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calc lab 3 - In lab 3 our main focus was to represent...

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In lab 3, our main focus was to represent percentage of a population in the form of a bar graph. Our pre-lab hypothesis which we were to test was whether increasing the amount of intervals by decreasing interval length would result in a refined chart that looks very much like the bell curve. Our results showed us that this is not always the case. We opened a file on Mathematica which contained a function with population attributes ranging between 0 and 20. The function S[a,b] worked where after S was equal to the percentage listed between a and b. We then plotted a graph dividing the percentages by 2,4,8,16,32,64,and 128 intervals respectively. We found out that the graph did not represent a real bell curve but was slightly skewed towards the left. We also found out that the graph flattened out over time. This was because as the amount of intervals increased, too few people could fit it one respective interval and so the results for neighboring intervals mirrored each other too closely.
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