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Answer is Square-root(14) or approximately +/-3.74.

Explanation:

To find the standard deviation, you must first find the mean of the population. In this case, the mean is (3+6+12)/3 = 21/3 = 7.

Then, we take the Square root of (average of the Squares of (mean - each number)).

= Square-root of ( [ (7-3)^2 + (7-6)^2 + (7-12)^2 ] / 3 )

= Square root of ( [ 16 + 1 + 25 ] / 3 )

= Square root of (42 / 3)

= Square root of (14)

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