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This problem is an example of data preprocessing needed in a data mining process. Suppose a group of 12 sales price records has been sorted as...

This problem is an example of data preprocessing needed in a data mining process. Suppose a group of 12 sales price records has been sorted as follows:
5, 10, 11, 13, 15, 35, 50, 55, 72, 92, 204, 215 

Partition them into bins by each of the following methods. Show which values are in which bins. Then smooth the data using the bins and show the new set of smoothed values. Explain how each type of smoothing affect the data and the ways they are different. 

a.  (10%) equal-depth partitioning with 3 values per bin

b.  (15%) equal-width partitioning with 3 bins 


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