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• Level: GCSE
• Subject: Maths
• Word count: 1892

Determine which of the two sources (newspaper or magazine) has the most letters.

Extracts from this document...

Introduction

Centre no:                Maths investigation: Hypothesis

________________________________________________________________________

Mathematics Investigation

Hypothesis

I have been given an investigation to study an article each from a newspaper and a magazine. The investigation says that the articles must count a minimum of 100 words from each of the two sources and then count the number of letters in each word on he articles from the two sources. This investigation is to determine and decide which of the two sources has the most letters.

In order to find out and complete this investigation I must count the letters in each 100 of the words from both sources I have chosen to study, and then I must show my results by creating a table. The table will be set out as a tally chart.

My prediction is that the investigation will show me, that the newspaper will have the words with the most letters.

 Newspaper: Daily Telegraph University magazine: Supplement No of letters Tally Frequency No of letters Tally Frequency 1 2 1 3 2 16 2 16 3 23 3 19 4 15 4 17 5 7 5 9 6 4 6 11 7 7 7 7 8 8 8 7 9 9 9 4 10 1 10 1 11 2 11 1 12 1 12 2 13 1 13 1 14 14 2 Total 96 Total 100

By looking and studying from my results I have realised my prediction for the investigation was incorrect, I did not expect this. This must be because the magazine was likely to

Middle

4.5

38

< 4

56

5-6

6.5

11

< 6

67

7-8

8.5

15

< 8

82

9-10

10.5

10

< 10

92

11-12

12.5

3

< 12

95

13-14

14.5

1

< 14

96

From the data above, I can see that the most letters are in between 3-4.

The information that I have gathered from the graph is written below:

Upper quartile: (7.2, 72)

Median:            (3.8, 48)

Lower quartile: (2.6, 24)

I have also set out a cumulative frequency table below for the university magazine data from the tally chart table. I did the same thing for the magazine as I did for the newspaper to work out the data.

Magazine

 Letters Upper class boundary Frequency Mid-interval Cumulative frequency 1-2 2.5 19 < 2 19 3-4 4.5 36 < 4 55 5-6 6.5 20 < 6 75 7-8 8.5 14 < 8 89 9-10 10.5 5 < 10 94 11-12 12.5 3 < 12 97 13-14 14.5 3 < 14 100

From the table above, I can see again that most letters are between 3-4, which is very much similar and the same for the newspaper.

The information that I have gathered from the graph is written below:

Upper quartile: (6.6, 75)

Median:            (4.2, 50)

Lower quartile: (2.8, 25)

Looking at both of the cumulative frequency graphs for the newspaper and the magazine, I could see that from both of the graphs, they almost have the same lower quartile, median and upper quartile against each other. But the magazine still has the higher lower quartile, median and upper quartile reading, which adds to more evidence that my hypothesis was incorrect.

Conclusion

My hypothesis for the first investigation was incorrect, but maybe because the university magazine supplement was targeted at mature students, people so it would have likely to contain words with a high vocabulary. But in my further investigation my hypothesis turned out to be correct, which I predicted from the first investigation I did.

My further investigation showed me that I was actually correct about my hypothesis, by looking at and examining the results of my data that I have collected and created.

Comparing both of the investigations I would say that the first investigation was more difficult to solve as I did not expect my hypothesis to be incorrect and I would have to think why is this. I think the second investigation was much easier as I knew what I had to do, to solve the problem that was created for me in the first investigation. And that was to further investigate, which lead me to prove my hypothesis is actually correct after all.

________________________________________________________________________

Candidate no:        []        2002

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