Real data distribution and normal distribution

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And see files :

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Standard_deviation_diagram.svg.png

description at en.wikipedia.org/wiki/Normal_distribution

prD2eg2.pdf

Explain/Answer the 2 questions below,

A) Figure prD2eg2.pdf shows real data distribution (bars) and normal distribution. Explain how different they are by measuring the following :

1. For each distribution (sorted data for data is in B2 and normal data is in GD3), what are the percentages of values that fall within a standard deviation from the mean? Useful commands in Octave to do so, after you download B.mat :

I=find( B2 > mean(B2) + std(B2),1)

J=find( B2 > mean(B2) – std(B2),1)

and B2 size is 448192

2. For each distribution, within how many standard deviation from the mean, more than 99% values are covered?

B) Based on the calculations under A), draw the conclusions :

1. How different or the same are the 2 distributions in terms of dispersion measure (standard deviation)?

2. Which data set is more random? Explain why is that so.

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