Statistical data analysis is the process of scrutinizing and interpreting the logical implications of a data sample. It uses statistical tools and mathematical computations to study the relationships between the sets of information being analyzed. It also looks for hidden patterns that can be used to predict certain outcomes. 

In simple terms, without statistical data analysis, data is merely a jumble of numbers, words, and text that make no sense or serve no purpose. The process can also be likened to a person who is carefully piecing together the different parts of a puzzle, trying different combinations before finally succeeding in creating a meaningful picture. 

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