Statistics?

Algebra Level 3

The elements of set \(S\) of real numbers with cardinality \(n\) form an arithmetic progression with common difference \(d\). Express the population standard deviation of set \(S\) in terms of \(n\) and \(d\).

An example of set \(S\) is \(\text{{2, 5, 8, 11, 14, 17}}\). It has cardinality 6, and its elements form an AP with common difference 3.

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