How do calculus and statistics relate in advanced data analysis?

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How do you combine calculus and statistics? The book I'm using says basic statistics do not require calculus. But, even for more advanced statistics, how can you apply calculus? (what do statistics and calculus have together)
 
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bomba923 said:
How do you combine calculus and statistics? The book I'm using says basic statistics do not require calculus. But, even for more advanced statistics, how can you apply calculus? (what do statistics and calculus have together)
To study continuous distributions fully, you must use calculus. The sums in discrete statistical distributions generalize to integrals.