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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 1 1 2 4 6 3 10 18 4 19 36 5 25 30 6 31 36 7 33 14 8 36 24 9 38 18 10 38 11 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 2 2 2 3 2 3 9 18 4 14 20 5 22 40 6 28 36 7 32 28 8 36 32 9 38 18 10 39 10 11 39 12 40 12 13 40 Total 40 40 228 Evening Standard Number of letters per word Tally(Frequency) Cumulative Frequency Total number of letters 1 1 1 2 3 4 3 8 15 4 12 16 5 18 30 6 26 48 7 31 35 8 35 32 9 37 18 10 37 11 39 22 12 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

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

The IQR of the Evening Standard is 3.1

The IQR of the Daily Mail is 2.7

The IQR of The Sun is 2.8

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 , 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.

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.

IQR of Evening Standard is 3.6

IQR of Daily Mail is 3.5

IQR of The Sun is 3.2

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

This student written piece of work is one of many that can be found in our GCSE Comparing length of words in newspapers section.

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