# Mayfeild High School Statistic Coursework: height and weight

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Introduction

Mayfeild High School Statistic Coursework

This coursework will handle a mass amount of data, and accompanying it with graphs and tables to simplify this. The data will be shown in different ways, and will span most of this document. I will choose a random amount of subjects which is 30 random students. Then when extending this investigation, I will choose 30 random students of the each gender which boys and girls, with this information I will make hypothesis’s and make many graphs to represent this.

Below is the start of my investigation, I have chosen as you can see 30 students and I will extend this as the investigation carries on.

The 30 Random Students Sample:

Number | Gender | Height | Weight |

1 | M | 1.65 | 41 |

2 | M | 1.49 | 67 |

3 | F | 1.48 | 34 |

4 | F | 1.62 | 50 |

5 | M | 1.73 | 47 |

6 | F | 1.80 | 110 |

7 | M | 1.50 | 55 |

8 | F | 1.46 | 45 |

9 | M | 1.75 | 65 |

10 | M | 1.53 | 48 |

11 | F | 1.61 | 47 |

12 | F | 1.55 | 42 |

13 | F | 1.60 | 53 |

14 | F | 1.72 | 65 |

15 | M | 1.20 | 36 |

16 | M | 1.82 | 70 |

17 | M | 1.68 | 45 |

18 | M | 1.65 | 40 |

19 | F | 1.60 | 40 |

20 | F | 1.50 | 45 |

21 | F | 1.80 | 62 |

22 | F | 1.40 | 41 |

23 | M | 1.60 | 70 |

24 | F | 1.56 | 54 |

25 | F | 1.02 | 55 |

26 | M | 1.80 | 66 |

27 | F | 1.60 | 48 |

28 | M | 1.67 | 48 |

29 | F | 1.62 | 45 |

30 | M | 1.71 | 60 |

Height Tally | Weight | |||||

Height (M) | Tally | Freq | Weight | Tally | Freq | |

1.00>1.10 | || | 2 | 30>40 | || | 2 | |

1.10>1.20 | 40>50 | |||||||| |||| | 14 | |||

1.20>1.30 | | | 1 | 50>60 | |||| | 5 | |

1.30>1.40 | 60>70 | |||| | | 6 | |||

1.40>1.50 | |||| | 4 | 70>80 | || | 2 | |

1.50>1.60 | |||| | 5 | 80>90 | |||

1.60>1.70 | |||||||| | | 11 | 90>100 | |||

1.70>1.80 | |||| | 4 | 100>110 | | | 1 | |

1.80>1.90 | ||| | 3 |

Here is a tally chart to represent my data in an easy to read form.

Middle

Extending the investigation

Now I am ready to extend this investigation, to do so I will make a hypothesis to test. This hypothesis can be true or false, and it is my investigation that will test it. My hypothesis for this investigation is: In general, the taller the person’s height is, the more they would weight. This hypothesis is made by looking at height and weight of the sample I will gather.

To do prove this, I will have to gather a new sample, I have done that below:

Random Boys | Random Girls | ||||

Number | Height | Weight | Number | Height | Weight |

1 | 1.2 | 36 | 29 | 1.25 | 33 |

2 | 1.41 | 31 | 27 | 1.41 | 39 |

3 | 1.47 | 47 | 14 | 1.47 | 45 |

4 | 1.48 | 40 | 30 | 1.49 | 47 |

5 | 1.5 | 39 | 8 | 1.50 | 38 |

6 | 1.52 | 38 | 10 | 1.50 | 45 |

7 | 1.52 | 50 | 15 | 1.51 | 36 |

8 | 1.53 | 44 | 23 | 1.51 | 50 |

9 | 1.55 | 47 | 1 | 1.52 | 38 |

10 | 1.55 | 50 | 22 | 1.52 | 58 |

11 | 1.55 | 66 | 24 | 1.54 | 40 |

12 | 1.56 | 56 | 2 | 1.55 | 50 |

13 | 1.58 | 51 | 19 | 1.56 | 45 |

14 | 1.6 | 38 | 11 | 1.57 | 52 |

15 | 1.6 | 43 | 26 | 1.57 | 52 |

16 | 1.62 | 40 | 3 | 1.59 | 52 |

17 | 1.62 | 87 | 5 | 1.62 | 42 |

18 | 1.63 | 55 | 9 | 1.62 | 48 |

19 | 1.65 | 44 | 18 | 1.62 | 80 |

20 | 1.65 | 46 | 7 | 1.65 | 49 |

21 | 1.65 | 64 | 25 | 1.65 | 54 |

22 | 1.67 | 53 | 4 | 1.68 | 52 |

23 | 1.7 | 57 | 6 | 1.71 | 42 |

24 | 1.71 | 44 | 13 | 1.73 | 50 |

25 | 1.71 | 46 | 20 | 1.73 | 58 |

26 | 1.72 | 54 | 21 | 1.75 | 56 |

27 | 1.73 | 50 | 28 | 1.79 | 43 |

28 | 1.77 | 57 | 12 | 1.80 | 60 |

29 | 1.82 | 57 | 16 | 1.80 | 60 |

30 | 1.9 | 70 | 17 | 1.90 | 40 |

This is a sample of 30 boys and 30 girls, I have taken these at random by the process of a “lucky dip” way.

Conclusion

- The points on my scatter diagram for boys are less dispersed then to say the girls are, the boys are concentrated whereas the girl isn’t. This suggests that the correlation is better for boys then for the girls and boy’s height and weight is more predictable compared to the girls.

- When looking at the mixed scatter diagram, the points that are less dispersed then to the singular points, this suggests that when combined they form a better picture compared to separate scatter diagrams. This suggests that the correlation between height and weight is equal and is predictable, and would make a better picture when mixed together.

- The points on the mixed scatter diagram of boys and girls has a slight curve, suggesting that the points are not linear, but the range is predictable and isn’t a wild curve.

- My scatter diagrams I compiled can be used to give reasonable estimates of height and weight; you can get this information by just reading off the scatter points, or looking at the line of best fit on the graph.

- Cumulative curves show that girls peak earlier then boys, whereas boys peak the curve nearing the end of the curve. This suggests that boys are naturally taller then girls because of the shape of the curve of the boys and girls when comparing them.

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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