# Maths - Handling Data

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Introduction

Adam Warlow. Pg 1

Maths Handling Data Coursework.

In this coursework I will be investigating whether or not height affects weight by looking at data from years 10 and 11 at Mayfield High School. I would expect that taller people will weigh more but obviously there will exceptions as some people are tall and skinny and some are short and broader, but generally the taller people should weigh more. I also expect year 11 to be taller and therefore weigh more than year 10 as they are older and should have grown more.

The data that I have been provided with is secondary data as I have not collected it myself. I intend to get a sample of 60 from the database consisting of 370 students. This sample will be a fair sample with each person having an equal chance of being chosen. I will ensure this is a fair sample by doing a stratified random sample in order to get a correct proportion of year 10 and 11 students. The year groups will be separated and each person in the year group given a number. Then I will use the random number button on my calculator, I will do this until I have the number of year 10 students I want, and then I will do the same for year 11 students. Using

Middle

11

1.72

64

11

1.80

42

11

1.53

42

Adam Warlow.Pg 3

Frequency Tables - Height.

Height (h meters) | Frequency |

1.0 < h <1.15 | 1 |

1.15 < h <1.30 | 0 |

1.30 < h <1.45 | 0 |

1.45 < h <1.60 | 8 |

1.60 < h <1.75 | 10 |

1.75 < h <1.90 | 9 |

1.90 < h <2.05 | 0 |

Year 10Year 11

Height (h meters) | Frequency |

1.0 < h <1.15 | 0 |

1.15 < h <1.30 | 0 |

1.30 < h <1.45 | 1 |

1.45 < h <1.60 | 5 |

1.60 < h <1.75 | 18 |

1.75 < h <1.90 | 6 |

1.90 < h <2.05 | 2 |

Here are two tables representing the height of students in year 10 and in year 11.

By looking at the two tables, I can see that the modal class for each year group is 1.60 – 1.75 metres. The difference is huge in year 10 but in year 11 the difference is very small and by looking at the data it could be said that more people in year 10 are taller which is very surprising.

Percentages for Pie Charts.

Year 10Year 11

Height (h metres) | Percentage |

1.0 < h < 1.15 | 0/32 x 100 = 0 |

1.15 < h < 1.30 | 0/32 x 100 = 0 |

1.30 < h < 1.45 | 1/32 x 100 = 3.13 |

1.45 < h < 1.60 | 5/32 x 100 = 15.63 |

1.60 < h < 1.75 | 18/32 x 100 = 56.25 |

1.75 < h < 1.90 | 6/32 x 100 = 18.75 |

1.90 < h < 2.05 | 2/32 x 100 = 6.25 |

Height (h meters) | Percentage |

1.0 < h < 1.15 | 1/28 x 100 = 3.57 |

1.15 < h < 1.30 | 0/28 x 100 = 0 |

1.30 < h < 1.45 | 0/28 x 100 = 0 |

1.45 < h < 1.60 | 8/28 x 100 = 28.57 |

1.60 < h < 1.75 | 10/28 x 100 = 35.71 |

1.75 < h < 1.90 | 9/28 x 100 = 32.14 |

1.90 < h < 2.05 | 0/32 x 100 = 0 |

Adam Warlow. Pg 4

Pie Charts – Height.

Year 10

Year 11

Adam Warlow. Pg 6

Frequency Tables – Weight.

Year 10Year 11

Weight (W kg’s) | Frequency |

30 < w <40 | 0 |

40 < w <50 | 8 |

50 < w <60 | 14 |

60 < w <70 | 6 |

70 < w <80 | 1 |

80 < w <90 | 3 |

Conclusion

- Year 10:

Here there is a strong positive correlation suggesting that a pupil who is taller also weighs more.

Adam Warlow. Pg 13

- Year 11:

This graph is very similar to that of year 10 as it clearly shows a strong correlation suggesting that a pupil who is taller also weighs more.

Conclusion

My hypothesis that taller people will weigh more has been proved correct through this investigation. There is a strong correlation, which suggests that the two sets of data are related as I thought. However, my theory that the older you are the taller you are and therefore the more you weigh have been shown to be incorrect has year 10 pupils had both a higher average height and weight. This may be because the figures given by the pupils were incorrect.

Evaluation

In order to make this investigation more accurate and reliable I could have used a much bigger sample. Although this would involve a lot more time being spent and more calculations, the accuracy of the investigation would be much better and this may show and even stronger correlation and even prove my theory that the older you are, the taller you are and therefore the more you weigh.

However, I have only looked at a sample of the data, the sample was taken randomly and I have not been bias at any time throughout the investigation so I do believe that my conclusion is correct and that there is a strong correlation between height and weight of pupils in year 10 and in 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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