In lab 3, our main focus was to represent percentage of a population in the form of a bar
graph.
Our prelab 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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 Spring '08
 Pietraho
 Calculus, Probability theory, probability density function, Likelihood function

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