# The data I am going to be investigating the relationship between the height and weight of pupils in year 10 at Desborough School the data was collected from two maths classes.

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Introduction

Math GCSE handling Data Coursework

Introduction

My GCSE coursework is about handling data. The data I am going to be investigating the relationship between the height and weight of pupils in year 10 at Desborough School the data was collected from two maths classes. The data that was taken was the height of pupils and weight. The data used was both primary and secondary because we only measured data from our own class (primary data) and we where given the secondary data from another maths class. The raw data was combined and I had to find the relationship between the height and weight of year 10 pupils.

The first point would be to consider the sample size for this data. When the weight and height of pupils was measured, some pupils were absent that day and their record of information might have and affect the relationship between the weight and height. I have decided that the number of people, who were at school that day, would be my sample size, which is 51.

Height and Weight for Set 5Height and Weight for Set 4

Weight (Kg) | Height (Cm) | Weight (Kg) | Height (Cm) | |

61 | 172 | 54 | 173 | |

72 | 180 | 58 | 178 | |

59 | 173 | 60 | 179 | |

80 | 182 | 61 | 176 | |

71 | 178 | 54 | 168 | |

69 | 170 | 50 | 164 | |

48 | 160 | 52 | 177 | |

50 | 167 | 111 | 179 | |

55 | 175 | 56 | 168 | |

53 | 160 | 75 | 170 | |

75 | 164 | 70 | 167 | |

60 | 174 | 61 | 177 | |

70 | 183 | 87 | 180 | |

71 | 165 | 66 | 178 | |

70 | 163 | 58 | 178 | |

40 | 160 | 69 | 164 | |

75 | 185 | 55 | 171 | |

50 | 168 | 54 | 173 | |

75 | 186 | 45 | 159 | |

50 | 162 | 48 | 160 | |

46 | 160 | 56 | 160 | |

75 | 174 | 45 | 174 | |

72 | 162 | 67 | 174 | |

81 | 177 | 44 | 170 | |

63 | 181 | |||

53 | 176 | |||

42 | 156 |

Middle

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18

170 = h <180

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24

180 = h <190

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7

Weight of pupils in sets for and 5

Weight, w (Kg) | Tally | Frequency |

40 = w <50 | |||| ||| | 8 |

50 = w <60 | |||| |||| |||| || | 17 |

60 = w <70 | |||| |||| | 10 |

70 = w <80 | |||| |||| || | 12 |

80 = w <90 | ||| | 3 |

90 = w <100 | 0 | |

100 = w <110 | | | 1 |

## Hypothesis

From my sample, I am now able to look at the data in more detail. I will extend the line of enquiry and give myself a hypothesis to test. A hypothesis is a statement that could be true or false. I will test my hypothesis be looking at data and graphs.

I will extend my investigation by looking at the difference in height and weight between the pupils in year 10. I will test to see if the following hypothesis is true:

In general the taller the person, the heavier the person gets.

## Tables for mode, mean, median and range

F means the frequency, mid point is the middle point between the height value, Fx is the frequency multiply mid point and CF is the cumulative frequency.

## Heightx | ## F | ## Mid Point | ## Fx | ## CF |

155< x <160 | 2 | 157.5 | 315 | 2 |

160< x <165 | 12 | 162.5 | 1950 | 14 |

165< x <170 | 6 | 167.5 | 1005 | 20 |

170< x <175 | 12 | 172.5 | 2070 | 32 |

175< x <180 | 12 | 177.5 | 2130 | 44 |

180< x <185 | 5 | 182.5 | 912.5 | 49 |

185< x <190 | 2 | 187.5 | 375 | 51 |

Total: | 51 | 1207.5 | 8757.5 | 51 |

##### Modal = 160< x <165, (

Conclusion

So, I could say to find out a boy who has a weight of 64kg I could use the equation to give a rough estimate of his height in Cm.

Y= 0.333 * 64 + 160 would equal to 181cm as an estimate. By looking at my line of best fit I can say that my answer was only 7cm away from its best fit.

I can work out an estimate of the weight of a pupil in year 10 by rearranging the formula.

X = y –160

0.33

## Conclusion

My investigation was to find out the relationship between the height and weight of the pupils in Desborough School. All the pupils were male so there were no gender factors. My hypothesis was that the taller the person gets, the heavier they would become. The hypothesis was correct by observing the scatter diagram it was not an accurate result but it was a positive correlation for the line of best fit. From the line of best fit, I then decided to find the equation for this line.

Using the formula = mx + c, I was able to find out the equation. First I had to find the gradient. This was shown in the process in my coursework. The final equation was figured out which was Y= 0.333x + 160

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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