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  • Level: GCSE
  • Subject: Maths
  • Word count: 2099

Tabloid and broadsheet newspaper comparison maths coursework

Extracts from this document...

Introduction

Maths Coursework Michael Grainger S1 Task D: Authorship Introduction: Tabloid and broadsheet newspapers are both aimed at different audiences. This, therefore, means that they are written differently to correspond with the audience that they are aimed at. Tabloid newspapers supposedly give an easier read than a broadsheet newspaper and this is what this investigation will prove. Aim: The aim of this piece of coursework is to gain information about authorship of a text using statistical measures. I will collect data from a population with a view to estimating population parameters (e.g. mean & variance) by using estimation techniques from the previous module. The task will involve taking a random sample, expressing my results in various forms appropriate to the work also calculating and comparing confidence intervals. Prediction: I predict that after counting the letters in sample words from both a tabloid and a broadsheet newspaper, that I will find that the broadsheet newspaper has longer words overall because it is aimed at a more educated audience. This then means that the tabloid will have a shorter mean word length making it an easier read for the audience that it is aimed at. The population being used is a random sample of word lengths from both a tabloid newspaper and a broadsheet newspaper. When collecting the data, people's names, place names, numbers and hyphenated words will not be included in the results. A sample of 50 words will be taken from the second page of each paper, containing political news, and also from the last and second last pages of each paper, containing sporting news. ...read more.

Middle

(5.460 - 1.061), (5.460 + 1.061) We can be 99% confident that the mean lies between: (4.399, 6.521) Sports Pages 90% confidence interval: (4.540 - (1.645 x 0.371)), (4.540 + (1.645 x 0.371)) (4.540 - 0.610), (4.540 + 0.610) We can be 90% confident that the mean lies between: (3.930, 5.150) 95% confidence interval: (4.540 - (1.96 x 0.371)), (4.540 + (1.96 x 0.371)) (4.540 - 0.727), (4.540 + 0.727) We can be 95% confident that the mean lies between: (3.813, 5.267) 99% confidence interval: (4.540 - (2.575 x 0.371)), (4.540 + (2.575 x 0.371)) (4.540 - 0.955), (4.540 + 0.955) We can be 99% confident that the mean lies between: (3.585, 5.495) Broadsheet newspaper Political Pages 90% confidence interval: (7.040 - (1.645 x 0.483)), (7.040 + (1.645 x 0.483)) (7.040 - 0.795), (7.040 + 0.795) We can be 90% confident that the mean lies between: (6.245, 7.835) 95% confidence interval: (7.040 - (1.96 x 0.483)), (7.040 + (1.96 x 0.483)) (7.040 - 0.947), (7.040 + 0.0.947) We can be 95% confident that the mean lies between: (6.093, 7.987) 99% confidence interval: (7.040 - (2.575 x 0.483)), (7.040 + (2.575 x 0.483)) (7.040 - 1.244), (7.040 + 1.244) We can be 99% confident that the mean lies between: (5.796, 8.284) Sports Pages 90% confidence interval: (5.690 - (1.645 x 0.383)), (5.690 + (1.645 x 0.383)) (5.690 - 0.630), (5.690 + 0.630) We can be 90% confident that the mean lies between: (5.060, 6.320) ...read more.

Conclusion

You can see from looking at the confidence intervals, used to estimate the mean with confidence, that some of the intervals overlap. This means that two or more of the mean values may be equal because they can be found within the same set of values. This does not matter much apart from the fact that the data does not show what it was intended to because we can't tell which newspaper section had the longest mean word length. Conclusion: In conclusion we can now tell that, because the average values for the broadsheet were higher, that it is a harder read than the tabloid newspaper and that, as the tabloid has less letters per word on average, it is therefore an easier read. Also, as mentioned before we can tell from the standard deviations that the tabloid has more constant data with values centred a round a certain set. The broadsheet, however, has more high and low letters with a greater range between them; therefore, it is less constant data. Altogether this means that my prediction is correct but the investigation is not necessarily concluded. Only a relatively small sample was taken and it was from only one of each type of newspaper. To further the results a larger sample could have been used and more newspapers could have been investigated. Another thing that may be worth mentioning is that word length may not necessarily mean that the newspaper is an easier read. This conception may have been incorrect so this investigation may not truly tell that a tabloid newspaper is easier to read. ...read more.

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