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  • Level: GCSE
  • Subject: Maths
  • Word count: 2655

The aim of this investigation is to find whether there is correlation between height and weight

Extracts from this document...

Introduction

G.C.S.E Statistical Coursework                

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Objective

The aim of this investigation is to find whether there is correlation between height and weight

From this aim myHypothesis will be;

“The taller you are, the heavier you are”


Introduction

To see if my hypothesis is true I will attempt to prove it, by testing it

         To test find out the heights and weights of my class I will measure using a height measure in cm and I will weigh them using a set of bathroom scales in kg. the limitation of this investigation is that there is only a small sample of data being used and the age range is only 14-15 year olds. However I will still be able to conclude if my hypothesis is true or not.

Measuring the Height

  • Round to nearest cm
  • Measure from heel to head
  • Ensure shoes are not worn

Measuring the Weight

  • To the nearest Kg
  • Use bathroom scales which are accurate
  • No shoes

To record the data I will use a data collection sheet. I will have two sets of data. I will note the data under two headings:

Boys

Height (cm) & Weight (Kg)

Girls

Height (cm) & Weight (Kg)


Data Collection

BoysGirls

Height (cm)

Weight (Kg)

Height (cm)

Weight (Kg)

152

44

156

50

171

66

166

60

168

55

165

48

173

61

167

63

177

58

174

49

169

60

167

58

171

50

167

51

165

48

164

59

156

41

164

53

168

67

158

55

168

51

164

59

161

56

152

63

156

62

168

56

163

58

Data Display

Scatter diagram

...read more.

Middle

IIII IIII II

12

165< x <170

IIII IIII III

13

170< x <180

IIII IIII IIII IIII

20

180< x <190

IIII IIII IIII IIII II

22

Total

100

Girls- weight

Tally

Frequency

20< x <40

IIII III

8

40< x <50

IIII IIII I

11

50< x <55

IIII IIII IIII

14

55< x <60

IIII IIII IIII

15

60< x <65

IIII IIII II

12

65< x <70

IIII IIII IIII

14

70< x <80

IIII IIII IIII

15

80< x <90

IIII IIII I

11

Total

100

Boys- Weight

Tally

Frequency

20< x <40

IIII IIII IIII I

16

40< x <45

IIII IIII IIII IIII I

21

45< x <50

IIII IIII IIII IIII

20

50< x <60

IIII IIII IIII IIII II

22

60< x <70

IIII IIII IIII

14

70< x <90

IIII IIII

9

Total

100

My next stage is to produce a histogram to represent the frequency density. This is calculated by dividing the frequency by class width.

Histograms

Girls-

Height (cm)

Tally

Frequency

Class Width

Frequency Density

130< x <150

IIII IIII I

11

20

0.5

150< x <155

IIII IIII IIII

15

5

3

155< x <160

IIII IIII IIII I

16

5

3.2

160< x <165

IIII IIII IIII IIII

20

5

4

165< x <170

IIII IIII IIII IIII I

21

5

4.2

170< x <190

IIII IIII IIII II

17

20

0.8

Total

100

Girls- weight (kg)

Tally

Frequency

Class

Width

Frequency Density

20< x <40

IIII III

8

20

0.4

40< x <50

IIII IIII I

11

10

1.1

...read more.

Conclusion

        When I drew the scatter diagram to start my investigation, I found that it only slightly proved my hypothesis, therefore I needed to try a different method to prove my hypotheses. My next attempt was to draw histograms. My histograms did not support my hypotheses. My next attempt was to estimate the mean, this way I was using all the data values and it would give me a better result, hopefully and it did. Both my hypotheses were proved boys are taller than girls and girls are heavier than boys. Finally to prove my hypotheses again I drew cumulative frequency graphs and box and whisker diagrams. Both of these again proved my hypotheses, so here is the evidence that boys are taller than girls and girls are heavier than boys.

Limitations

        The limitations of this investigation are that I used children from secondary school aged between 12 and 18. this is the age where children are developing and their heights and weights change at different speeds and times so some people were more developed than others. I only used a sample size of 100 girls and 100 boys.

Future improvements

        My future improvements would be to use a much larger sample size, of not just children but people of all ages, this will give me a better and less biased conclusion to my hypotheses.

Michelle Lee 10B2                Mathematics Set 10-1

...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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