• 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
  • Level: GCSE
  • Subject: Maths
  • Word count: 1735

Investigation of shoe size and height from Mayfield high school database.

Extracts from this document...

Introduction

Maths Coursework

Holly Budgen 10G

Investigation of Shoe Size and Height from Mayfield High School Database

INTRODUCTION

          I will use the fictional database from Mayfield High School to do my investigation. I would like to investigate the relationship between:

  • Boy’s height and girl’s height
  • Boy’s shoe size and girl’s shoe size
  • Boy’s height to shoe size ratio
  • Girl’s height to shoe size ratio
  • The differences between the two ratios

     This will show me the gender variation. I will use a sample of 30 boys and 30 girls from the original 1183 students in the database. I will take a fair sample by using random sampling. I will take a stratified sample of 120, and from this I will use a random number table to get the desired 60 students, which I will base my investigation on.

     From these 60 samples I will work out the mean, median, mode and range to research the topic. I will create graphs and pie charts to analyse the information I will collect. I feel this will assure the observations I make are successful. I will be able to compare them successfully and make a valid conclusion.

SAMPLE    

     Below is the data I have collected:

image00.png

7

1.63

5

1.61

11

1.57

11

1.55

9

1.72

7

1.65

11

1.67

10

1.74

12

1.88

9

1.70

4

1.80

7

1.73

12

1.67

3

1.33

13

2.06

2

1.65

...read more.

Middle

1.40-1.49

2

1.50-1.59

9

1.60-1.69

11

1.70-1.79

5

1.80-1.89

1

30

Boys Height

Height

Tally

Frequency

1.50-1.59

10

1.60-1.69

9

1.70-1.79

6

1.80-1.89

4

1.90-1.99

0

2.00-2.09

1

30

     I have worked out the mean, median, mode and range for the height in similar ways as for the shoe size. I worked out the mean by multiplying the frequency by the mid point of each group. I added up all of these results and then divided by thirty. The median, mode and range are the same as for the shoe sizes.

     The figures I have worked out from the data seem quiet promising, and already I have observed:

  • The differences between the boy’s shoe size mean and the girl’s shoe size mean,
  • The differences between the boy’s height mean and the girl’s height mean,
  • The difference between the range in girl’s height and boy’s height,
  • And many more observations can be made.

     From this data I will make a stem and leaf diagram.

STEM AND LEAF DIAGRAMS

Boys Height

Stem

Leaf

Frequency

Cumulative frequency

1.50

2,4,4,5,5,7,7,8,9,9

10

10

1.60

0,2,3,3,5,6,7,7,7

9

19

1.70

2,2,2,3,3,5

6

25

1.80

0,0,2,8

4

29

1.90

0

29

2.00

6,

1

30

Girls Height

Stem

Leaf

Frequency

Cumulative frequency

1.30

2,3

2

2

1.40

3,5

2

4

1.50

1,1,2,2,3,4,5,5,7

9

13

1.60

0,0,1,1,2,3,5,5,5,5,5

11

24

1.70

0,0,3,3,4

5

29

1.80

0,

1

30

     A stem and leaf wouldn’t be appropriate for shoe size so I only mad them for height. They are very useful, as they will help me make a cumulative frequency graph

CUMULATIVE FREQUENCY

image01.png

VARIENCE

...read more.

Conclusion

     The cumulative frequency graph I have drawn is useful too. It shows the differences between boy’s height and girl’s height, of which there are lots. They both follow the same pattern, but boys on average are clearly taller than girls.

CONCLUSION

     After my successful collected sample, I feel I presented the data well, allowing myself to make some good observations. Now I feel I am able to conclude my results.

  • I have clearly proven that on average, boy’s feet are larger than girl’s feet.
  • I have also proven boys on average are taller than girls
  • From the graphs the slight positive correlation shows that with girls and boys, when height increases so does shoe size.

     If I wished, I could research this subject further, perhaps by using a larger sample of boys and girls, or perhaps by using more accurate measurement, (perhaps heights to one decimal place). If I had measured the boys and girls myself, it may have been a more accurate investigation. But overall, considering the data I had to complete the investigation, I feel it turned out well. I am happy with the results I have collected and feel I have made a valid conclusion.

...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

    Here is another copy of the two-way table of the table, which helps me form my sampling method. 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

  2. An Investigation into the height to length ratio of Limpets on exposed and sheltered ...

    However, its shell shape is complementary to the unique rock shape. This is a problem as on removing the limpet the rock may and so the limpet may not fit in again. The limpet shell's height to base ratio will be the basis of the study.

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

    Larger limpets are found on the upper shore, as the risk of desiccation is greater up the shore. Larger limpets have a lower surface area to volume ratio reducing water loss. Where as limpets on the lower shore are a lot smaller in size and have a bigger surface area to volume ratio.

  2. Trolley Investigation

    The line of best fit on the graph is an exponential curve. This means that the velocity increases until it gets to a certain height when all of the velocities higher than that will be the same. I squared the results for v to get the results for v�.

  1. Does Foot Size Increase With Height and Do Boys Have Larger Feet than Girls?

    All of these combined will help me to reach the conclusions I will state at the end of my investigation From my 518 male and female statistics I will systematically random sample 21 height and foot size statistics of each sex this will allow me to handle and analyse my data more easily and efficiently.

  2. Mayfield High School Project

    I am now going to extend my investigation and see how height and weight can be related, and to do this the most effective way is by producing scatter diagrams. I will plot male and female pupils on separate graphs as I feel the results will produce a stronger correlation

  1. Mayfield igh Investigation

    168 31 51 162 35 30 137 36 48 160 42 44 152 45 45 174 49 39 160 57 38 163 59 60 170 65 47 168 67 38 156 71 50 155 75 66 160 77 45 159 80 48 152 81 42 153 84 50 169 Year 11 Boys Sample Number Weight(kg)

  2. Introduction to arodynamics - Investigation into the design features of aircraft.

    These strakes, in conjunction with the upper surface of the engine air intakes will induce a vortex which will maintain lift to very high angles of attack. Figure 9. Lift gained due to strakes b. Intakes. As previously mentioned one important consideration in the design of the F-15 is to operate at high AoA.

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