# Maths mayfair

Extracts from this document...

Introduction

I have been presented with data of secondary nature, about a school named Mayfield high school. This is table shows the number of pupils.

## Year group | Number of boys | Number of girls | Total |

7 | 151 | 131 | 282 |

8 | 145 | 125 | 270 |

9 | 118 | 143 | 261 |

10 | 106 | 94 | 200 |

11 | 84 | 86 | 170 |

There 1183 students in this high school, and they have carried out several surveys, and put information on every single students into their own record on a database. The database contains several kinds of information, for example, name, age, year group, IQ, weight, height, eye colour, hair colour, test results, etc.

The variations I have chosen to follow for my coursework are:

- The relationship between height and weight

Keeping in mind that there are 1183 students, I cannot provide these enquiries onto each pupil. I must take a suitable sample. Sampling helps to pick and choose some data needed to gain a result. Here are the methods available:

Year group | Total number of students | Number students to be taken |

7 | 282 | 282/1183 x 100 = 24 |

8 | 270 | 270/1183 x 100 = 23 |

9 | 261 | 261/1183 x 100 = 22 |

10 | 200 | 200/1183 x 100 = 17 |

11 | 170 | 170/1183 x 100 = 14 |

Total students = 100 |

The students taken must be taken at random.

SAMPLE SIZE:

Taking a fixed percentage out of the 1183 students uses a sample size.

Middle

Aim – to find and comment on the proper relationship between height and weight. Also, answer questions such as, is there a line of best fit? What is the correlation of the graph? Is there a clear relationship and how is it proved?

Hypothesis – for this enquiry I predict that the taller the height, the heavier the weight. I will test this throughout enquiry one. I believe this hypothesis because according to science if you are taller, so to will your bones. Therefore if your bones are bigger, then in the rules of science they must be heavier.

Conclusion

From my results the mode numbers for height are 1.72m, 1.65m, 1.62m and 1.60m. The mode for weight is 50 kg.

From my results the median height is:

192.52 + 1

= 96.76th position

2

Which is 1.70m

From my results the median weight is:

6008 + 1

= 3004.5th position

2

Which is 85kg

From my results the height average is:

192.52

Mean =

118

= 1.632m

The average weight is:

6008

Mean =

118

= 50.92kg

Therefore we learn the average person is 50.92kg in weight, and 1.632m in height.

I will also work out the mean of the deviations,

The mean deviation for height is:

1501.6

Mean deviation =

118

= 12.73cm

The mean deviation for weight is:

1088.720

Mean deviation =

118

= 9.226kg

Using the equation on my graph, I can work what height or weight a person will be based on the line of best fit.

If a person weighs 50kg,

y= 0.0073 x 50 + 1.2482 =1.6078m is their height (from the line of best fit)

If a person weighs 40kg,

y= 0.0073 x 40 + 1.2482 =1.5402m is their height (from the line of best fit)

Therefore from all of these calculations I have proven my hypothesis to be correct. This is because I have shown as the weight increases so to does the height.

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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