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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.

Middle

1.64

48

Lloyd

Leanne

1.52

45

Massey

Kristy

1.62

65

Miles

Amanda

1.46

40

Murphy

Kim

1.36

44

Oakes

Sarah

1.54

42

Simpson

Penny

1.59

36

Spencer

Angela

1.62

40

Year 11

Berry

Shelly

1.73

64

Green

Teresa

1.37

30

Wilson

Charlene

1.37

30

Thompson

1.52

48

Ratty

Louise

1.65

59

Warwick

Emma

1.69

50

Murphy

Stacey

1.62

54

Biddle

Vicky

1.56

50

Alexander

Claire

1060

54

Hayson

Louise

1.57

48

Heap

Louise

1.86

42

Grace

Davina

1.65

54

Dawn

1.65

42

Potter

Tara

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

Mean weight

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

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

(m)

1.10-1.20

1.21-1.30

1.31-1.40

1.41-1.50

1.51-1.60

1.61-1.70

1.71-1.80

1.81-1.90

### 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

Year 11 height boys

Year 11 weight boys

###### Scatter graph

Year 7 Heights/weights-girls

Year 7 heights/weights-boys

Year 11 heights/weights-girls

Year 11 heights/weights-boys

###### 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

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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