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# We were set a piece of coursework that involved asking people to guess the line and the angle size that were drawn on a piece of paper.

Extracts from this document...

Introduction

Estimating lines and angles

The problem- We were set a piece of coursework that involved asking people to guess the line and the angle size that were drawn on a piece of paper.

We had to collect data, analyse it and then draw up a conclusion.

The method- I drew a line on a blank piece of paper and on another blank sheet I drew an angle. I then asked 15 girls and 15 boys from y10 to estimate the line and angle. I didn’t know the sizes at this point so that there was no way I could give people any clues.

When I collected my data it was randomly stratified. This was because I asked any body in my year that I came across I didn’t choose. But it was also stratified in that I made sure I asked 15 boys and 15 girls.

This is the table I will use to collect all my results on:

Middle

31.1

m

15

8

8.5

-1

-5.9

5.9

120

122

2

-1.6

1.6

m

15

10

8.5

1.5

17.6

17.6

145

122

-23

18.9

18.9

m

15

7

8.5

-2

-17.6

17.6

160

122

-38

31.1

31.1

f

15

10

8.5

1.5

17.6

17.6

167

122

-45

36.9

36.9

f

15

7

8.5

-2

-17.6

17.6

135

122

-13

10.7

10.7

f

15

7.5

8.5

-1

-11.8

11.8

150

122

-28

23.0

23.0

f

15

7

8.5

-2

-17.6

17.6

150

122

-28

23.0

23.0

m

15

8

8.5

-1

-5.9

5.9

130

122

-8

6.6

6.6

m

15

9

8.5

0.5

5.9

5.9

120

122

2

-1.6

1.6

Conclusion

I supported my hypothesis further by calculating the average percentage error for the angle and the line. I did this by using the absolute value columns in my table, here are the results:

Line: 18.2

Angle: 14.0

As you can see the average percentage error for the angle was lower than the average percentage error for the line. This does support my hypothesis further and proves people do find it easier to estimate angles than lines.

I think the person who estimated the line correctly was just lucky rather than skilled because the line wasn’t a whole number so it shouldn’t have been easy to estimate. However, it was a simple decimal with it being 5 which is a sensible decimal to estimate.

I don’t think that the angle wasn’t very easy to estimate either as I put it on a slant so that it would be harder to work out 90°.

This student written piece of work is one of many that can be found in our AS and A Level Probability & Statistics section.

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