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Investigating the relationship between the number of lessons taken prior to the test, and the number of mistakes made in the driving test itself.

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Introduction

Laura Bentley                                 Maths Coursework                                          11 Dolbe

Handling Data Project

Introduction

     I will be investigating the relationship between the number of lessons taken prior to the test, and the number of mistakes made in the driving test itself. I will then use this information in order to determine which instructor is the best, depending on the number of lessons needed for the person to obtain the least mistakes in order to pass.

But the other factors affect these results, such as the following

  • Time of day the test was taken – times such as the rush hour in the morning or evening could affect the number of mistakes
  • Gender of the driver – one sex maybe better at driving than the other, because they can concentrate better etc.
  • Day of the week – on Fridays there maybe a lot of traffic because people want to get home, or Monday mornings there might be a lot more drivers traveling to work than any other morning for example.
  • Weather – this could affect the test profoundly, but there was no data on this factor so I will not be analyzing this factor.
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Middle

     I will also be finding out how well the pupils performed in the tests with each instructor by using the information and putting it into a box plot. This will enable me to get an overview of the results in general, and it will help me with my evaluation.

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     By looking at the graph I can see that there is not really a correlation between the number of lessons and the number of minor mistakes made. This leads me to assume that there is something else that will affect this, which is the instructor, so I will plot a graph showing the relationship between the number of mistakes made and the number of lessons taken for each instructor. As each instructor took the tests

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Conclusion

     Instructor B’s pupils performed quite well in the driving tests, as most of the first interquartile is inside the pass number of 15 minor mistakes.

     Insturctor C’s pupils had a big range of results, as the interquartile range is the biggest, at 22 minor mistakes. By looking at the graph, I can see that the number of passes and fails are quite balanced. The second interquartile is 16.5 minor mistakes, just over the number 15, passing the pupil.

     Instructor D’s pupils performed very badly, as it is on the negative side of the box plot. This is the opposite to instructor A’s results, as it is skewed at the other end of the box plot. The interquartile range is the second smallest, showing that the pupils performed badly , and had the biggest range of results.

Passes and Fail percentages, in pie charts.

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