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# Hypothesis - The older the students are the more accurate they will be in estimating the size of the angle.

Extracts from this document...

Introduction

Satwinder Gandham 5B

Guestimate Course work

Hypothesis

The older the students are the more accurate they will be in estimating the size of the angle.

Plan

I will take 20 random samples from the 3rd year and 20 random samples from the 1st year out of a total of 292 individual sets of data. I will sort this data out and plot a cumulative frequency graph for each year.

I will take random samples by using the ran# button on my calculator. When is use the calculator will give a random number from 0-999. I will use the number after the decimal point. E.g. for 0.088 I would use number 88 on my list of data.

I will use this table:

 Random number on calculator Subtract by… 1-292 0 301-592 300 601-892 600

e.g. if the number on the calculator came out to 345. I would subtract 300 from 345. Which would give me an answer of 45,

and I can get that from my data.

Middle

st Years:
 Angle (degrees) C. Frequency 100-120 2 121-130 3 131-140 5 141-150 10 151-160 14 161-170 18 171-180 20

3rd Years

 Angle (degrees) C. Frequency 110-120 2 121-130 2 131-140 5 141-150 7 151-160 10 161-170 19 171-180 19 181-190 19 191-200 19 201-210 19 211-220 19 221-230 20

Analysis

 Years Median Lower quartile Upper quartile Inter quartile range How many correct estimates? Lowest estimate Highest estimate Mean 1st 150 140 163 23 3 100 185 153.15 3rd 160 140 167 27 2 115 230 158.85

The 3rd year’s median was the same as the actual size of the angle. The 1st years median was 150, 10 below the correct size of the angle (160). The 3rd years have a higher range and a higher inter quartile range.  The only evidence that shows that the 3rd years are more accurate than the 1st yrs is that the median is the same as the answer. However the 1st years have a lower range and more correct estimates than the 3rd years. The means of both years are fairly close the 1st years have a mean of 153.15 and the 3rd years mean is 158.85 as you can see in the above table.

Conclusion

year’s median is 158 and the 1st year’s median is 161.5, 3.5 more than the 3rd years. The 3rd years have a higher range but a lower inter quartile range.  The median for both 1st and 3rd years isn’t that much off the correct estimate. 1st years are 1.5 off it and 3rd years are 2 off it. The 1st year males mean is 162.1 and the 3rd year males mean is 156. The 1st year’s male mean shows that it is closer to the correct answer than the 3rd year males.

Overall Conclusion

1st years are more accurate than 3rd years in estimating the angle, but the 1st years males are more accurate than the 3rd year males (only just). The medians are about the same for 2nd hypothesis but overall the 3rd year males had more correct estimates than the 1st year males.

Evaluation

Overall I think that my investigation went reasonably well. The way in which I got the samples was a good way of choosing random samples and it worked well.

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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