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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

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

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

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

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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