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  • Level: GCSE
  • Subject: Maths
  • Word count: 3655

Statistics - Mayfield High database - TV watching and exam results are negatively correlated.

Extracts from this document...

Introduction

Maths Coursework

Statistics

By Arnita Manandhar

Form 11S

Mrs Dodds

For this Statistics coursework, I will be studying one hypothesis and will try to prove them in three different ways. To do this I will need to have a fairly large amount of data and hence I have used the Mayfield database. (Just as a reference, I would like to include that Mayfield School is a fictitious school). Before making my hypothesises, I needed to sort the data to only what I needed for the coursework. I stratified my data from 1183 students to only use year 11 that has 170 students in total, as they would have been preparing for their GCSE’s which automatically links to their exam results. I will also include gender and average hours of TV watched per week as factors to be used in my hypothesis.

HYPOTHESIS:

It is said that the more TV you watch, the more likely it is likely to affect your exam results in a negative way. Relating to that, it is also commonly believed that girls tend to achieve a greater success in their exam results rather than boys and so it seems predictable to think that boys watch more TV than girls. I personally agree with this theory and so to prove them I will split this hypothesis into three parts:  

  • TV watching and exam results are negatively correlated.
  • Boys watch more TV than girls;
  • And hence, girls have the best exam results overall.
...read more.

Middle

169

130

53

Female

15

9

225

81

165

55

Female

20

12

400

144

240

56

Female

20

12

400

144

240

58

Female

5

15

25

225

75

60

Female

10

12

100

144

120

61

Female

7

12

49

144

84

63

Female

10

11

100

121

110

65

Female

7

11

49

121

77

66

Female

15

11

225

121

165

67

Female

15

14

225

196

210

68

Female

19

11

361

121

209

70

Female

6

13

36

169

78

73

Female

38

12

1444

144

456

78

Female

20

10

400

100

200

79

Female

14

15

196

225

210

80

Female

17

10

289

100

170

81

Female

24

14

576

196

336

83

Female

30

13

900

169

390

85

Female

12

13

144

169

156

3

Male

20

12

400

144

240

4

Male

10

16

100

256

160

5

Male

15

15

225

225

225

8

Male

30

12

900

144

260

9

Male

12

13

144

169

156

10

Male

30

12

900

144

360

11

Male

20

12

400

144

240

13

Male

20

11

400

121

220

14

Male

20

11

400

121

220

16

Male

24

12

576

144

288

17

Male

20

13

400

169

260

19

Male

25

10

625

100

250

20

Male

20

16

400

256

320

22

Male

9

9

81

81

81

25

Male

50

15

2500

225

750

26

Male

30

11

900

121

330

29

Male

30

13

900

169

390

30

Male

23

11

529

121

253

31

Male

21

15

441

225

315

32

Male

16

12

256

144

192

35

Male

40

13

1600

169

520

36

Male

40

15

1600

225

600

37

Male

35

13

1225

169

455

39

Male

12

12

144

144

144

40

Male

25

7

625

49

175

41

Male

14

15

196

225

210

42

Male

20

8

400

64

160

44

Male

14

13

196

169

182

46

Male

14

14

196

196

196

47

Male

48

14

2304

196

672

48

Male

48

12

2304

144

576

49

Male

15

15

225

225

225

52

Male

7

8

49

64

56

55

Male

28

12

784

144

336

58

...read more.

Conclusion

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35

36

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40

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50

52

Total of average hours of TV watched in a week = 1115

Mean of average hours of TV watched in a week = 22.3

Median = 20.5     Mode = 10, 20 & 30     Range = 49

Stem and Leaf Diagrams:

Stem     Leaf

    0        3  5  6  6  7  7  

    1        0  0  0  0  1  1  2  4  4  4  5  5  5  7  9  

    2        0  0  0  0  1  1  2  4  5  5  6  7  8  8  8

    3        0  0  0  0  5  6  6  8

    4         0  0  0  2  

    5        0  3

Lower Quartile  11.5

Upper Quartile  30

Average hours of TV watched by boys:

1

4

7

7

9

10

10

10

10

12

12

14

14

14

14

14

14

15

15

15

16

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17

17

17

18

20

20

20

20

20

20

20

21

23

24

25

25

28

30

30

30

30

35

40

40

48

48

50

Total of average hours of TV watched in a week = 1005

Mean of average hours of TV watched in a week = 20.1

Median = 17     Mode = 20     Range = 49

Stem and Leaf Diagram:

Stem     Leaf

    0        1  4  7  7  9

    1          0  0  0  0  2  2  4  4  4  4  4  4  5  5  5  6  6  6  7  7  7  8

    2        0  0  0  0  0  0  0  1  3  4  5  5  8

    3          0  0  0  0  5

    4         0  0  8  8

    5        0

Lower Quartile  14

Upper Quartile  25

Population Pyramid Chart:

(A = Average hours of TV watched in a week)

A

0-9

10-19

20-29

30-39

40-49

50-59

Girls

6

15

15

8

4

2

Boys

5

22

13

5

4

1

Looking at the box plots, it is acknowledged that both the distributions are positively skewed. In the box plots, it is noticeable that the girls had a larger and wider inter quartile range than the boys. From both the box plots and the population pyramid, I can identify that this part of my hypothesis is proved incorrect as overall girls are the one who watch more TV than boys. The total of the average hours of TV watched in a week for girls is 1115 whereas for the boys its 1005 that leaves the fact that out of 50 boys and 50 girls the fifty girls watched 110 hours more of TV than boys. On average also, the girls are predicted to have watched at least 22.3 hours of TV a week while the boys are predicted only 20.1 hours of TV a week on average. Hence I reject this part of my hypothesis also as it does not support my theory.

...read more.

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