• Join over 1.2 million students every month
  • Accelerate your learning by 29%
  • Unlimited access from just £6.99 per month

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

Extracts from this document...

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.
...read more.

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.

image02.png

     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

...read more.

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.

image10.png

image11.png

image12.png

image04.png

...read more.

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

Found what you're looking for?

  • Start learning 29% faster today
  • 150,000+ documents available
  • Just £6.99 a month

Not the one? Search for your essay title...
  • Join over 1.2 million students every month
  • Accelerate your learning by 29%
  • Unlimited access from just £6.99 per month

See related essaysSee related essays

Related AS and A Level Probability & Statistics essays

  1. Marked by a teacher

    data handling

    3 star(s)

    I calculated their differences in ranks and squared the difference for all of them. Height nearest cm Ranking Order Shoe size Ranking Order (d)difference d*d 193 1 12 2 1 1 191 2 13 1 -1 1 188 3 11 5.5 2.5 6.25 185 4.5 11 5.5 1 1 185

  2. Data Handling - Planning - I intend to investigate the relationship between the number ...

    Cumulative frequency axis can be divided into 100 points. The halfway point is the median, the upper quartile is at the 75% point and the lower quartile is at the 25% point. The quartiles are particularly useful in finding the central 50% of the range of distribution.

  1. data handling

    The positive gradient implies positive correlation. This could be because I am only analysing a small group from a particular year and hence the results could be slightly biased. Cumulative frequency graphs are used to compare different data. It is easier to compare the results if the graphs are drawn on the same axis.

  2. Intermediate Maths Driving Test Coursework

    To create these graphs, I had to sort the data, using excel, I used the auto filter feature in excel to highlight specific sections within the field which here was the number of pupils. So for my first graph, I sorted the data using the first field gender.

  1. The aim of this investigation was to look at the reliability and validity of ...

    11 22 20 17 13.5 21 3.5 12.25 12 19 17 14 9.5 18 3.5 12.25 13 14 18 9 11 16 -2 4 14 11 14 5.5 5.5 12.5 0 0 15 13 15 8 7 14 1 1 16 15 16 10 8 15.5 2 4 17 20

  2. I am going to design and then carry out an experiment to test people's ...

    This is because we could not just record the time taken as ' - ' as this in unplottable. We could not put '0' down as the recorded time as this is the fastest time in which you can catch the ruler, and this implies the participant has a very fast reaction time as opposed to a very slow one.

  1. Design an investigation to see if there is a significant relationship between the number ...

    Consequently, one would expect there to be more bladders on the longer fronds, in order to give them enough buoyancy to prevent the frond from sinking. I could have opted to investigate the effect of the width of the frond, in conjunction with the length, on the number of bladders present on that frond.

  2. Application of number: level 3 - Is House Buying a Good Idea or Not?

    Strictly speaking the middle value of the distributions of the cumulative frequency graphs is the : (n+1)/2 value ( where n = the highest value of the distribution) However when using cumulative frequency graphs an estimate is used. Therefore it is considered accurate enough to read of the value when the value is n/2.

  • Over 160,000 pieces
    of student written work
  • Annotated by
    experienced teachers
  • Ideas and feedback to
    improve your own work