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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 to find people to estimate the length of the line and the size of the angle, as I can ask my mums, dads and my friends. Now I could if I wanted to is do another hypothesis investigating whether the age of people effects whether they are good at estimating or not.

Middle

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 90 L 100 95 7 27 665 100 L 110 105 3 30 315 Total 2550 Women Line Length (L) (mm) Mid Interval Value (mm) Frequency Cumulative Frequency mxf 70 L 80 75 1 1 75 80 L 90 85 3 4 255 90 L 100 95 6 10 570 100 L 110 105 9 19 945 110 L 120 115 8 27 920 120 L 130 125 3 30 375 Total 3140 Men angle Size of Angle (A) (Degrees) mid interval value (degrees) Frequency Cumulative Frequency mxf 30 A 35 32 2 2 64 35 A 40 37 4 8 148 40 A 45 42 9 16 378 45 A 50 47 12 27 564 50 A 55 52 3 30 156 55 A 60 57 0 Total 1310 Women angle Size of Angle (A) (Degrees) mid interval value (degrees)

Conclusion

Men line Women line Mid-interval value = 80mm mid-interval value = 100mm Upper quartile = 88mm Upper quartile = 109mm 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

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