• Join over 1.2 million students every month
• Accelerate your learning by 29%
• Unlimited access from just £6.99 per month
Page
1. 1
1
2. 2
2
3. 3
3
4. 4
4
5. 5
5
6. 6
6
7. 7
7
8. 8
8
9. 9
9
10. 10
10
11. 11
11
12. 12
12
13. 13
13
14. 14
14
15. 15
15
16. 16
16
17. 17
17
18. 18
18
19. 19
19
20. 20
20
21. 21
21
22. 22
22
• Level: GCSE
• Subject: Maths
• Word count: 3118

Compare children's books and adult's books by setting an appropriate hypothesis and then finding relevant data to prove it.

Extracts from this document...

Introduction

This is my maths statistics coursework, which is called, read all about it. The aim of this coursework is for me to statistically analyse books or newspapers.

My Plan

My plan is to compare children’s books and adult’s books by setting an appropriate hypothesis and then finding relevant data to prove it. I have decided that my hypothesis will be that there are longer words in adult’s fiction books than in children’s fiction books. I am going to do this by counting the numbers of letters in a word. I am going to use three children’s adventure books and three adult romance books, this is to stop bias and make data more reliable by using more than one book. I am going to use books by different authors this is so as to stop being biased. I am going to use the first one hundred words from the middle page from each book; this is also to stop being bias by using random sampling.

With these words, I will make a tally chart to show the number of letters in each word. From the data I

Middle

9

4

96

10

1

97

11

3

100

Leap of Faith
 No of letters in a word Frequency Cumulative Frequency 1 5 5 2 10 15 3 36 51 4 18 69 5 5 74 6 9 83 7 9 92 8 3 95 9 2 97 10 2 99 11 0 99 12 1 100
Mr Majeika
 No of letters in a word Frequency Cumulative Frequency 1 4 4 2 21 25 3 19 44 4 19 63 5 10 73 6 12 85 7 8 93 8 4 97 9 2 99 10 1 100
Naughty Ameilia Jane
 No of letters in a word Frequency Cumulative Frequency 1 3 3 2 12 15 3 34 49 4 24 73 5 9 82 6 13 95 7 1 96 8 2 98 9 1 99 10 1 100
The Hedgehog
 No of letters in a word Frequency Cumulative Frequency 1 3 3 2 19 22 3 32 54 4 14 68 5 18 86 6 9 95 7 3 98 8 1 99 9 1 100

What I have found From The Tally Charts

By calculating the mean from the data in the tables the mean number of words in the adult’s books is 4.21, 4.24, 4.59, whereas the children’s books have lower means, 3.75, 3.9, and 4.17. This shows that the adult’s books do have on average bigger words but not by much.

The ranges of the adult’s books are 10, 11, 10, whereas the children’s are 8, 9, and 9. This shows that the adult books have a bigger spread of words and the children’s books have a closer spread of word length.

The tables show that the adults books still have a lot of smaller words (2, 3, 4 lettered words) but they have a lot more longer words (8, 9, 10, 11 lettered words) that the children’s books do not have.

What I have Found from the Cumulative Frequency Graphs and Box Plots

By looking at the cumulative frequency graphs and the box plots it shows that the adult’s books have upper quartiles of 4.6, 6, 5.1 whereas the children’s books have upper quartiles of 4.4, 4.2, and 5.2. Quite clearly overall the adult books have higher upper quartiles.

When looking at the lower quartiles, there doesn’t seem to be much difference between the adults and the children’s. The adult books lower quartiles are 2, 2.2 and 2.2 and the children’s are 2, 1.8 and 2.1. This shows that the adult’s books have lower quartiles are just slightly higher not too much.

The inter quartile ranges of the adults books are 3.1, 3.8 and 2.4. The children’s books are 3, 2.8 and 2. This shows that the adult’s books have a bigger inter quartile range showing that the data is more widely spread about the median. This proves that the adult’s books have larger words than the children’s books.

What I have found from the Standard Deviation

I have used the “divisor n-1” formula since I am working with a sample data set. The standard deviations of the adult’s books are 15.21, 15.54 and 15.19 and the standard deviation of the children books is 14.13, 16.18 and 15.15. I worked out the mean standard deviation for the adults and the children’s to see which is the largest. The adults mean standard deviation is 15.31 and the children books standard deviation is 15.15. This shows that overall the adults books have a higher standard deviation. This means that the adult books have a wider spread, proving that the adult books have slightly larger words.

Conclusion

All this information proves that adult books do have longer words than children books but adult books still have quite a few shorter words in them. Although children books have quite long words (7, 8, 9 lettered words) the adult’s longer words are even bigger (9, 10, 11, 12 lettered words). So I have come to the conclusion that my hypothesis is correct.

Developing my hypothesis

I am now beginning to wonder if the word length also changes the size of sentence length. So to see if this is correct I am going to change my hypothesis to ‘there are sentences in adult fiction books than in children’s fiction books.’

I am going to collect my data from the same books as I used last time on the same page this is again to avoid bias. I am going to take the first 15 sentences from the page and record my results in tally charts and then produce frequency polygons to show my results.

Data

Lightning strikes

No of words in a sentence

Mid Point

Tally

Frequency

Fx=

1-5

3

4

12

6-10

8

3

24

11-15

13

3

39

16-20

18

2

36

21-25

23

2

46

26-35

30.5

1

30.5

Total= 187.5

Mean= 12.5                         Mode= 1-5

Median= 11-15

The Obsession
 No of words in a sentence Mid Point Tally FrequencyFx= 1-5 3 4 12 6-10 8 7 56 11-15 13 1 13 16-20 18 2 36 21-25 23 1 23 26-35 30.5 0 0

Total= 140

Mean= 9.33                                                Mode= 6-10

Median= 6-10

Leap of Faith
 No of words in a sentence Mid Point Tally FrequencyFx= 1-5 3 2 6 6-10 8 3 24 11-15 13 3 39 16-20 18 4 72 21-25 23 2 46 26-35 30.5 1 30.5

Total= 217.5

Mean= 14.5                                                Mode= 16-20

Median= 11-15

Mr. Majeika

 No of words in a sentence Mid Point Tally FrequencyFx= 1-5 3 5 15 6-10 8 2 16 11-15 13 2 26 16-20 18 3 54 21-25 23 1 23 26-35 30.5 2 61

Conclusion

Overall Conclusion

From all this information I have came to the strong conclusion that my hypothesis is correct because all the information has pointed to adult books having longer sentences than children books. I have also come to the conclusion that when books have longer words they also have longer sentences. I have come to this conclusion because the adult’s books have the longer words and also have the longest sentences. This also means that children’s books do have shorter words and shorter sentences, which is what you would expect to normally find to help them to learn to read.

Limitations and Improvements

The limitations of this investigation were that we had a limited amount of time and I only had a limited amount of books available to me. So this means that both hypotheses are not conclusive because this is only a small sample taken. To make this investigation better, I could have looked at a wider range of books by lots more different authors, which would have made bias even more unlikely to happen. I would also use more of the data out of the books from more pages; this would also make bias much more unlikely to happen. I could also investigate page length, paragraph length or the amount of pages in a chapter.

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

Found what you're looking for?

• Start learning 29% faster today
• 150,000+ documents available
• Just £6.99 a month

Not the one? Search for your essay title...
• Join over 1.2 million students every month
• Accelerate your learning by 29%
• Unlimited access from just £6.99 per month

Related GCSE Comparing length of words in newspapers essays

1. GCSE Statistics Coursework

I will need to make a scatter graph so I can interpolate a value for both newspapers and compare the values. I will now use the area of headline and text to make a scatter graph. Gradient for Daily Mirror = 55 / 40 = 1.375 Gradient for Daily Mail

2. Statistically comparing books

I will also use blocks of text and find out the average letters per word, word per sentence and the reading age of that block. I will use readability statistics on Microsoft Word to find out this information. It will save time as the computer works it all out instantly.

1. Maths Coursework

Comparisons In this section all three of the newspapers sentence length will be compared by their median and inter quartile range. These values were used because the median will give an average sentence length of the entire paper in question.

2. THE STROOP EFFECT: FURTHER TESTS OF THE ATTENTION-CAPTURE HYPOTHESIS

Research hypothesis 3 Response times for congruent-incongruent word pairs were obtained by combining data from the 'top incongruent' and 'bottom incongruent' conditions. Tabulated value of t (p < 0? 05, df = 74, one-tailed test) = 1? 666 Calculated value of t = 2? 076 As 2? 076 > 1?

1. The Open Box Problem

Therefore x must be equal to 2.535898385w 12 x = w 4.732 Length 3 times Width I am now going to consider a rectangle which has a length 3 times the size of the width. V = L x B x H = x(3w - 2x)(w - 2x)

2. Aim: having been presented with some data, to come up with a hypothesis and ...

I will use this combination "RAN# x 86 +1" and keep on pressing this in order to receive my sample, however if a number is repeated I shall discard it and simply carry on, as this number has already been accounted for.

1. My hypothesis is that the children's book will have a mean word length much ...

This is because the choice of vocabulary used would be much wider than that of the children's book and therefore the word lengths will be more spread out from the mean. Plan The two books I have chosen to compare are; Roald Dahl - James and the giant peach as

2. In this investigation I am going to compare and analyse three newspapers to see ...

The method I have used to count the data is from a sports article as main study is going to be based on a sport article. I chosen a sports article because I think it's the going to have the least difference so if its big there is going to

• Over 160,000 pieces
of student written work
• Annotated by
experienced teachers
• Ideas and feedback to