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The reason for organizing, analyzing and classifying data is find out the data relates. The relationship between the elements of a data will form the basis of the information.
To integrate has two separate meanings. It might mean simply that different sets of data are put together. It can also refer to a mathematical process which is part of the calculus.
One reason I can think of why you might not be able to find the mean of numerical data would be if there were missing data points.
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Lost data can not be regained. There may be techniques to infer the missing data from the rest of that data but it would be domain specific and you may not be able to derive meaningful statistics from such a data set.