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

Extracts from this document...

Introduction

GCSE Maths Data Handling Coursework

By Jack Stenner 11T

Introduction

This experiment has the aim of proving the hypotheses (that I shall develop) by handling data and managing it effectively to instigate realistic results. The hypotheses will be based upon test results from a driving school.

Hypotheses:

I hypothesize that the number of mistakes made by people will decrese if the number of hours that they spent on lessons increased. This is because more lessons will instigate an increase in driving experience and henceforth reduce the number of mistakes that are made. This is negative correlation. This can be split into 2 further hypotheses.

I can predict that males will have a weaker negative correlation than females as they are naturally better drivers and would not gain as much from the lessons.

The instructors will have an effect upon the correlation as well. Different instructors will affect people differently. Also, different instructors will have different effects on males and females.

Sampling:

...read more.

Middle

F

27

5

B

Wed

11

F

29

5

B

Mon

15

F

31

19

B

Thur

12

F

34

3

B

Tue

15

F

38

26

B

Tue

10

M

10

30

B

Mon

13

M

13

26

B

Wed

15

M

15

22

B

Tue

12

M

17

19

B

Thur

12

M

20

15

B

Tue

17

M

22

14

B

Tue

11

M

24

11

B

Thur

9

M

27

1

B

Thur

9

M

30

3

B

Tue

11

M

31

4

B

Thur

12

M

34

6

B

Wed

16

M

39

9

B

Mon

11

M

40

7

B

Thur

12

F

11

32

C

Thur

17

F

16

30

C

Fri

10

F

22

21

C

Mon

11

F

28

15

C

Wed

14

F

36

4

C

Mon

10

...read more.

Conclusion

image14.png

Inst B

females

- 0.01

image02.png

B males

-0.84

image03.png

C, female

0.99

image04.png

C, male

- 0.91

image05.png

D, female

0.91

image06.png

D, male

0.86

Conclusion:

As the number of hours spent on lessons increases, the no. of mistakes decreases because the people become better drivers.

Females show weaker correlation than males; this implies that they are less affected by the lessons. This disagrees with my hypothesis and proves it wrong.

Different instructors show different correlation. The order of correlation strength and effectiveness as a teacher (from most to least) is as follows: C,D,A,B. All instructors show a roughly equal effectiveness on males and females except B. Instructor B shows far weaker correlation with females than males, he is more effective when his/her students are male.

Evaluation:

There was an insufficient data amount to conclude definitely on the last few graphs (instructor and gender). But other than that, all went well. Valid and easily identifiable conclusions could be drawn.

...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.

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