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# My Hypothesis is that 'Boys in Year 10 are better at estimating lengths of straight lines than Boys in Year 7'

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Introduction

G.C.S.E Maths Coursework – Handling data

My Hypothesis is that ‘Boys in Year 10 are better at estimating lengths of straight lines than Boys in Year 7’. The factors that influence the accuracy of estimation are children in Year 10 are more mature  than children in Year 7. On average Children in Year 10 are more intelligent than children in Year 7. This probably would be because Year 10 students have studied subjects into further depth than children in Year 7.

#### METHOD

To verify this I will do a sample of the boys in our school. To do this I will find the total number of children in our school and sort it out according to Y10’s and Year 7’s. I will find out this information by going to the school office and finding out the figures. Out of this population, I will do a stratified sampling of 60 children. To do a stratified sampling of 60 children in the whole school, I will find the proportion of boys in Year 10 and Year 7.

### STRATIFIED SAMPLING

Middle

Boys

10

110

33

7

89

27

## TOTAL

199

60

Altogether there are 1013 (one thousand and thirteen) students in our school. To work out the proportion of boys in Year 10 and Year 7, First of all I found out how boys were in Year 10 and Year 7. I added these together to get 199(one hundred and ninety-nine). Then I got the number of boys in each year and divided it by the total (199) and then multiplied it by 60(sixty). I rounded this answer to a whole number. This is because it would be an easier number to work with and you cannot round people to decimal places or significant figures.

In my survey, I went to the school office and I got all of the boy’s names in Year 10 and Year 7 on two separate pieces of paper. By each name was a number. To find out which boys from Year 10, I had to ask to estimate the length of the straight line, I put all the boys names in Year 10 in a hat and picked the amount of boys needed to estimate the length.

Conclusion

Survey must be done during school hours so that most of the subjects are in a similar frame of mind.

No items of measurement should be nearby, so that the subject has nothing to compare the line/angle to.

60 people must take part in the survey

All participants must be asked whether they are able to see the diagrams clearly.

Exactly the same words must be used when explaining about the survey

The participant must spend no more than two minutes (after pilot study –

The student may not communicate with anyone else who is able to view the paper or who has done the survey.

### PILOT STUDY

I performed my pilot study and I found out that my survey was done to a good standard was understandable and got to the point. The boys I tested it on commented that it was set out well and did not need altering. One thing they all asked me was, “Did I get it Right” or “How much was I off by”. This made me think for a while and in the end I concluded that I should a ‘Deviation’ and a ‘Percentage Error’ column in my results table.

-  -

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