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Guesstiamte - investigating whether men or women between the ages of 15-25 are better at guessing the length of a line and the size of an angle.
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Introduction
Introduction
I will be investigating whether men or women between the ages of 15-25 are better at guessing the length of a line and the size of an angle.
e
Hypothesis
I think that men will guess more accurately then women as men usually work in jobs that would require them to use measuring equipment. Men are also more technical. I have restricted my ages to between 15 and 25 so I am comparing like with like.
Plan
- Design a questionnaire asking the age, sex and guesstimate of the length of a line and the size of an angle.
- Gather data from the questionnaire.
- Take a stratified sample from the data.
- Randomly choose the stratified sample from the data.
- Work out the mean, median, mode and range averages from the results of the data.
- Do frequency tables, followed by frequency polygons.
- Do cumulative frequencies followed by box plots.
- Do a standard deviation.
- Conclude my findings and refer back to my hypothesis.
Throughout this investigation I will analyse my findings.
Questionnaire
- Circle which gender category best describes you.
Male Female
- Circle what age category best describes you
15 – 20 21 – 25
In centimetres and to no more than one decimal point please guestimate the length of the line.
…………………..cm
In degrees please guesstimate the size of the angle
……………………..degrees
Middle
7< x ≤8
0
16
8< x ≤9
0
16
9< x ≤10
0
16
10< x ≤11
0
16
11< x ≤12
ll
2
18
Women –Lines
Line cm | Tally | Frequency | Cumulative frequency |
3< x ≤4 | llll | 4 | 4 |
4< x ≤5 | llll lll | 8 | 12 |
Men – Angles
Angle ° | Tally | Frequency | Cumulative frequency |
25< x ≤30 | l | 1 | 1 |
30< x ≤35 | l | 1 | 2 |
35< x ≤40 | ll | 2 | 4 |
40< x ≤45 | llll llll | 10 | 14 |
45< x ≤50 | l | 1 | 15 |
50< x ≤55 | 0 | 15 | |
55< x ≤60 | 1 | 16 | |
60< x ≤65 | 0 | 16 | |
65< x ≤70 | 0 | 16 | |
70< x ≤75 | 0 | 16 | |
75< x ≤80 | 0 | 16 | |
80< x ≤85 | 0 | 16 | |
85< x ≤90 | l | 2 | 18 |
Women –Angles
Angle | Tally | Frequency | Cumulative frequency |
20< x ≤25 | l | 1 | 1 |
25< x ≤30 | 0 | 1 | |
30< x ≤35 | l | 1 | 2 |
35< x ≤40 | ll | 2 | 4 |
40< x ≤45 | llll lll | 8 | 12 |
Analysis Of Frequency polygons
The frequency polygon for the line estimates show that women guesstimated more accurately than men. Four women underestimated while seven men underestimated. Seven men guessed correctly while eight women guessed correctly. Four men overestimated while no women overestimated. This shows that although most of the men guessed correctly, as did most women, the men’s range is much greater due to just four anomalous overestimations.
22.2% of men overestimated, almost a quarter.
38.9% of men guessed correctly.
38.9% of men underestimated.
33.3% of women underestimated.
66.7% of women guessed correctly.
The frequency polygon for the angle estimates show that two women underestimated and two men underestimated. Two women guessed correctly and two men guessed correctly. Eight women overestimated and fourteen men overestimated.
66.7% of women overestimated
16.7% of women guessed correctly.
16.7% of women underestimated
77.
Conclusion
Conclusion
To conclude this investigation I will refer back to my original hypothesis where I stated that I thought men would be much better at guesstimating the length of a line and the size of an angle. Throughout this investigation my hypothesis has been proven to be wrong. The women’s guesses for the lines were all very close to the actual length whereas the men’s guesses, although 66.6% were as close to the actual length as the women’s, due to either much larger or smaller guesstimates ended up having a much larger range. This investigation has shown that men are more likely to overestimate, while women although fairly reliable are more likely to underestimate.
The angle estimates showed similar findings to the line estimates. Men are not as reliable as women when guessing the size of an angle. The men tended to overestimate their guesses and some of the results were ridiculously high.
Overall the results of this investigation have shown that women are more likely to be able to guess the length of a line and the size of an angle than men.
Evaluation
This experiment was a fair experiment as I used random sampling and a stratified sample to collect my results.
Cumulative frequencies were used to obtain the results from the interquartile range and how dispersed the guestimates were.
Standard deviations were used to show the results more clearly.
This student written piece of work is one of many that can be found in our GCSE Height and Weight of Pupils and other Mayfield High School investigations section.
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