• 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: 1296

Data handling - Compare the weight and height of students from years 7and 11.

Extracts from this document...

Introduction

Data handling

Coursework

Introduction

        In this investigation I am going to compare the weight and height of students from years 7and 11. I am going to look at the database on Mayfield high school. The sheets I was given, had information containing the names, gender, height and weight of students in years 7 to 11. The list was also in alphabetical order. We have chosen to work with a sample size of 30 students, 15 girls and 15 boys. We had to choose between 5 different methods to choose our samples, these were: -

        Systematic sampling

        Quarter sampling

        Cluster sampling

        Stratified sampling

Random sampling

I have chosen to use the random sampling method. To use this method I need to know some information on students at Mayfield high school. E.g.

...read more.

Middle

1.64

48

Lloyd

Leanne

F

1.52

45

Massey

Kristy

F

1.62

65

Miles

Amanda

F

1.46

40

Murphy

Kim

F

1.36

44

Oakes

Sarah

F

1.54

42

Simpson

Penny

F

1.59

36

Spencer

Angela

F

1.62

40

Year 11

Berry

Shelly

F

1.73

64

Green

Teresa

F

1.37

30

Wilson

Charlene

F

1.37

30

Thompson

Jade

F

1.52

48

Ratty

Louise

F

1.65

59

Warwick

Emma

F

1.69

50

Murphy

Stacey

F

1.62

54

Biddle

Vicky

F

1.56

50

Alexander

Claire

F

1060

54

Hayson

Louise

F

1.57

48

Heap

Louise

F

1.86

42

Grace

Davina

F

1.65

54

Buyram

Dawn

F

1.65

42

Potter

Tara

F

1.78

55

Stevenson

Sarah

F

1.59

45

Now I need to work out the mean/height of year 7 and year 11

E.g. mean of heights

                        Add all heights together and divide by 15, as there are 15 girls and 15 boys

It is the same for weights

This is what I got from the results: -

Year 7 Boys mean height-1.56

Year 7 Girls mean height-1.52

Year 7 Boys mean weight-48.9

Year 7 Girls mean weight-45.6

Year 11 boys mean height-1.74

Year 11 girls mean height-1.63

Year 11 boys mean weight-49.5

Year 11 girls mean weight-62.2

Graphs

Mean height

image00.png

Mean weight

image01.png

Frequency table

        Year 7 height

Height groups

Girls

Boys

1.10-1.20

1

0

1.21-1.30

0

0

1.31-1.40

1

0

1.41-1.50

3

3

1.51-1.60

7

8

1.61-1.70

3

4

1.71-1.80

0

0

1.81-1.90

0

0

1.91-2.00

0

0

...read more.

Conclusion

(m)

Cumulative frequency

Boys

Girls

Mixed

1.10-1.20

0

1

1

1.21-1.30

0

1

1

1.31-1.40

0

2

2

1.41-1.50

3

5

8

1.51-1.60

11

12

23

1.61-1.70

15

15

30

1.71-1.80

15

15

30

1.81-1.90

15

15

30

1.91-2.00

15

15

30

Year 7 weights

Weights

(Kg)

Cumulative frequency

Boys

Girls

Mixed

20-30

0

0

0

31-40

3

0

3

41-50

10

1

11

51-60

14

9

23

61-70

14

12

26

71-80

15

14

29

81-90

15

14

29

91-100

15

15

30

Year 11 heights

Heights

(m)

Cumulative frequency

Boys

Girls

Mixed

1.10-1.20

0

0

0

1.21-1.30

0

0

0

1.31-1.40

0

1

1

1.41-1.50

1

1

2

1.51-1.60

3

6

9

1.61-1.70

6

12

18

1.71-1.80

9

14

23

1.81-1.90

13

15

28

1.91-2.00

15

15

30

Year 11 weight

Weights

(Kg)

Cumulative frequency

Boys

Girls

Mixed

20-30

1

0

1

31-40

1

0

1

41-50

9

1

10

51-60

14

9

23

61-70

15

12

27

71-80

15

14

29

81-90

15

14

29

91-100

15

15

30

Cumulative Frequency graphs

Year 7 heights

Year 7 weights

image02.png

Year 11 height boys

image03.png

Year 11 weight boys

image04.png

Scatter graph

Year 7 Heights/weights-girls

image05.png

Year 7 heights/weights-boys

image06.png

Year 11 heights/weights-girls

image07.png

Year 11 heights/weights-boys

image08.png

Conclusion

As my prediction mentions the weight and height of year 11 is a lot bigger than year 7 so my prediction was correct. I was surprised by the weight on some of the girls in year 11. Whether it was a fair test or not I would say no, because there are more students in year 7 than year 11 so the odds are slimmer.

Sam Walker                year 11

...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. Statistics GCSE Coursework. Height and weight of pupils. The sampling method I am ...

    heavier you are, you can tell this as the height in each year increases so does the weight, you can see that the relationship is strong as there are no results that do not fit into this pattern. If I wanted to make my data more reliable I could collect

  2. I would like to know whether there is a link between ability in Maths ...

    Female 4 4 8 Male 4 4 7 Male 3 5 8 Female 5 5 9 Female 4 4 9 Female 3 3 8 Male 4 4 7 Male 4 4 7 Female 5 5 7 Male 4 5 8 Male 4 4 8 Male 4 4 9 Female 4

  1. Maths Data Handling

    5, 5, 5, 5, 5 0, 0 180 0, 5, 7 190 0 Conclusion Height (cm) Mean Modal Class Interval Median Range Girls 161.7 160-170 160 60 Boys 163.6 160-170 162 70 In the sample, the mean and median height was a little higher for the boys than for the

  2. Data Handling Project : Heights of Girls

    Also the boys have a greater interquartile range. I can tell this because of the shape of the curves. The girls have a tight distribution. I can tell from the year 11 cumulative frequency graph for height that boys are taller since because many more boys still or the graph even after the tallest girl has been counted for.

  1. Maths: Data Handling Coursework

    I then multiplied the answer by the sample size of 300. For example, the number of people in year 7 is 151. I divided the number by overall total of 712. I then multiplied the answer by 300. I used the method of stratified sampling to help me choose my sample size.

  2. mayfield high school handling data coursework

    To find out how much people I needed for each year divided the number of students in the year by the total students and then times it by the sample size. Year 7= 282�1183 � 250= 59.9594= 60 (2 sig fig)

  1. Data Handling - Height and Foot Length

    157.5 160 < h < 165 162.5 1 162.5 165 < h < 170 167.5 1 167.5 TOTALS 15 2242.5 Mean 2242.5/15 = 149.5cm Median 15/2 = 7.5 145 + ((2.5/4) x 5) = 148.1cm Mode 145 < h < 150 Range 167 - 138 = 29cm Systematic Female Height

  2. Data Handling Project

    Weight (kg) 7 Austin Steven 1.54 43 7 Lloyd Mark 1.61 56 7 Mills Robert 1.63 50 7 Pearce Stuart 1.50 34 7 Thorpe Billy 1.53 40 8 Freeman Ian 1.82 64 8 Jones Kevin 1.62 49 8 McGrail Craig 1.38 35 8 Peter Zakir 1.63 41 8 Wilson Christopher

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