# Statistics - Men are more accurate than women at estimating the length of a line are.

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Introduction

Guestimate: Statistics Coursework

Hypothesis: Men are more accurate than women at estimating the length of a line are.

I am also going to investigate another hypothesis similar to the first one and this will give me results, which I can compare, which will give me a better conclusion.

Hypothesis 2: Men are more accurate than women at estimating the size of an angle are.

In order to investigate whether my 2 hypotheses are correct, I am going to draw a line and draw an angle on a piece of paper (see previous page). I am then going to ask 30 men and 30 women to estimate how long they think the line is and what size the angle is. By asking 30 people from each gender it give me more results, which is better for investigating my hypotheses, to if they are correct.

To make this a fair test I am going to ask men and women who are 17-45 years of age. This would make it easy

Middle

6

50 A 55

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11

55 A 60

ll

2

Total

30

30

From looking at my results at first glance I noticed that men are better at estimating the length of the line, but the angle results are very similar from both genders. Now I have my results from 30 men and 30 women, I am going to draw up some cumulative frequency tables so I can work out the mean number. By having the mean number it shows me which gender is better on average at estimating the size of my angle and the length of my line. The whole point of doing cumulative frequency charts is to work out the total and from that I can work out the mean (average) which will help me to see whether my two hypotheses are correct.

## Men line

Length (L) (mm) | Mid Interval Value (mm) | Frequency | Cumulative Frequency | mxf |

60 L 70 | 65 | 4 | 4 | 260 |

70 L 80 | 75 | 5 | 9 | 375 |

80 L 90 | 85 | 11 | 20 | 935 |

Conclusion

Lower quartile = 72mm lower quartile = 91mm

Men angle Women angle

Mid-interval value = 42 degrees mid-interval value = 46 degrees

Upper quartile = 45 degrees upper quartile = 50 degrees

Lower quartile = 36 degrees lower quartile = 39 degrees

Now that I have the mid-interval value, upper quartile, and lower quartile I can draw up some box plots which will help me to see overall what my results show. E.g. positive skew.

(See pages 6 & 7)

Conclusion on next page

Conclusion

From my investigation on working out if my two hypotheses are correct or not, I have found out that they are both correct in saying that “Men are more accurate than women at estimating the length of a line” and “Men are more accurate than women at estimating the size of an angle”. But the size of the angle results compared against each gender are very close, I think if I had asked more people from each gender then I would have had better results, giving me a very different mean numbers. I don’t think they would have been as close.

On page 8 I have written an evaluation about my project with improvements I could have made to give me better results and what I thought about my overall project.

Coursework by Michael Biggar

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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