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  • Level: GCSE
  • Subject: Maths
  • Word count: 8171

Tabloid Newspaper - The Sun statistical analysis.

Extracts from this document...

Introduction

Tabloid Newspaper – The Sun

Length of words

Number of words

Tally

Frequency

Number of words

Tally

Frequency

1

0

16

II

2

2

0

17

III

3

3

0

18

IIII

5

4

0

19

III

3

5

0

20

II

2

6

II

2

21

II

2

7

III

3

22

I

1

8

II

2

23

I

1

9

II

2

24

II

2

10

II

2

25

0

11

III

3

26

I

1

12

IIII

4

27

I

1

13

I

1

28

0

14

III

3

29

II

2

15

III

3

Total

50

Number of letters

Tally

Frequency

1

III

3

2

IIII II

7

3

IIII IIII

9

4

IIII III

8

5

IIII II

7

6

III

3

7

IIII

4

8

IIII II

7

9

0

10

II

2

Total

50

Length of sentence

Broadsheet newspaper – The Times

Length of words

Number of letters

Tally

Frequency

1

I

1

2

IIII I

6

3

IIII II

7

4

IIII IIII

9

5

IIII IIII I

11

6

IIII

5

7

IIII

4

8

IIII

4

9

I

1

10

0

11

II

2

Total

50

Length of sentence

Number of words

Tally

Frequency

Number of words

Tally

Frequency

1

0

25

III

3

2

0

26

I

1

3

0

27

0

4

0

28

I

1

5

0

29

I

1

6

I

1

30

I

1

7

III

3

31

III

3

8

I

1

32

II

2

9

III

3

33

I

1

10

II

2

34

0

11

II

2

35

I

1

12

I

1

36

0

13

I

1

37

0

14

I

1

38

I

1

15

II

2

39

0

16

III

3

40

0

17

III

3

41

0

18

I

1

42

0

19

IIII

4

43

0

20

I

1

44

0

21

I

1

45

0

22

II

2

46

0

23

I

1

47

I

1

24

I

1

Total

50

Length of words                                        Length of sentence

Word length

Frequency

(Tabloid)

Frequency

(Broadsheet)

1

3

1

2

7

6

3

9

7

4

8

9

5

7

11

6

3

5

7

4

4

8

7

4

9

0

1

10

2

0

11

0

2

Total

50

50

Number of words

Frequency

(Tabloid)

Frequency

(Broadsheet)

6

2

1

7

3

3

8

2

1

9

2

3

10

2

2

11

3

2

12

4

1

13

1

1

14

3

1

15

3

2

16

2

3

17

3

3

18

5

1

19

3

4

20

2

1

21

2

1

22

1

2

23

1

1

24

2

1

25

0

3

26

1

...read more.

Middle

24127  - 984  ²

          50         50image00.png

                       =         482.54  -  (19.68)²image00.png

        =        482.54  -  387.30

image00.png

                       =          95.23

                 =          9.75

Average

Tabloid – The Sun

Broadsheet – The Times

Average number of letters per word

Mode  

Median

Mean

Standard deviation

3

4

4.66

1.27

5

5

4.92

2.24

Average number of words per sentence

Mode

Median

Mean

Standard deviation

18

16

15.68

6.0

19

19

19.68

9.75

Average number of words per sentence

Mode – The Broadsheet has a larger mode at 5, which shows that there were more words made of five letters in broadsheet newspaper. I think this average represents the information better.

Median – The Broadsheet has a larger median, which is also at 5. I personally don’t think the median represents the information correctly in this particular project.

Mean – The Broadsheet has a larger mean

Standard deviation – The Broadsheet has a larger standard deviation whereas the Tabloid has a smaller standard deviation, which means the tabloid was closer to the answer.

 Average number of words per sentence

Mode – The Broadsheet has a larger mode at 19, which is very close to the tabloid, which has a mode of 18.

Median – The Broadsheet has a larger median at 19, which is very distant to the tabloid, which is at 16. Again I don’t this particular average is suitable for this data.

Mean – The Broadsheet has a larger mean. I don’t think the mean is a suitable source of average in this project.

Standard deviation – The Broadsheet has a larger standard deviation whereas the Tabloid has a smaller standard deviation, which means it was closer to the answer.

The broadsheet had larger words and longer sentences compared to the tabloid. Surprisingly the tabloid was quite close to the broadsheet.

Length of words

Tabloid – The Sun

Word length

Frequency

Cumulative frequency

1

3

3

2

7

10

3

9

19

4

8

27

5

7

34

6

3

37

7

4

41

8

7

48

10

2

50

Median = n + 1 = 50 + 1 = 25.5 = 4                                       2            2        

Lower quartile = n + 1  =  50 + 1 = 25.5 = 2.6                                     4             4

Upper quartile =  n + 1  x3  = 50 + 1  x3 = 38.25 = 6.4                    

                      4                    4

Inter quartile range = upper quartile – lower quartile

                                   = 6.4 – 2.6

                                   = 3.8


Broadsheet – The Times

Word length

Frequency

Cumulative frequency

1

1

1

2

6

7

3

7

14

4

9

23

5

11

34

6

5

39

7

4

43

8

4

47

9

1

48

11

2

50

Median = n + 1 = 50 + 1 = 25.5 = 4.4                               2            2        

Lower quartile = n + 1  =  50 + 1 = 25.5 = 2.8                                   4               4

Upper quartile = n + 1  x3  = 50 + 1  x3 = 38.25 = 5.8                    

                      4                    4

Inter quartile range = upper quartile – lower quartile

                                   = 5.8 – 2.8

                                   = 3

Length of sentence

Tabloid – The sun

Word length

Frequency

Cumulative frequency

6

2

2

7

3

5

8

2

7

9

2

9

10

2

11

11

3

14

12

4

18

13

1

19

14

3

22

15

3

25

16

2

27

17

3

30

18

5

35

19

3

38

20

2

40

21

2

42

22

1

43

23

1

44

24

2

46

26

1

47

27

1

48

29

2

50

...read more.

Conclusion

.

The number of pictures

The table below shows the number of pictures on each page for the main section of the sun and the Times. I counted any pictures found, including pictures found in adverts and icons.

Page

The Sun

The Times

1

2

4

2

5

3

3

3

3

4

6

3

5

1

3

6

2

3

7

4

3

8

2

1

9

5

3

10

6

3

11

5

3

12

4

2

13

7

3

14

1

2

15

3

3

16

3

2

17

4

2

18

3

5

19

6

1

20

3

1

Total

75

53

I have constructed a composite bar chart graph to show this data of pages 11 - 20

The graph shows the sun has more pictures

For each newspaper I have found the mode, Mean, and median of the number of pictures on each page.

The Sun

2 5 3 6 1 2 4 2 5 6 5 4 7 1 3 3 4 3 6 3

Mode = 3

Mean = 75 =3.75

        20  

Median = 1 1 2 2 2 3 3 3 3 3 4 4 4 5 5 5 6 6 6 7

20 + 1 = 21 = 10.5 = 3.5

                 2         2

The averages show that there is an average of roughly 3 to 4 pictures.

The Times

 4 3 3 3 3 3 3 1 3 3 3 2 3 2 3 2 2 5 1 1

Mode = 3

Mean = 53 = 2.65

              20

Median = 1 1 1 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 4 5

 20 + 1 = 21 = 10.5 = 3      

                2         2

The averages show that there is an average of roughly 2 to 3 pictures.

Spearman’s coefficient of rank correlation

I am going to compare the number of pictures in the sun and the times using spearman’s coefficient. I have ranked both sets of data.

Page

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

The Times

2

3

3

3

3

3

3

18

3

3

3

14

3

14

3

14

14

1

18

18

The Sun

16

5

11

2

19

16

8

16

5

2

5

8

1

19

11

11

8

11

2

11

d

14

2

8

1

16

13

5

2

2

1

2

6

2

5

8

3

6

10

16

7

196

4

64

1

256

169

25

4

4

1

4

36

4

25

64

9

36

100

256

49

 n = 20    

d²= 196 + 4 + 64 + 1 + 256 + 169 + 25 + 4 + 4 + 1 + 4 + 36 + 4  + 25 + 64 + 9 + 36 + 100 + 256 +49 = 1307      

ρ = 1 -   6d²     = 1 -  6 x 1307      = 1 –  7842      = 1 –  7842    = 1 – 0.9 = 0.1

           n(n² - 1)           20(400 – 1)           20 x 399            7980

A value of 0.1 means there is almost no correlation between the number of pictures of the Sun and the Times meaning there is no relationship between the two.

I have put the data collected from the survey into tables.

How old are you?

Tally

Frequency

6 – 15

IIII

6

16 – 25

IIII

4

26 – 35

II

2

36 – 45

II

2

46 – 55

IIII

4

56 +

II

2

What gender are you?

Tally

Frequency

Male

IIII IIII III

13

Female

IIII II

7

How often do you read a newspaper?

Tally

Frequency

Everyday

IIII

5

Once a week

I

1

Once a fortnight

IIII III

8

Once a year

II

2

Never

III

3

Other

I

1

What type of newspaper do you prefer?

Tally

Frequency

Tabloid

IIII IIII I

11

Broadsheet

IIII

4

Both

III

3

None

I

1

Other

II

2

What do you read in a newspaper?

Tally

Frequency

Sport

IIII I

6

Look at pictures

IIII

4

Current news affairs

IIII

5

Headings/

Subheadings

0

Entertainment

II

2

TV listings

I

1

Other

II

2

‘Tabloids tend to exaggerate stories’

Tally

Frequency

Agree

IIII IIII IIII

15

Disagree

III

3

Don’t know

II

2

‘Broadsheet newspapers are aimed at an older audience’

Tally

Frequency

Agree

IIII IIII III

13

Disagree

IIII I

6

Don’t know

I

1

...read more.

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