Coveney 10 110 30

  2. "The lengths of lines are easier to guess than angles. Also, that year 11's ...

    / (w) Mid-Point (x) (f) x (x) 20 ? � < 30 1 10 0.1 24.5 24.5 30 ? � < 35 3 5 0.6 32 96 35 ? � < 40 7 5 1.4 37 259 40 ? � < 45 7 5 1.4 42 294 45 ?

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