# 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

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.

Middle

I can then investigate these factors and I will see if they are in proportional to each other. I know this data is reliable because it has come from a good source of information, and I am only using the information, which will have a positive affect on my results. I will perform the following calculations. I will need to find out the percentages of the passes rate. I would do this by finding out the number of passes and fails with each instructor. I would then times the number of passes by 100, then I will divide this number by the amount of pupils who took the test with that certain instructor. This will then give me the percentage of passes with each instructor. This will be very useful because I can see how the pupils with either little or a lot of practice lessons affect the number of passes per instructor. I will check that the calculations make sense by repeating the sum, and making sure that they are reliable and correct.

Conclusion

It is skwed though, because the results are bunched up in the positive side of the box plot. This all means that the pupils A insturcted did the best, and all the interquartile ranges are inside the the pass rate of 15 minor mistakes. 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. Laura Bentley Maths Coursework 11 Dolbe Handling Data Project

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