# Part 1: Measures of Center Instructions: Analyze the Simulated Dat...

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Part 1:
The mean of the distribution of 2008 class averages is 692.5, its median is 693, and mode is 648. They are in fact very similar suggesting that the distribution is a typical bell-shaped with a single peak. If they are different, then we may suspect the skewness to the left or to the right. The following histogram proves my expectation of the shape of the distribution. It appears to be a bell-shaped coming from the normal distribution.

The side-by-side comparison barplots show that class averages among all schools are roughly similar. However, without any formal statistical tests, it is hard to see if any of the averages are different from others. But I would say that they are not terribly different from one another.

It is interesting that the observation that averages across all schools are very similar is translated to the shape of the distribution of whole observations being a bell-shaped, and it intuitively makes sense...

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