Struges' Formula

masumeh said:

How can I prove Sturges' formula for determining number of classes in frequency distribution? k=Log₂n+1 (n=number of data, k=number of classes)

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You can't "prove" it, because there is no unique way to define classes. It is an empirical recipe - you may use it as a starting point for choosing classes in any specific case, but adjust to make rational class boundaries.

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