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  • Level: GCSE
  • Subject: Maths
  • Word count: 6739

Statistics coursework

Extracts from this document...

Introduction

GCSE maths coursework – Statistics

Introduction and planning

The data I have been given is from a driving school’s records based on how well 240 of their drivers did in their driving exams. I am going to use this data for statistical analysis, which will prove or disprove my hypotheses.

Hypothesis: a hypothesis is a statement; this statement could be proved true or false from data relevant to the statement. I will be using graphs and statistical data to make my data analysis easy to compare and to verify my hypothesis.

My hypotheses are:

  1. Male drivers perform better than female drivers in their driving tests. I.e. they make fewer mistakes.

Better means to be superior in some personal quality or attainment, so in the case of my main hypothesis I would like to prove that men are better drivers than females. I chose my core hypothesis because I thought it was very interesting and a very controversial statement that interests me. There has also been scientific research carried out to prove or disprove this statement worldwide.  

  1. The more driving lessons a pupil has the less minor mistakes they will make in their driving test;

I think this is true because the driver will gain more experience through more driving lessons and there will be negative correlation shown in this hypothesis between these two factors. Correlation is the relationship between two variables.

  1. Drivers are more likely to make minor mistakes in the morning during driving tests than the afternoon;

I think this is true because the traffic is very busy during the morning as many people are going to work or dropping their children off at school therefore drivers with driving tests in the mornings are likely to make more minor mistakes.

...read more.

Middle

3

B

Tues

15:00

90

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14

17

B

Wed

10:00

91

F

27

12

B

Thur

15:00

92

F

36

28

B

Wed

13:00

93

M

23

12

B

Frid

14:00

94

M

40

11

B

Frid

9:00

95

M

31

1

B

Mon

14:00

96

M

30

3

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Tues

11:00

97

F

27

5

B

Wed

11:00

98

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27

27

B

Frid

12:00

99

M

21

15

B

Tues

9:00

100

M

29

4

B

Thur

17:00

101

F

31

19

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Thur

12:00

102

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15

10

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Frid

11:00

103

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18

21

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17:00

104

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40

7

B

Thur

12:00

105

F

38

13

B

Mon

17:00

106

M

37

6

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Mon

16:00

107

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39

9

B

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11:00

108

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21

14

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11:00

109

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20

21

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Wed

15:00

110

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29

24

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22

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10

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Mon

15:00

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14

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117

M

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4

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23

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Mon

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120

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26

B

Wed

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Thur

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122

M

32

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Frid

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32

6

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19

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Mon

12:00

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F

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20

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Tues

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13:00

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F

15

34

B

Tues

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128

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21

32

B

Thur

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129

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13

9

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Frid

11:00

130

M

27

1

B

Thur

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131

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34

9

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Tues

13:00

132

M

17

17

B

Wed

15:00

133

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24

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Wed

10:00

134

F

22

30

B

Thur

9:00

135

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32

20

B

Wed

13:00

136

F

28

34

B

Frid

14:00

137

F

25

32

B

Thur

13:00

138

F

14

17

B

Tues

10:00

139

M

12

B

Frid

10:00

140

M

15

21

B

Mon

13:00

141

M

17

17

B

Mon

17:00

142

M

14

22

B

Thur

17:00

143

F

16

9

B

Wed

16:00

144

F

34

16

B

Thur

9:00

145

F

18

14

B

Frid

11:00

146

M

10

29

B

Frid

11:00

147

M

14

22

B

Thur

17:00

148

M

34

9

B

Thur

17:00

149

F

31

32

B

Wed

13:00

150

F

26

32

B

Tues

15:00

151

F

38

26

B

Tues

10:00

152

F

12

17

B

Mon

15:00

153

M

39

B

Mon

14:00

154

M

25

5

B

Frid

10:00

155

M

29

1

B

Thur

11:00

156

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29

1

B

Tues

10:00

157

F

31

33

B

Thur

13:00

158

F

17

28

B

Thur

14:00

159

M

30

3

B

Frid

14:00

160

M

23

8

B

Mon

9:00

161

F

28

15

C

Wed

14:00

162

F

39

C

Mon

17:00

163

F

23

21

C

Tues

13:00

164

M

16

24

C

Frid

9:00

165

F

20

25

C

Frid

12:00

166

M

10

27

C

Thur

13:00

167

M

14

32

C

Thur

15:00

168

F

19

26

C

Mon

11:00

169

M

40

2

C

Frid

11:00

170

F

16

30

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Frid

10:00

171

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10:00

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23

...read more.

Conclusion

Another factor that could affect my results is that if more drivers take their driving test as a certain hour then you would expect more minor mistakes to be made for this hour.

 I think that the line graph I used wasn’t the best way to represent this data; so I drew an accompanying pie chart to show the number of drivers taking their driving test at each hour and a table to show the percentage of minor mistakes made at each hour.

To extend my hypothesis for better results I could resample and use equal numbers of drivers who took their driving tests at the same hour. But this would be extremely hard to sample randomly because I would have to have the same number of drivers taking the test at each hour; the drivers also have to be sampled proportional to gender and instructor to keep my sampling methods the same. If I didn’t then my investigation won’t be fair.

To get better and more accurate results I could extend my investigation by taking a larger sample of about 80, and also include the age of the drivers as older drivers are more likely to have slower reaction times and make more minor mistakes, and I could also list the exact times that drivers took their driving tests to improve the results of my hypotheses. I could also use the data handling tool to draw graphs for the whole population instead of using a sample.

...read more.

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