# 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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