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  • Level: GCSE
  • Subject: Maths
  • Word count: 2178

For the extension task, I will be looking at the word lengths from the same articles as in the main investigation.To begin with I will collect the information from each newspaper, however this time I will not extract 38 sentences but 38 words.

Extracts from this document...

Introduction

For the extension task, I will be looking at the word lengths from the same articles as in the main investigation.

To begin with I will collect the information from each newspaper, however this time I will not extract 38 sentences but 38 words.

I cannot construct a Stem and Leaf Diagram due to the data values being so small.

As in the main investigation I will take the sample from the first 38 words.

Tabloid

Raw data:

8, 3, 6, 6, 5, 3, 6, 5, 1, 3, 3, 8, 4, 4, 3, 8, 5, 3, 3, 8, 7, 3, 2, 5, 2, 2, 5, 4, 3, 6, 2, 5, 4, 3, 3, 2, 3, 10.

As all the data is under 15 words, I have decided to draw a Frequency Table in place of the Stem and Leaf Diagram.

Letters in word

Tally

Frequency

1

I

1

2

IIII

5

3

IIIIIIII II

12

4

IIII

4

5

IIII I

6

6

IIII

4

7

I

1

8

IIII

4

9

0

10

I

1

Total of Data: 166 Letters

Mean: 166 / 38 = 4.3 Letters

Median: 4 Letters

Mode: 3 Letters

Range: 10 – 1 = 9

Mini-conclusion

The modal word length is low in relation to the raw data, but it is quite close to the median and mean values. The high range shows that the Tabloid is inconstant.

I will now do the same for the Broadsheet.

Broadsheet

Raw data:

9, 4, 10, 4, 7, 5, 4, 10, 7, 9, 3, 1, 3, 6, 8, 10, 10, 5, 10, 9, 7, 8, 6, 5, 7, 4, 8, 7, 6, 5, 5, 3, 7, 5, 9, 11, 6, 3.

Again, I will draw a Frequency Table.

Letters in word

Tally

Frequency

1

I

1

2

0

3

IIII

4

4

IIII

4

5

IIII I

6

6

IIII

4

7

IIII I

6

8

III

3

9

IIII

4

10

IIII

5

11

I

1

Total: 246 Letters

Mean: 246 / 38 = 6.5 Letters

Mode: 5 and 7 Letters

Median: 6 Letters

Range: 11 – 1 = 10 Letters

Mini-conclusion

The modal word length is about right in relation to the Mean and median word lengths.

...read more.

Middle

1 / 2 = 0.5

Histogram displaying the Letters per Word in the Tabloid Newspaper.

Mini Conclusion.

This clearly shows that the majority of words are between 2 and 6 letters long. The two bar with the highest frequency density is the 2 < l ≤ 4, this shows that the Sun tends to use words that are of small sizes. However, I cannot cerify this as it is only the one article I am investigating.

Broadsheet

Letters

Frequency

 Frequency Density

0 < l ≤ 2

1

1 / 2 = 0.5

2 < l ≤ 4

4

4 / 2 = 2

4 < l ≤ 6

10

10 / 2 = 5

6 < l ≤ 8

10

10 / 2 = 5

8 < l ≤ 10

7

7 / 2 = 3.5

10 < l ≤ 12

6

6 / 2 = 3

Histogram showing the Frequency Density of the Broadsheet’s word lengths.

Mini Conclusion

This clearly shows that the majority of word lengths are between 4 and 8. This is ever so slightly different from the Tabloid. This suggest to me that the Broadsheet uses words that have more letters in them, keeping the theory of broadsheet and Tabloid Papers correct.

I will now construct another Histogram with the two sets of data on as I can see if there is any relation to the word lengths.

Comparative Histogram for Word Lengths.

Pie Charts

 I will use the same formula as before to work out the degrees needed. However, I will not group the frequencies together.

360 / 38 = 9.47              1º = 9.47

Tabloid

Letters

Frequency

Degrees on Diagram

1

1

1 x 9.47 = 9.47º

2

5

5 x 9.47 = 47.35º

3

12

12 x 9.47 = 113.64º

4

4

4 x 9.47 = 37.88º

5

6

6 x 9.47 = 56.82º

6

4

4 x 9.47 = 37.88º

7

1

1 x 9.47 = 9.47º

8

4

4 x 9.47 = 37.88

9

0

...read more.

Conclusion

Large

Tabloid

Sub Headings

3

1

Tabloid

Quotes

5

8

Broadsheet

Bold Print

3 lines

None

Tabloid

Paragraphs

59

26

Tabloid

From the above table, you will notice that the Tabloid is easiest to read. It consists or larger text in comparison to the Broadsheet. The Tabloid also consisted of a Very large photograph, which reduced the text quite dramatically I would imagine, this also made the artile seen small and compact. The headline was considerably large also, compared to the Broadsheet. This would make a person reading the Broadsheet think the article is bigger than it actually is.

Conclusion.

For the extension task, I made numerous hypothesises. I was proved correct in the table above. The Sun was found easier to read on 5/7 accounts, leaving the Guardian with just 2/7 reads. The Guardian was harder to read as I had expected.

The broadsheet had a larger mean and median word length than the Tabloid and was just out on the range and the mode.

This means that all the data was very close compared to the previous investigation. The Broadsheet had longer word lengths but smaller sentence lengths and vice versa.

The Final hypothesis was quite difficult to prove as each newspaper used certain methods that reduced the amount of text, and I cant state which one had used a more effective method, as I have no proof.

Finally, when all the results are compared, you will see that the Tabloid – The sun is easier to read overall.

Daniel Flynn        11’0        Math Coursework

...read more.

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