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• Level: GCSE
• Subject: Maths
• Word count: 1696

Extracts from this document...

Introduction

G.C.S.E MATHEMATICS COURSEWORK

HYPOTHESIS

The Guardian newspaper will use longer words per sentence than The Sun newspaper.

I think this because The Guardian is aimed at a section of society that is supposedly more educated and section a section of the higher employed section of society i.e. Company Directors, Stockbrokers etc and will use longer more obscure words that The Sun readers will not understand as it is aimed at a lower less educated section of the population.

COLLECTING RESULTS

I will use a sample of 100 words taken from each article, omitting any words that are the same in each paper, such as place names and names of people as these are spelt the same no matter which paper they appear in.

EXTENSION HYPOTHESIS

I predict that The Guardian newspaper will have the larger number of words per sentence than The Sun newspaper.  I also predict that The Guardian will have a larger reading age than The Sun newspaper.

COLLECTING RESULTS

TALLY CHART FOR THE NUMBER OF LETTERS PER WORD IN THE GUARDIAN NEWSPAPER

 Number or letters Tally Frequency 1 6 2 19 3 18 4 23 5 19 6 0 7 0 8 5 9 5 10 2 11 3 12 0 TOTAL 100

Middle

0

100

423

The averages for the number of letters per word in The Guardian Newspaper are:

MEAN

FORMULA: Add all the numbers together to obtain a total divideby the total frequency of letters.

6+38+54+92+95+40+45+20+33=        423

423/100=        4.23

MEDIAN

The Median is themiddle number when the numbers are arranged in order.

100/2=        50                6+19+18+23=        66

The 50th number appears in the frequency table at   4

MODE

The mode is the number of letters per word that occurs most often.

A word with 4 letters occurs 23times in the article.

RANGE

The range is the least number of words subtracted from the greatest amount of letters per word.

11-1=        10

The range is 10

FREQUENCY POLYGONS

NUMBER OF LETTERS PER WORD CONTAINED IN THE ARTICLE IN THE GUARDIAN NEWSPAPER

 Number of letters Frequency 1-3 43 4-6 42 7-9 10 10-12 5

Frequency Polygons are marked from the MID POINT

NUMBER OF LETTERS PER WORD CONTAINED IN THE ARTICLE IN THE SUN NEWSPAPER

 Number of letters Frequency 1-3 44 4-6 38 7-9 11 10-12 7

Frequency Polygons are marked from the MID POINT

CUMULATIVE FREQUENCY BOX PLOTS

THE GUARDIAN

 Number of letters per word Frequency Cumulative Frequency 1 6 6 2 19 25 3 18 43 4 23 66 5 19 85 6 0 85 7 0 85 8 5 90 9 5 95 10 2 97 11 3 100 12 0 100

BOX PLOTS

MEDIAN: ½ up the scale

100/2=        50

50th number= 4

LOWER QUARTILE: ¼ way up the scale

100/4=        25

25th number=        2

UPPER QUARTILE: ¾ way up the scale

50+25=        75

75th number is        5

THE SUN NEWSPAPER

 Number of letters per word Frequency Cumulative Frequency 1 4 4 2 19 23 3 21 44 4 21 65 5 8 73 6 9 82 7 2 82 8 4 89 9 5 93 10 2 95 11 3 95 12 2 100

Conclusion

With in the article I chose to conduct my investigation with in The Guardian and The Sun newspapers the former had the greatest amount of sentences at 25 to the latter of23.  Using this I found that The Guardian had the higher MEAN average of 22.2 words per sentence to The Suns 20.9 words per sentence.  The Sun had a higherRANGEof 43 to The Guardians 30.  This is shown in the diagram labelled

Using the Fog (Frequency of Gobbledegook) Readability Index, I calculated the reading age of the two newspapers I selected.

THE GUARDIAN

Complete sentences =                        25

The number of words in the sentences=        100

Average sentence length =                100/5=        20

Number of words with 3 or more syllables=        6

20+6=        26

26*0.4=        10.4

10.4+5=        15.4

THE SUN

Complete sentences =                        5

The number of words in the sentences=        85

Average sentence length =                85/5=        17

Number of words with 3 or more syllables=        7

17+7=        24

24*0.4=        9.6

9.6+5=        14.6

This shows that there is not much difference in the reading ages of both the papers but this could be because the sentences I chose to compare were mainly in the form of quotes taken from people being interviewed.  Had I chosen a different set of sentences the outcome would have been different.

Ashley Spirit

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