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.
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 >
- 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 >