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# Find out whether my theory that year 10 pupils are better at estimating the length of a stick than year 7 pupils.

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Introduction

Maths Coursework Statistics Hypothesis- In my investigation I plan to find out whether my theory that year 10 pupils are better at estimating the length of a stick than year 7 pupils. Plan- In my investigation I plan to use secondary data gathered from both year 7 and year 10 pupils, which I will then do a random sample of which will be used to find the mean, median, mode, range as well as standard deviation which I will then put into groups and frequency tables to compare and from this I will hopefully be able to come to a conclusion. Aim- I am hoping to find if the statement that year 10 pupils are better at estimating length than year 7 pupils is true and find different ways of proving this. I am hoping to find a mean for the both groups to compare where I will hope to find that the year 10 mean is closer to the actual value (1.36m) than year 7 pupils and this I hope will help me come to a fair conclusion. I am also hoping to find the standard deviation for both groups and hope to find that year 10 pupils will have a smaller standard deviation than the year 7 pupils because I believe it is more reliable because it shows less range which means all of the pupils have answered fairly similarly because a wide range means people where miles away with their guessing. ...read more.

Middle

I will use the same method to do the year 10 pupils as I did with the year 7 pupils to make the investigation fair. Year 10 Girls Boys Again because I am working with data that in this case cannot be used with decimal places, so I will need to round them up and down. Boys Girls Year 10 Sample Because I have now randomly chosen a fair amount of both year 7 and year 10 pupils, I have now decided to find the mean, median, mode, range and standard deviation for the groups of year 7 boys and girls and year 10 boys and girls. Analysis of results To find out the standard deviation and the mean ( ) I will use my calculator, to find out the mode and range I can simply read off the answers and to find the median I will write down the values the find the answer. Year 7 Boys Girls Mean ( ) - Median- Mode- Range- Standard Deviation (2d.p)- Year 10 Boys Girls Mean ( )- Median- Mode- Range- Standard Deviation (2d.p)- Because I am trying to find that year 10 pupils are better at estimating length than year 7 pupils I will need to find an overall mean, median, mode, range and standard deviation for year 7 and Year 10 pupils. Year 7 Mean ( )- Median- Mode- Range- Standard Deviation (2d.p)- Year 10 Mean ( )- Median- Mode- Range- Standard Deviation (2d.p)- Now I have decided to put my results in to graphs and frequency tables because I believe these will help me come to a fair conclusion. ...read more.

Conclusion

I believe there was nothing wrong with this method and if I was made to re-do this investigation I would have used the same method. The main point that forced me to come to the conclusion that my investigation turned out inconclusive was the results themselves because I am trying to prove that a certain group of people (year 10) is better at estimating length than another group of people (year 7) and with these results I found that some year 7 pupils where actually better at estimating length than some year 10 pupils even though the majority in year 10 where better at estimating length it meant that I could not say that all year 10 pupils where better at estimating length and shows how difficult it was to come to the conclusion with the results of the standard deviation to consider as well. Another thing I believe is that the mean is hard to come to a conclusion with because out of the whole of year 10 the mean was 1.38m which not 1 person in the year had as their estimate. If I done this investigation again I would choose a lower percentage of people to choose from like 10% which would have been 18 pupils and any pupils who's estimates where way out I would discard them or make sure they do not guess stupidly and this would make it easier to come to a conclusion. ...read more.

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