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Comparing three newspapers using the percentage, cumulative frequency and box-plot

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Introduction

Bismah Malik 10.2                Maths Statistics coursework

Maths coursework

Introduction

In this piece of coursework, I will be comparing three newspapers using the percentage, cumulative frequency and box-plot. All three newspapers were purchased on the same date on Monday 9th January 2006. By purchasing the newspapers on the same day it makes it more sufficient and reliable. The three newspapers I will be using are:

• The Sun (red top tabloid)
• The Daily Mail (black top tabloid)

In my coursework I have split each newspaper into five categories. The five categories are:

• News
• Entertainment
• Sports

The category of news will consist of:

• Politics
• Current affairs
• World news

The category of entertainment will consist of:

• TV guide
• Celebrity gossip
• Horoscopes
• Agony aunt

The category of sports will consist of all types of sports such as:

• Rugby
• Football
• Cricket etc.

The advert category will consist of:

• Offers
• Job opportunities.

The business category will consist of:

• Money
• Stock market

I will count each article in the newspaper and put them in one of the five categories using a tally table. I will then add up the frequency of each category for each newspaper and add up the total frequency. I will then find the percentage of each of the five categories for all three newspapers by dividing the total frequency of each category by the total number of articles I have and then times it by a hundred to find the percentage and then display my results in a bar chart.

Hypothesis

Middle

||||| |||

8

0+0+8+19+18+18+14+9+8=94

10

||

2

0+0+8+19+18+18+14+9+8+2=96

11

||

2

0+0+8+19+18+18+14+9+8+2+2=98

12

|

1

0+0+8+19+18+18+14+9+8+2+2+1=99

13

0

0+0+8+19+18+18+14+9+8+2+2+1+0=99

14

||

1

0+0+8+19+18+18+14+9+8+2+2+1+0+1=100

Total

100 Lower Quartile:100+1 =25.25 = 3.9

4

Median:100+1 =50.5 = 5.1

2

Upper Quartile:3(100+1) =75.75 = 6.8

4

Inter Quartile: 75.75 - 25.25 = 50.5

The Daily Mail

 Number of letters Tally Frequency Cumulative frequency 1 0 0 2 0 0+0=0 3 ||||| ||||| | 11 0+0+11=15 4 ||||| ||||| |||| 15 0+0+11+15=32 5 ||||| ||||| ||||| 15 0+0+11+15+15=47 6 ||||| ||||| ||||| ||||| 20 0+0+11+15+15+20=67 7 ||||| | 6 0+0+11+15+15+20+6=73 8 ||||| ||| 8 0+0+11+15+15+20+6+8=81 9 ||||| ||||| 10 0+0+11+15+15+20+6+8+10=91 10 | 1 0+0+11+15+15+20+6+8+10+1=92 11 |||| 4 0+0+11+15+15+20+6+8+10+1+4=96 12 || 2 0+0+11+15+15+20+6+8+10+1+4+2=98 13 || 2 0+0+11+15+15+20+6+8+10+1+4+2+2=100 Total 100 Lower Quartile:100+1 =25.25 = 3.5

4

Median:100+1 =50.5 = 5

2

Upper Quartile: 3(100+1) =75.75 = 7.1

4

Inter Quartile: 75.75 - 25.25 = 50.5

The Guardian

 Number of letters Tally Frequency Cumulative frequency 1 0 0 2 0 0+0=0 3 ||||| ||||| | 11 0+0+11=11 4 ||||| ||||| ||| 13 0+0+11+13=24 5 ||||| ||||| |||| 14 0+0+11+13+24=38 6 ||||| ||||| ||||| ||| 18 0+0+11+13+24+18=56 7 ||||| ||||| ||| 13 0+0+11+13+24+18+13=69 8 ||||| ||||| ||||| 15 0+0+11+13+24+18+13+15=84 9 ||||| ||| 8 0+0+11+13+24+18+13+15+8=92 10 ||||| 5 0+0+11+13+24+18+13+15+8+5=97 11 ||| 3 0+0+11+13+24+18+13+15+8+5+3=100 Total 100 Lower Quartile:100+1 =25.25 = 4

4

Median:100+1 =50.5 = 5.7

2

Upper Quartile:3(100+1) =75.75 = 8

4

Inter Quartile: 75.75 - 25.25 = 50.5 Number Of Letters (x) Frequency (f) F x x x - x (x - x)2 fx(x-x)2 1 0 1x0=0 1-0=1 (1)2 =1 0x1=0 2 0 2x0=0 2-0=2 (2)2 =4 0x4=0 3 8 3x8=24 3-8=-5 (-5)2 =25 8x25=200 4 19 4x19=76 4-19=-15 (-15)2 = 225 19x225=4275 5 18 5x18=90 5-18=-13 (-13)2 =169 18x169=3049 6 18 6x18=108 6-18=-12 (-12)2 =144 18x144=25932 7 14 7x14=98 7-14=-7 (-7)2=49 14x49=686 8 9

Conclusion

3

Highest Value:11

Mean:629  =6.29 = 3

100

Conclusion

From my box plot and graphs I can see that The Daily Mail has the lowest quartile value of 3.5, so it has got the word lengths are the shorter than The Guardian which agreed with my hypothesis but it also has shorted word length than The Sun which does not agree with my hypothesis as I said that The Sun would have the smaller words and the easiest to read.

The Guardian has got the highest quartile value of 8 so it shows that it has got longer words that The Sun and The Daily Mail. The value of the upper Quartile for The Sun is 6.8, which is less than both The Daily Mail, which has the upper value of 7.1, which proves that is also easier to read. I also stated in my hypothesis that the Guardian would have a higher range of words and I was proven correct and also that I said The Sun would have the easiest words to read, so I was also correct to state that.

I also included a Standard deviation so that I could see whether the newspaper is spread out or not. From my standard deviation I can see that the most spread out and easier to read newspaper is the sun as it is 18.587 whereas the Guardian is 8.373, which clearly shows that The Sun is more spread out than The guardian. I can also see that The Daily Mail is also quite spread out as the standard deviation is 17.909, which is closer to The Sun than The Guardian.

This student written piece of work is one of many that can be found in our GCSE Height and Weight of Pupils and other Mayfield High School investigations section.

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