Guestimation - investigating whether or not if people are good at guessing the length of a line they will be good at guessing the degrees of an angle.

Authors Avatar
Hypothesis

- I predict that if people are good at guessing the length of a line they will be good at guessing the degrees of an angle.

2- I predict that the higher the schooling year the better the estimate.

Target population

I have decided to investigate within the schooling ages of 7 and 9 firstly because these are easily available to collect due to having timetables and knowing where all the students will be when needed to guestimate. Another reason for picking students between these ages is that it is a big enough variety to draw conclusions from, and decide whether the amount of school really does improve the ability to guess the size of a line or angle. I will not be asking every year group as this will take up too much time and will not be necessary. I will be asking years 7, 9 and 11 this gives a big enough range of the amount of school experienced without asking every year.

Study Population

I have chosen to get a list of the students in years 7, 9 and 11 and then ask every fourth person on the list this will the give a quarter of each year being asked which is enough to draw conclusions from. I am not going to ask everyone in the three selected years because this would take to long and it is not compulsory to get the information I need.

Aims

I will prove my hypothesis true or false by asking the selected people to guess the length of a line or size of an angle and then find the mean median mode for each year and draw graphs. I will also draw a graph relating their guess of the size of an angle to their guess of the length of a line.

To gain fairly accurate results we will not let the pupils take the sheets away whilst guessing we will stay with them so there is no chance of using a rule or protractor. Possible things that may go wrong is that after we have asked one person they may go back and explain to the other people their opinion of the sizes that may give bias results to prevent this we will not tell them the actual answer.

Results

Year 7

Estimate of line

Estimate (cms)

>2 - 4?

>4 - 6 ?

>6 - 8 ?

>8 - 10 ?

>10 - 12 ?

>12 - 14 ?

>14 - 16 ?

>16 - 18 ?

>18 - 20 ?

Totals

Frequency

7

5

6

5

2

46

Mid-interval value

3

5

7

9

1

3

5

7

9

Frequency x mid-interval value

51

75

42

45

1

0

0

0

38

262

Mean = 262/46 = 5.70

Modal group = >2 - 4?

Median is approximately 5cms

Estimate (?)

>10 - 20>

>20 - 30>

>30 - 40>

>40 - 50>

>50 - 60>

>60 - 70>

>70 - 80>

>80 - 90>

>90 - 100>

Totals

Frequency

3

0

2

2

2

4

46

Mid-interval value

5

25

35

45

55

65

75

85

95

Frequency x mid-interval value

45

250

420

540

55

65

50

340

95

960

Range = 2-20 = 18

Estimate of angle

Mean = 1960/46 = 42.61

Modal group = >30 - 50?

Median is approximately 38?

Range = 10-100 = 90

Year 9

Estimate of line

Estimate

>2 - 4 >

>4 - 6 >

>6 - 8 >

>8 - 10 >

>10 - 12 >

>12 - 14 >

>14 - 16 >

>16 - 18 >

>18 - 20 >

Totals

Frequency

6

23

6

5

0

0

0

0

0

40

Mid-interval value

3

5

7

9

1

3

5

7

9

Frequency x mid-interval value

8

15

42

45

0

0

0

0

0

220

Mean = 220/40 = 5.50

Modal group = >4 - 6?

Median is approximately 5cms

Range = 2 - 10 =8

Estimate of angle

Estimate

>10 - 20>

>20 - 30>

>30 - 40>

>40 - 50>

>50 - 60>

>60 - 70>

>70 - 80>

>80 - 90>

>90 - 100>

Totals

Frequency

0

3

0

23

0

0

2

40

Mid-interval value

5

25

35

45

55

65

75

85

95

Frequency x mid-interval value

0

75

350

035

55

65

0

0

90

770

Mean = 1770/40 = 44.25

Modal group = >40 - 50?

Median is approximately 43?

Range = 20 - 100 =80

Year 11

Estimate of line

Estimate

>2 - 4 >

>4 - 6 >

>6 - 8 >

>8 - 10 >

>10 - 12 >
Join now!


>12 - 14 >

>14 - 16 >

>16 - 18 >

>18 - 20 >

Totals

Frequency

3

29

2

0

0

0

0

0

0

34

Mid-interval value

3

5

7

9

1

3

5

7

9

Frequency x mid-interval value

9

45

4

0

0

0

0

0

0

68

Mean = 168/34 = 4.94

Modal ...

This is a preview of the whole essay