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

Intermediate Maths Driving Test Coursework

Extracts from this document...

Introduction

GCSE Math’s Intermediate Coursework

Driving Test Coursework

This experiment has the aim of proving the hypotheses (that I shall develop) by handling data and managing it effectively to bring about realistic results. The hypotheses will be based upon test results from a driving school. I am intending to explore the success of males and females in a driving school. I shall do this by testing the number of one hour lessons and the number of errors in a random sample of 80 pupils. I aim to use this data to test several hypothesises.

Data:

The data which I will be using in this investigation has been gathered from an unknown driving school. I am going to investigate in to have a look at the performance of this driving school. The raw data which I have been given is in list form and provides me with the performance of 240 students, of both sexes and includes:

  • The number of one hour lessons before successful test.
  • The total number of minor errors in test(s) taken.
  • The name of the instructor (4 different teachers).
  • The day of the test.
  • The time of the day of the test.

The data is in no particular order and reflects a large range and variety of results and performances. Here is an example of the data:

Student

Gender of Student

Number of One-Hour Lessons

Number of Minor mistakes

Instructor

Day of Test

Time of Day of Test

123

M

24

11

B

Thur

9.00

211

F

18

32

D

Fri

12.00

I have chosen to explore whether males are more successful than females or vice versa. I will break this line of enquiry down into three, manageable hypothesises.

...read more.

Middle

Number of Lessons

Mean

Range

23.1625

34

With these graphs and diagrams I can see the consistencies and similarities of the sample to that of the original data in the preliminary analysis, and with these results I am fairly confidant that this sample is proportional and un bias. I am now ready to use this sample in my hypothesizes.

Hypothesis 1: The more lessons you take, the fewer mistakes you will make.

This is the assumed thought that with practice you will improve so I will plot my sample’s data onto a scatter graph which will allow me to see if there is a strong negative correlation which I would expect.

image10.png

From the graph above depicting my sample, you can see there is a very weak negative correlation, almost not visible without a line of best fit. Very few points lay on the line. This is a surprise to me; there must be some reason why this correlation is so weak, this would make you think that there must be some pupils that had the most lessons are the one who aren’t as good at driving and so need to take more lessons and so make a lot of mistakes. Perhaps it is females who are obscuring this fact and males who show a strong negative correlation, this will be my next hypothesizes.

Hypothesis 2: Males perform better in tests than females

Here I will split up the graph I did in the first hypothesizes to show male and female correlations separately which may prove males perform better.

image11.png

Here the correlation is a little stronger than it was but is still a weak correlation. Only about 4 points lie on the line of best fit.

This has a little or no correlation and is weaker in comparison to the male graph. Only 2 points lie on the line of best fit.image12.png

From the line graphs I found that it was a female who made the highest amount of mistakes but also the lowest amount of mistakes. By looking at the graph I also found that a greater number of females were found to have greater mistakes than that of the males. The ale graph has a slightly steeper line than that of the females indicating better performance however both graphs still remain similar so I will use box plots which may let me see a pass rate more clearly for each gender. To make a box plot, I will first need to find the quartiles from my data, to do this I will make a stem and leaf diagram.

Females: No. of lessonsimage00.png

3

01122246789

2

00357788999

1

0011345556777888999

4

000

3

011457

2

00001223345578999

1

03344566779

0

69

image01.png

Median = ½ (n+1)        

                ½(41+1)

                 21st observation

Lower Q= ¼(n+1)

                  ¼(41+1)

                  10.5th observation

image02.png

Upper Q= ¾ (n+1)

                  ¾ (41+1)

                  31.5th observation

Range= 39 - 10

Females

Number of Lessons

Q1

16.5

Q2

20

Q3

30.5

Range

29

Minimum

10

Maximum

39

Males

Number of Lessons

Q1

6

Q2

22

Q3

29

Range

34

Minimum

6

Maximum

40

With these Quartiles I can now plot my box plots.

image13.png

In the above box plot we can see the males had a bigger spread of results in lessons taken than the females and still had a bigger median. I will now draw a leaf and stem diagram for my next box-plot.image03.png

Females: No. of minor mistakes

3

11223

2

0012334889

1

001223334444556778

0

23556789

3

01

2

012345688

1

0002344557799

0

111234456688899

...read more.

Conclusion

The level of alcohol the candidate may have been consuming before his/hers test and lessons.The tiredness of the candidate.The age and physical attributes of the candidate. Pupils with better vision may find driving easier than others. The experience of drivers. One driver may have had more tests than others and therefore know the procedure. Also, the number of lessons will affect the ability of the candidate.

The difference in performance between males and females may be affected by the following factors:

  • Females may perform better than males because it is widely believed they have a larger concentration span.
  • Males may be more confident at the wheel and therefore be less prone to make mistakes.
  • Females could have come from a learning deficiency school.
  • Males could have come from a rural background and might have had more experience driving using tractors or other machinery.
  • Perhaps the Instructor is sexist and is marking males or females more leniently.

Conclusion:

After completing all the graphs I have come to the conclusion that Instructor C was the best Instructor for teaching both males and females due to the instructor’s low mistakes and vast improvement in lessons, the worst instructor I would be instructor D because they were the only instructor to come up with a positive graph. Instructor B was the worst instructor for teaching females. So in summary in my first hypotheses I proved that more lessons means less mistakes and that in my second hypothesis males do perform better than females. However after studying those graphs in which two instructors were worse at teaching the majority of the female sample while males did do better with said instructor A and B, I do believe that the reason females perform worse is because of the instructors A and B.

...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

    The heights of 16-18 year old young adults varies between males and females. My ...

    5 star(s)

    3 204 13872 5ft 9inc 69 4761 6 414 28566 5ft 10inc 70 4900 4 280 19600 5ft 11inc 71 5041 7 497 35287 6ft 72 5184 10 720 51840 6ft 1inc 73 5329 6 438 31974 6ft 2inc 74 5476 2 148 10952 6ft 3inc 75 5625 1 75

  2. Marked by a teacher

    data handling

    3 star(s)

    Spearman's Rank is written as r and it is a measure of the agreement between two sets of data. It is the more precise way of saying how strong the correlation is. The scale of Spearman's Rank is from -1 to 1.

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

    However, I have tried to draw a line of best fit as shown on the graph, SD3. The line drawn shows a positive correlation with a small gradient indicating small differences in the relationship between the hours of TV watched and the results obtained by the gender.

  2. Mayfield High School Maths Coursework

    I will need to pick them out from the data which is provided on a spreadsheet. I will pick the samples out by using the random formula which is:- (RAND()*150+1) However, the number after the * changes depending on how much girl or boy students there are in that year.

  1. GCSE Mathematics Coursework: Statistics Project

    * The boys' weights are spread over a larger range than the girls' weights. Box and Whisker Diagrams for the Average Amount of TV watched per Week For Boys and Girls: In the same method as before, the median, lower quartiles, upper quartiles and minimum and maximum values for the boys and girls were calculated using Excel formulae.

  2. Study of the height/diameter ratio of limpets inhabiting the middle shore region of exposed ...

    The similarity can be due to the fact that limpets apply strong pressure to the rock no matter where they live, and tallness will only be compromised when faced with increased harsh conditions (as on the exposed shore). The conditions here will not be harsh enough to reduce the tall

  1. Data Handling Coursework - On the correlation between driving lessons and the number of ...

    12 M 20 19 A Fri 9 M 22 7 A Thur 17 M 27 2 A Tue 17 F 10 22 B Fri 16 F 13 19 B Fri 10 F 15 10 B Fri 11 F 17 5 B Tue 10 F 18 14 B Fri 11 F

  2. Statistical coursework that uses data from 'Mayfield High School.'

    Each item is then represented by a single point. 4. Cumulative Frequency Graphs - A cumulative frequency graph can be used to estimate some useful statistical measures. 5. Line Of Best Fit - Single line drawn through a series of data points as a best representation of the underlying trend.

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