# The Average Length of Words From Two Newspapers

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The Average Length of Words From Two Newspapers

This is an investigation to compare the average length of words from
two different newspapers, i.e. The Guardian and The Sun. One newspaper
has to be a broadsheet and the other has to be a tabloid.

Aim 1
=====

This is to find out which midweek newspapers have longer average word
lengths and the age range the particular newspaper is aimed at. To
find the reading age of the newspaper I will be following this
formula: -

This formula is to find out the reading age of a passage of writing.

Flesch Reading Ease score

Rates text on a 100-point scale; the higher the score, the easier it
is to understand the document. For most standard documents, aim for a
score of approximately 60 to 70.

The formula for the Flesch Reading Ease score is:

206.835 - (1.015 x ASL) - (84.6 x ASW)

Where:

ASL = average sentence length (the number of words divided by the
number of sentences)

ASW = average number of syllables per word (the number of syllables
divided by the number of words)

Hypothesis
==========

I will be using The Guardian (Broadsheet) and The Sun (Tabloid). I
believe that the guardian will be set at more intellectual readers and
that the words will be much larger than those of The Sun. The guardian
is a much larger paper and The Sun seems to be less in depth.

Statistics
==========

Number of words in sample from each newspaper = 300

The Sun;

Word Length

1

2

3

4

5

6

7

8

9

10

11

12

13

Amount

13

41

66

41

33

39

28

26

11

2

2

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"The Average Length of Words From Two Newspapers." 123HelpMe.com. 25 Aug 2019
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### Popular Essays

2

1

This table shows the word length of 300 words from The Sun.

There is a range of 12.

The range is the difference between the largest number and the lowest.

13 - 1 = 12.

The median is 4.

The median is the middle value. 300 / 2 = 150.

The mean is 5.

Total of items divided by number of items. 1438 / 300 = 4.7

The mode is 3.

The mode is the most common number.

Total number of letters = 1438

Amount x word length

[IMAGE]

This graph shows how the length of words are spread out. It shows that
the total amount of letters used most is three. It also shows that all
words are mainly kept between the 2 and 6 letter margin.

The reading age for this would be;

206.835 - (1.015 x 23) - (84.6 x 1.5) = 97.39

23 = 300 / 13

1.5 = 454 / 300

The reading age is quite low because it is very close to 100 which
means young children could understand it. The very high lettered words
are extreme values because they occur very rarely.

The standard deviation is:

This version "S = square root of, Î£(x-m)Â² / n" is the most revealing
about the real meaning of standard deviation, because it makes you 1)
find the deviation (x - m), between each data entry and the mean, and
then 2) find the 'average' of these deviations, by adding them up (Î£)
and dividing by the number, n. The processes of squaring and square
rooting in amongst it all means it isn't quite the true "average"
deviation, so we call it the "standard deviation" instead.

This is working out the spread.

I will be using the formula sÂ² = Î£f(xÂ²) / n - mÂ²

(13x1Â²)+(41x2Â²)+(66x3Â²)+(41x4Â²)+(33x5Â²)+(39x6Â²)+(28x7Â²)+(26x8Â²)+(11x9Â²)+(2x10Â²)+(2x11Â²)+(2x12Â²)+(1x13Â²)
/ 300 - 25 = 3

âˆš3= 1.7

Standard deviation = 2.

The Guardian;

Word Length

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

Amount

5

48

62

59

33

21

23

10

12

14

6

5

1

0

0

1

This table shows the lengths of 300 words from The Guardian.

The range is 15.

The median is 4.

The mean is 5.

The mode is 3.

Total number of letters = 1458

For the standard deviation I will be using the same formula as above:

(5x1Â²)+(48x2Â²)+(62x3Â²)+(59x4Â²)+(33x5Â²)+(21x6Â²)+(23x7Â²)+(10x8Â²)+(12x9Â²)+(14x10Â²)+(6x11Â²)+(5x12Â²)+(1x13Â²)+(1x16Â²)
/ 300 - 25 = 6

âˆš6 = 2.4

Standard deviation is 2.

[IMAGE]

This is a graph showing the word length of the same article as The Sun
but in the Guardian. You can see there are more larger length words
than in the previous chart. The reading age for this would be;

206.835 - (1.015 x 27) - ( 84.6 x 1.63) = 41.53

27 = 300/11

1.63 = 489/300

41.53 is a low score which means that is for a much older audience
than the sun.

Comparison

The documents used in both investigations is about the war in Iraq.
From the information displayed above and what is about to be in a
table underneath, shows that The Guardian is for a more intellectual
audience.

Sun

Guardian

Sun or Guardian

Range

12

15

G

Mean

7

3

S

Mode

3

3

D

Median

4

4

D

Total letters

1438

1458

G

Reading age

97.39

41.53

G

Standard Deviation

2

2

D

This table shows that The Guardian is a more intellectual newspaper
and proves that my theory was correct because I believed The Guardian
would be set at a higher level of intelligence than the sun.

Aim 2
=====

In this investigation I will be comparing two Sunday newspapers i.e.
News Of The World (Tabloid) and Sunday Mail (Broadsheet).

Hypothesis
==========

The two newspapers I am comparing for this hypothesis are The Sunday
Times (Broadsheet) and The News Of The World (Tabloid). I believe The
Sunday Times will have a larger mean word length than The News Of The
World because it is a larger paper which means it goes more in depth
about what it is discussing.

Statistics

I have used 300 words from each newspaper.

The Sunday Times:

Word Length

1

2

3

4

5

6

7

8

9

10

11

12

13

Amount

14

63

46

42

32

29

32

17

13

7

3

1

1

The range is 12.

The mode is 2.

The median is 4.

The mean is 5.

Total number of letters = 1371

The chart below shows haw the word lengths are spread out. As you can
see it is spread out but there is a lot of two lettered words.

[IMAGE]
The standard deviation for this would be:

(14x1Â²)+(63x2Â²)+(46x3Â²)+(42x4Â²)+(32x5Â²)+(29x6Â²)+(32x7Â²)+(17x8Â²)+(13x9Â²)+(7x10Â²)+(3x11Â²)+(1x12Â²)+(1x13Â²)
/ 300 - 25 = 2.6

âˆš2.6 = 1.6

Standard deviation is 2.

The reading age for this document is:

206.835 - (1.015 x 25) - (84.6 x 1.67) = 40.178

This is a very low reading age so it would mean it is a hard document
to read.

News of the World:

Word Length

1

2

3

4

5

6

7

8

9

10

11

12

Amount

9

45

53

57

35

29

27

23

15

5

1

1

The range is 11.

The mode is 3.

The median is 4.

The mean is 5.

Total number of letters = 1416.

The reading age for this document is:

206.835 - (1.015 x 20) - (84.6 x 1.6) = 51.175

[IMAGE]

This chart shows the spread of word length.

The standard deviation is:

(9x1Â²)+(45x2Â²)+(53x3Â²)+(57x4Â²)+(35x5Â²)+(26x6Â²)+(27x7Â²)+(23x8Â²)+(15x9Â²)+(5x10Â²)+(1x11Â²)+(1x12Â²)
/ 300 -25 = 2.2

âˆš2.2 = 1.4

Standard deviation is 1.

Comparison

News of the World

The Sunday Times

World or Times

Range

11

12

T

Mean

5

5

D

Mode

3

2

W

Median

4

4

D

Total letters

1416

1371

W

Reading age

51.175

40.178

T

Standard deviation

1

2

W

This table shows that the News Of The World is for more intellectual
people. I was wrong in my theory. There are different circumstances
that could have made the results end up the way they are. The stories
used can be different and because they are from the beginning of the
story some of them could be more of an introduction then an in depth
review.

Overall Conclusion

The statistics shown above show many varying results. Now I am going
to do a final comparison to see which newspaper is for older and more
intellectual people, using all four of the samples:

The Sun

Guardian

News of the World

The Sunday Times

Sun, Guardian, Times, World

Range

12

15

11

12

G

Mean

7

3

5

5

S

Mode

3

3

3

2

S,G,W

Median

4

4

4

4

D

Total letters

1438

1458

1416

1371

G

Reading age

97.39

41.53

51.175

40.178

T

Standard deviation

2

2

1

2

W

Overall the most intellectually challenging newspaper is The Guardian.
The table shows that the newspapers are the same in some ways but they
can differ a lot.