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

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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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