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  • Level: GCSE
  • Subject: Maths
  • Word count: 2108

Children's Book Investigation

Extracts from this document...

Introduction

Mode The mode= 3 letters per word as that has the most entries Range The range= the highest number of letters per word - the smallest number of letters per word. = 13-1 = 12 Median The median of 871 items is at the 436th no. (middle value), which is equal to 4 Mean= 4 letters per word Mode= 3 letters per word Range= 12 Median= 4 letters per word Standard Deviation Standard deviation= Mean = Mean = 3382 871 Mean = 4 No. of letters per word 2 2 1 -3 9 27 2 -2 4 8 3 -1 1 1 4 0 0 0 5 1 1 1 6 2 4 8 7 3 9 27 8 4 16 64 9 5 25 125 10 6 36 216 11 7 49 343 12 8 64 512 13 9 81 729 Total = 299 2061 Standard deviation = = = = 2.62 (2dp) = 3 This tells us that the number of letters per word in an adult's book will normally be within 3 of the mean. In other words the number of letters per word will usually be between 1 and 7. Childs book No. Of letters per word Total (Frequency) No. X frequency 1 53 53 2 72 144 3 89 267 4 71 284 5 58 290 6 37 222 7 26 182 8 21 168 9 3 27 10 1 10 Total= 441 1647 Mean Mean= 3rd row total 2nd row total Mean= 1647 441 Mean= 3.73 (2dp) ...read more.

Middle

7 11 6 6 x 0.41=2.56 3 12 3 3 x 0.41=1.43 1 13 2 2 x 0.41=0.82 1 Total 871 360 360 Pie chart on graph paper 1a Childs book No of words= 441 360/441= 0.83 0.82 per 1: no. Of letters per word No. Of letters Frequency Working out Angle 1 53 53 x 0.83=43.99 44 2 72 72 x 0.83=59.76 60 3 89 89 x 0.83=74.87 76 4 71 71 x 0.83=58.93 59 5 58 58 x 0.83=49.14 49 6 37 37 x 0.83=30.71 30 7 26 26 x 0.83=21.58 22 8 21 21 x 0.83=17.43 17 9 3 3 x 0.83=2.49 2 10 1 1 x 0.83=0.83 1 Total 441 360 360 (Because I have rounded the actual results to a whole number, the overall total was one less than 360 so I have added an extra 1 degrees to one of the results this shouldn't affect the final result!) Pie chart on graph paper 1b Frequency polygons and graphs Adults book No. Of letters per word 1 2 3 4 5 6 7 8 9 10 11 12 13 Frequency 49 133 156 149 124 111 62 36 22 17 6 3 2 Childs book No. Of letters per word 1 2 3 4 5 6 7 8 9 10 Frequency 53 72 89 71 58 37 26 21 3 1 Frequency polygon on graph paper 3a Cumulative frequency graphs Adults book No. Of letters per word 1-2 3-4 5-6 7-8 9-10 11-13 Frequency 182 305 235 98 39 11 Cumulative frequency 182 (At 2.5) ...read more.

Conclusion

As for an adult they clearly know a wider range of vocabulary therefore they will know long complicated words. Although the adult's book has on average got more letters per word than the child's book, it does not mean that it is conclusive. There is only a small sample, which has been taken. I cannot be sure that the outcome I have shown is genuine, because the data I got could be due to chance. To get more reliable results I could collect more results or do this with several books to see if it is true with all of the novels. To find out if my data gives strong enough evidence for my conclusion I could do a statistical test. My conclusion may not be definite. Word size may not mean that the book is more profound or easier to read, this assumption I have made may be false and overthrow the investigation, this means that without getting more results I cannot say it is a genuine conclusion. If there was more time, to extend this task further I could of maybe compared the size and number of pictures in the adults and child's books and see if there was any correlation. I did not have enough time to do this because after I had taken all of the first set of results I decided to do the child's book again because the results of the first one were too close together; so I did another set too make the results more comprehensible as I have shown. Sarah Hudson 11 ...read more.

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