A set of 5 distinct positive integers {a, b, c, d, e} has a standard deviation of S. If each integer in the set is multiplied by 3, forming a new set {3a, 3b, 3c, 3d, 3e}, what is the standard deviation of the new set?

✓ Correct Answer: Option C

When every value in a data set is multiplied by a constant 'k', the standard deviation of the new set is 'k' times the original standard deviation. Here, k=3, so the new standard deviation is 3S.