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  • 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.

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