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  • Level: GCSE
  • Subject: Maths
  • Word count: 1372

newspaper comparisons part 2/3

Extracts from this document...

Introduction

The second set of articles which I will be comparing is about a kidnapped girl named Madeleine McCann. The Sun article is headed ‘This Is My Daughter…Not Madeleine’, the Daily Mail article is headed ‘No, She Isn’t Madeleine’ and the Evening Standard article is headed ‘Maddy Family’s Vow After Morocco Sighting Blow’. Below are the tally charts for my results from The Sun, the Daily Mail and the Evening Standard in their respective order.

The Sun

Number of letters per word

Tally

(Frequency)

Cumulative Frequency

Total number of letters

1

image00.png

1

1

2

image01.png

4

6

3

image00.png

10

18

4

image04.png

19

36

5

image00.png

25

30

6

image00.png

31

36

7

image02.png

33

14

8

image01.png

36

24

9

image02.png

38

18

10

38

11

image02.png

40

22

12

40

13

40

Total

40

40

205

Daily Mail

Number of letters per word

Tally

(Frequency)

Cumulative Frequency

Total number of letters

1

image02.png

2

2

2

image00.png

3

2

3

image00.png

9

18

4

image03.png

14

20

5

image01.png

22

40

6

image00.png

28

36

7

image04.png

32

28

8

image04.png

36

32

9

image02.png

38

18

10

image00.png

39

10

11

39

12

image00.png

40

12

13

40

Total

40

40

228

Evening Standard

Number of letters per word

Tally

(Frequency)

Cumulative Frequency

Total number of letters

1

image00.png

1

1

2

image02.png

3

4

3

image03.png

8

15

4

image04.png

12

16

5

image00.png

18

30

6

image01.png

26

48

7

image03.png

31

35

8

image04.png

35

32

9

image02.png

37

18

10

37

11

image02.png

39

22

12

image00.png

40

12

13

40

Total

40

40

233

Using the same method as before, I will make a table showing the averages for each of the newspaper articles.

Evening Standard

Daily Mail

The Sun

Median

6

5

5

Mean

5.825 (6)

5.7 (6)

5.125 (5)

Mode

7

5

4

...read more.

Middle

I have noticed that this has happened in both of the article comparisons so far. This could mean that the Evening Standard contains more letters per word but as the third set of articles has not been compared, I cannot be sure.

Now I will work out the range, the interquartile range and the standard deviation for each of these articles.

The range for the Evening Standard is eleven, the Daily Mail’s range is eleven and The Sun’s range is ten

image06.png

The IQR of the Evening Standard is 3.1image07.png

The IQR of the Daily Mail is 2.7

The IQR of The Sun is 2.8

image08.png

From these box plots I can make probability statements such as

75% of all the words in all three newspapers are probably three or more letters long.

The Sun

Daily Mail

Evening Standard

x

f

fx2

x

f

fx2

x

f

fx2

1

1

1

1

1

1

1

2

2

2

3

12

2

2

8

2

1

4

3

6

54

3

5

45

3

6

54

4

9

144

4

4

64

4

5

80

5

6

150

5

6

150

5

8

200

6

6

216

6

8

288

6

6

216

7

2

98

7

5

245

7

4

196

8

3

192

8

4

256

8

4

256

9

2

162

9

2

162

9

2

162

11

2

242

10

2

200

11

1

121

12

1

144

12

1

144

Using the formula image09.png, the standard deviation for The Sun is 2.35. The standard deviation for Daily Mail is 2.43 and the standard deviation of the Evening Standard is 2.73.

...read more.

Conclusion

This is the third and final set of articles which I am comparing. In each comparison I have noticed that the Evening Standard always has a higher number of letters in a word which therefore concludes my first question which I was to answer.

I will now work out the range, the interquartile range and the standard deviation for this set of articles.

The range of the Evening Standard is twelve, the range of the Daily Mail is eleven and the range of The Sun is ten.

image11.png

IQR of Evening Standard is 3.6

IQR of Daily Mail is 3.5image07.png

IQR of The Sun is 3.2

image12.png

Looking at these box plots I can say that only 25% of the words in The Sun are 6 letters long or more.

The Sun

Daily Mail

Evening Standard

x

f

fx2

x

f

fx2

x

f

fx2

1

1

1

1

2

2

1

1

1

2

3

12

2

2

8

2

2

8

3

7

63

3

6

54

3

5

45

4

6

96

4

5

80

4

4

64

5

8

200

5

6

150

5

6

150

6

5

180

6

7

252

6

7

252

7

4

196

7

4

196

7

5

245

8

2

128

8

3

192

8

5

320

9

2

162

9

1

81

9

2

162

10

1

100

10

1

100

10

1

100

11

1

121

11

1

121

12

1

144

12

2

288

13

1

169

The standard deviation of The Sun is 2.27 and the standard deviation of Daily Mail is 2.70. The standard deviation of the Evening Standard is 2.59. The Evening Standard has had the highest standard deviation in each of the articles compared, so therefore, the Evening Standard has the highest spread.

Next part is newspaper comparison part 3/3

...read more.

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