# Hypothesis - The older the students are the more accurate they will be in estimating the size of the angle.

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Introduction

Satwinder Gandham 5B

Guestimate Course work

Hypothesis

The older the students are the more accurate they will be in estimating the size of the angle.

Plan

I will take 20 random samples from the 3rd year and 20 random samples from the 1st year out of a total of 292 individual sets of data. I will sort this data out and plot a cumulative frequency graph for each year.

I will take random samples by using the ran# button on my calculator. When is use the calculator will give a random number from 0-999. I will use the number after the decimal point. E.g. for 0.088 I would use number 88 on my list of data.

I will use this table:

Random number on calculator | Subtract by… |

1-292 | 0 |

301-592 | 300 |

601-892 | 600 |

e.g. if the number on the calculator came out to 345. I would subtract 300 from 345. Which would give me an answer of 45,

and I can get that from my data.

Middle

Angle (degrees) | C. Frequency |

100-120 | 2 |

121-130 | 3 |

131-140 | 5 |

141-150 | 10 |

151-160 | 14 |

161-170 | 18 |

171-180 | 20 |

3rd Years

Angle (degrees) | C. Frequency |

110-120 | 2 |

121-130 | 2 |

131-140 | 5 |

141-150 | 7 |

151-160 | 10 |

161-170 | 19 |

171-180 | 19 |

181-190 | 19 |

191-200 | 19 |

201-210 | 19 |

211-220 | 19 |

221-230 | 20 |

Analysis

Years | Median | Lower quartile | Upper quartile | Inter quartile range | How many correct estimates? | Lowest estimate | Highest estimate | Mean |

1st | 150 | 140 | 163 | 23 | 3 | 100 | 185 | 153.15 |

3rd | 160 | 140 | 167 | 27 | 2 | 115 | 230 | 158.85 |

The 3rd year’s median was the same as the actual size of the angle. The 1st years median was 150, 10 below the correct size of the angle (160). The 3rd years have a higher range and a higher inter quartile range. The only evidence that shows that the 3rd years are more accurate than the 1st yrs is that the median is the same as the answer. However the 1st years have a lower range and more correct estimates than the 3rd years. The means of both years are fairly close the 1st years have a mean of 153.15 and the 3rd years mean is 158.85 as you can see in the above table.

Conclusion

Overall Conclusion

1st years are more accurate than 3rd years in estimating the angle, but the 1st years males are more accurate than the 3rd year males (only just). The medians are about the same for 2nd hypothesis but overall the 3rd year males had more correct estimates than the 1st year males.

Evaluation

Overall I think that my investigation went reasonably well. The way in which I got the samples was a good way of choosing random samples and it worked well.

This student written piece of work is one of many that can be found in our AS and A Level Probability & Statistics section.

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