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JEE Math Practice Question

Consider three observations a, b, and c such that b = a + c. If the standard deviation of a + 2, b + 2, c + 2 is d, then which of the following is true?

  1. A.b2 = 3(a2 + c2) + 9d2
  2. B.b2 = 3(a2 + c2) $$-$$ 9d2
  3. C.b2 = 3(a2 + c2 + d2)
  4. D.b2 = a2 + c2 + 3d2

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